| Title:
|
Štefan Schwarz (1914–1996) (English) |
| Author:
|
Riečan, Beloslav |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
47 |
| Issue:
|
2 |
| Year:
|
1997 |
| Pages:
|
375-382 |
| . |
| Category:
|
math |
| . |
| MSC:
|
01A70 |
| idZBL:
|
Zbl 0927.01019 |
| idMR:
|
MR1452426 |
| . |
| Date available:
|
2009-09-24T10:06:08Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127362 |
| . |
| Reference:
|
[1] : On the reducibility of polynomials over an algebraic number field modulo of a prime ideal.Časopis pěst. mat. fyz. 68 (1939), 112–127. (German) |
| Reference:
|
[2] : A contribution to the reducibility of a polynomial in the theory of congruences.Věstník Král. české spol. nauk 7 (1939), 1–9. (French) |
| Reference:
|
[3] : On the number of roots and irreducible factors of polynomials over a finite field.Časopis pěst. mat. fyz. 69 (1949), 128–146. (French) |
| Reference:
|
[4] : On a theorem of S. Lubelski.Časopis pěst. mat. fyz. 69 (1940), 147–150. (German) |
| Reference:
|
[5] : A contribution to the arithmetic of finite fields.Prírodovedecká príloha Technického obzoru slovenského I (1940), 75–82. (Slovak) |
| Reference:
|
[6] : A contribution to the theory of congruences.Prírodovedecká príloha Technického obzoru slovenského II (1941), 89–92, 95–100. (Slovak) |
| Reference:
|
[7] : A contribution to the theory of Galois‘s fields.Prírodovedecká príloha Technického obzoru slovenského III (1942), 1–4. (Slovak) |
| Reference:
|
[8] : Theory of semigroups.Sborník prác Prírodovedeckej fakulty Slovenskej univerzity VI, Bratislava, 1943, pp. 64. (Slovak) |
| Reference:
|
[9] : A hyperkomplex proof of the Jordan-Kronecker’s Principle of reduction.Časopis pěst. mat. fys. 71 (1946), 17–21. MR 0020077 |
| Reference:
|
[10] : A contribution to the reducibility of binomial congruences.Časopis pěst. mat. fys. 71 (1946), 21–32. (Czech) |
| Reference:
|
[11] : On the extension of the Jordan-Kronecker’s Principle of reduction for inseparable polynomials.Časopis pěst. mat. fys. 73 (1947), 61–64. Zbl 0036.29902, MR 0022839 |
| Reference:
|
[12] : On Waring’s Problem for finite fields.Quart. J. Math., Oxford Ser. 19 (1948), 123–128. Zbl 0030.11302, MR 0024941 |
| Reference:
|
[13] : On generalization of Jordan-Kronecker’s Principle of reduction.Věstník Král. české spol. nauk 2 (1948), 1–29. MR 0026639 |
| Reference:
|
[14] : On the equation $a_{1}x_{1}^{k}+a_{2}x_{2}^{k}\ldots +a_{k}x_{k}^{k}+b\,=\,0$ in finite fields.Quart. J. Math., Oxford Ser. 19 (1948), 160–164. MR 0026065 |
| Reference:
|
[15] : A contribution to the theory of cyclic fields.Sborník prác SVŠT, Bratislava, 1948, pp. 7. (Slovak) |
| Reference:
|
[16] : On the reducibility of binomial congruences and the least bound of an integer belonging to a given exponent (mod $p$).Časopis pěst. mat. fys. 74 (1949), 1–17. |
| Reference:
|
[17] : On universal forms in finite fields.Časopis pěst. mat. fys. 75 (1950), 45–50. Zbl 0036.29203, MR 0035306 |
| Reference:
|
[18] : On the generalization of the notion of a group.Časopis pěst. mat. fys. 74 (1949), 95–113. (Slovak) |
| Reference:
|
[19] : On equations of the form $ c_{1}x_{1}^{k_1}+c_{2}x_{2}^{k_2}+\ldots +c_{s}x_{s}^{k_s}\,=\,c$ in finite fields.Časopis pěst. mat. fys. 74 (1949), 175–176. (Slovak) |
| Reference:
|
[20] : On the structure of finite semigroups without zeros.Czechoslovak Math. J. 1 (76) (1951), 51–65. (Russian) |
| Reference:
|
[21] : On the structure of simple semigroups without zero.Czechoslovak Math. J. 1 (76) (1951), 41–53. Zbl 0045.15608, MR 0048428 |
| Reference:
|
[22] : On semigroups having a kernel.Czechoslovak Math. J. 1 (76) (1951), 259–301. (Russian) MR 0051221 |
| Reference:
|
[23] : On semigroups having a kernel.Czechoslovak Math. J. 1 (76) (1951), 229–264. MR 0051221 |
| Reference:
|
[24] : On the theory of periodic semigroups.Czechoslovak Math. J. 3 (78) (1953), 7–21. (Russian) |
| Reference:
|
[25] : On maximal ideals in the theory of semigroups I.Czechoslovak Math. J. 3 (78) (1953), 139–153. (Russian) MR 0061591 |
| Reference:
|
[26] : Maximal ideals and the structure of semigroups.Mat.-fyz. čas. Slovenskej akad. vied 3 (1953), 17–39. (Slovak) MR 0064784 |
| Reference:
|
[27] : On maximal ideals in the theory of semigroups II.Czechoslovak Math. J. 3 (78) (1953), 365–383. (Russian) MR 0061592 |
| Reference:
|
[28] : The theory of characters of commutative semigroups.Czechoslovak Math. J. 4 (79) (1954), 219–247. (Russian) Zbl 0059.02003, MR 0069815 |
| Reference:
|
[29] : Characters of commutative semigroups as class funcions.Czechoslovak Math. J. 4 (79) (1954), 291–295. (Russian) MR 0069816 |
| Reference:
|
[30] : On a Galois conection in the theory of characters of semigroups.Czechoslovak Math. J. 4 (79) (1954), 296–313. (Russian) MR 0069817 |
| Reference:
|
[31] : Characters of commutative semigroups.Proceedings of the International Congress of Mathematicians 1954, Vol. 1, Amsterdam, 1957, pp. 438. |
| Reference:
|
[32] : On Hausdorff bicompact semigroups.Czechoslovak Math. J. 5 (80) (1955), 1–23. (Russian) Zbl 0068.02301, MR 0074769 |
| Reference:
|
[33] : Topological semigroups with one-sided units.Czechoslovak Math. J. 5 (80) (1955), 153–163. (Russian) Zbl 0068.02402, MR 0074771 |
| Reference:
|
[34] : Characters of bicompact semigroups.Czechoslovak Math. J. 5 (80) (1955), 24–28. (Russian) MR 0074770 |
| Reference:
|
[35] : A remark to the theory of bicompact semigroups.Mat.-fyz. čas. Slovenskej akad. vied 5 (1955), 86–89. (Slovak) MR 0077872 |
| Reference:
|
[36] : On magnifying elements in the theory of semigroups.Doklady Akad. Nauk SSSR 102 (1955), no. 4, 697–698. (Russian) MR 0071710 |
| Reference:
|
[37] : On a type of universal forms in discretely valued fields.Acta Sci. Math. (Szeged) XVII (1956), no. 1–2, 5–29. Zbl 0072.03504, MR 0081918 |
| Reference:
|
[38] : The theory of characters of commutative Hausdorff bicompact semigroups.Czechoslovak Math. J. 6 (81) (1956), 330–364. MR 0092098 |
| Reference:
|
[39] : Once more on quadratic polynomials with prime values.Časopis pěst. mat. 81 (1956), 241–243 (with Ján Mařík). (Czech) |
| Reference:
|
[40] : On the reducibility of polynomials over a finite field.Quart J. Math., Oxford Ser. 7 (1956), 110–124. Zbl 0071.01703, MR 0096679, 10.1093/qmath/7.1.110 |
| Reference:
|
[41] : Semigroups satisfying some weakened forms of the cancellation laws.Mat.–fyz. čas. Slovenskej akad. vied 6 (1956), 149–158. (Slovak) MR 0091281 |
| Reference:
|
[42] : On the existence of invariant measures on certain types of bicompact semigroups.Czechoslovak Math. J. 7 (82) (1957), 165–182. (Russian) MR 0089364 |
| Reference:
|
[43] : On the structure of the semigroup of measures on finite semigroups.Czechoslovak Math. J. 7 (82) (1957), 358–373. MR 0095215 |
| Reference:
|
[44] : An elementary semigroup theorem and congruence relation of Rédei.Acta Sci. Math. (Szeged) XIX (1958), no. 1–2, 1–4. |
| Reference:
|
[45] : On the multiplicative semigroup of conguence classes (mod $m$).Mat.–fyz. čas. Slovenskej akad. vied 8 (1958), 136–150 (with Bohumír Parízek). (Slovak) MR 0103938 |
| Reference:
|
[46] : Remarks on compact semigroups.Colloq. Math. (Wroclaw) VI (1958), 265–270 (with Jan Los). Zbl 0086.02203, MR 0100649 |
| Reference:
|
[47] : On totally noncommutative semigroups.Mat.-fyz. čas. Slovenskej akad. vied 9 (1959), 92–100 (with Dorota Krajňáková). (Russian) MR 0123629 |
| Reference:
|
[48] : On dual semigroups.Czechoslovak Math. J. 10 (85) (1960), 201–230. Zbl 0098.01602, MR 0117294 |
| Reference:
|
[49] : A theorem on normal semigroups.Czechoslovak Math. J. 10 (85) (1960), 197–200. Zbl 0098.01704, MR 0116075 |
| Reference:
|
[50] : Semigroups, in which every proper subideal is a group.Acta Sci. Math. (Szeged) XXI (1960), no. 3–4, 125–134. Zbl 0095.01406, MR 0130922 |
| Reference:
|
[51] : On a class of polynomials over a finite field.Mat.-fyz. čas. Slovenskej akad. vied 10 (1960), 68–80. (Russian) Zbl 0104.01603, MR 0130245 |
| Reference:
|
[52] : On the number of irreducible factors of a polynomial over a finite field.Czechoslovak Math. J. 11 (86) (1961), 213–225. (Russian) Zbl 0102.25303, MR 0123558 |
| Reference:
|
[53] : Semicharacters of the multiplicative semigroup of integers modulo $m$.Mat.-fyz. čas. Slovenskej akad. vied 11 (1961), 63–74 (with Bohumír Parízek). MR 0139682 |
| Reference:
|
[54] : Subsemigroups of simple semigroups.Czechoslovak Math. J. 13 (88) (1963), 226–239. Zbl 0122.02402, MR 0158014 |
| Reference:
|
[55] : Probabilities on non-commutative semigroups.Czechoslovak Math. J. 13 (88) (1963), 372–426. Zbl 0137.35302, MR 0160191 |
| Reference:
|
[56] : Probability measures on non-commutative semigroups.General Topology and its Relations to Modern Analysis and Algebra, Proceedings of the Symposium held in Prague in September 1961, pp. 312–315. Zbl 0118.11601 |
| Reference:
|
[57] : Cyclic matrices and algebraic equations over a finite field..Mat.-fyz. čas. Slovenskej akad. vied 12 (1962), 38–48 (with Kornélia Horáková). (Russian) Zbl 0108.01502, MR 0159814 |
| Reference:
|
[58] : A remark on algebraic equations over a finite field.Mat.-fyz. čas. Slovenskej akad. vied 12 (1962), 224–229. (Russian) MR 0157963 |
| Reference:
|
[59] : Convolution semigroup of measures on compact non-commutative semigroups.Czechoslovak Math. J. 14 (89) (1964), 95–115. MR 0169969 |
| Reference:
|
[60] : Product decomposition of idempotent measures on compact semigroups.Czechoslovak Math. J. 14 (89) (1964), 121–124. Zbl 0151.18902, MR 0169970 |
| Reference:
|
[61] : Homomorphisms of completely simple semigroups onto a group.Mat.-fyz. čas. Slovenskej akad.vied 12 (1962), 293–300. MR 0158942 |
| Reference:
|
[62] : On a system of congruences. A remark on the preceding paper of J.Sedláček.Mat.-fyz. čas. Slovenskej akad. vied 13 (1963), 103–104. (Slovak) MR 0157931 |
| Reference:
|
[63] : A semigroup treatment of some theorems on non-negative matrices.Czechoslovak Math. J. 15 (90) (1965), 212–229. Zbl 0232.20139, MR 0175919 |
| Reference:
|
[64] : On the structure of the semigroup of stochastic matrices.Publ. of the Math. Inst. Hungarian Acad. Vol. IX, Series A, Fasc. 3 (1965), 297–311. MR 0188337 |
| Reference:
|
[65] : On powers of non-negative matrices.Mat.-fyz. časopis Slovenskej akad. vied 15 (1965), 215–228. Zbl 0158.28302, MR 0191987 |
| Reference:
|
[66] : A remark to the theory of non-negative matrices.Sibir. Math. J. 6 (1965), 207–211. (Russian) MR 0171791 |
| Reference:
|
[67] : A new approach to some problems in the theory of non-negative matrices.Czechoslovak Math. J. 16 (91) (1966), 274–284. Zbl 0232.20140, MR 0201452 |
| Reference:
|
[68] : New kinds of theorems on non-negative matrices.Czechoslovak Math. J. 16 (91) (1966), 285–295. MR 0201453 |
| Reference:
|
[69] : Some estimates in the theory of non-negative matrices.Czechoslovak Math. J. 17 (92) (1967), 399–407. Zbl 0159.32603, MR 0217101 |
| Reference:
|
[70] : A note on the structure of the semigroup of doubly-stochastic matrices.Mat. čas. 17 (1967), 308–316. Zbl 0157.04902, MR 0241451 |
| Reference:
|
[71] : On the index of imprimitivity of a non-negative matrix.Acta Sci. Math. (Szeged) 28 (1967), 185–189. Zbl 0232.15004, MR 0214610 |
| Reference:
|
[72] : Algebraic considerations on powers of stochastic matrices.Mat. čas. 18 (1968), 218–228. Zbl 0176.30506, MR 0245605 |
| Reference:
|
[73] : Prime ideals and maximal ideals in semigroups.Czechoslovak Math. J. 19 (94) (1969), 72–79. Zbl 0176.29503, MR 0237680 |
| Reference:
|
[74] : On the semigroup of binary relations on a finite set.Czechoslovak Math. J. 20 (95) (1970), 632–679. Zbl 0228.20034, MR 0296190 |
| Reference:
|
[75] : On a sharp estimate in the theory of binary relations on a finite set.Czechoslovak Math. J. 20 (95) (1970), 703–714. MR 0282862 |
| Reference:
|
[76] : On idempotent relations on a finite set.Czechoslovak Math. J. 20 (95) (1970), 696–702. MR 0268047 |
| Reference:
|
[77] : Any $0$-simple dual semigroup is completely $0$-simple.Semigroup Forum 2 (1971), 90–92. MR 0281819, 10.1007/BF02572281 |
| Reference:
|
[78] : On the structure of dual semigroups.Czechoslovak Math. J. 21 (96) (1971), 461–483. Zbl 0232.20116, MR 0292982 |
| Reference:
|
[79] : The semigroup of fully indecomposable relations and Hall relations.Czechoslovak Math. J. 23 (98) (1973), 151–163. Zbl 0261.20057, MR 0316612 |
| Reference:
|
[80] : A note on small categories with zero.Acta Sci. Math. (Szeged) 35 (1973), 161–164. Zbl 0273.20048, MR 0330334 |
| Reference:
|
[81] : Summs of powers of binary relations.Mat. čas. 24 (1974), 161–171. (Russian) MR 0363909 |
| Reference:
|
[82] : Circulant Boolean relation matrices.Czechoslovak Math. J. 24 (99) (1974), 252–253. Zbl 0329.20049, MR 0348018 |
| Reference:
|
[83] : The ideal structure of $C$-semigroups.Czechoslovak Math. J. 27 (102) (1977), 313–338. Zbl 0376.20038, MR 0439961 |
| Reference:
|
[84] : The semigroup of circulant Boolean matrices.Czechoslovak Math. J. 26 (101) (1976), 632–635 (with Kim H. Butler). Zbl 0347.20037, MR 0430121 |
| Reference:
|
[85] : A counting theorem in the semigroup of circulant Booleant matrices.Czechoslovak Math. J. 27 (102) (1977), 504–510. MR 0457603 |
| Reference:
|
[86] : Semigroups containing maximal ideals.Math. Slovaca 28 (1978), 157–168. Zbl 0378.20047, MR 0526854 |
| Reference:
|
[87] : Intersections of maximal ideals in semigroups.Semigroup Forum 12 (1976), 367–372. Zbl 0337.20025, MR 0414760, 10.1007/BF02195942 |
| Reference:
|
[88] : A theorem on binary relations and infinite regular languages.Semigroup Forum 17 (1979), 307–316. Zbl 0425.20053, MR 0532422, 10.1007/BF02194330 |
| Reference:
|
[89] : The Euler-Fermat Theorem for the semigroup of circulant Boolean matrices.Czechoslovak Math. J. 30 (105) (1980), 135–141. Zbl 0443.20053, MR 0565916 |
| Reference:
|
[90] : Infinite products on doubly stochastic matrices.Acta Math. Univ. Comenian. 39 (1980), 131–150. MR 0619269 |
| Reference:
|
[91] : The role of semigroups in the elementary theory of numbers.Math. Slovaca 31 (1981), 369–395. Zbl 0474.10002, MR 0637966 |
| Reference:
|
[92] : An unconventional problem in the elementary theory of numbers.Czechoslovak Math. J. 31 (106) (1981), 159–169. Zbl 0468.10002, MR 0604122 |
| Reference:
|
[93] : Extensions of Bauer’s identical congruences.Math. Slovaca 33 (1983), 209–224. Zbl 0519.10003, MR 0699091 |
| Reference:
|
[94] : Common consequents in directed graphs.Czechoslovak Math. J. 35 (110) (1985), 212–247. Zbl 0575.05041, MR 0787126 |
| Reference:
|
[95] : Fermat’s Theorem for matrices revisited.Math. Slovaca 35 (1985), 343–347. Zbl 0584.15007, MR 0820630 |
| Reference:
|
[96] : Right compositions of semigroups.Math. Slovaca 36 (1988), 3–14. MR 0832365 |
| Reference:
|
[97] : A combinatorial problem arising in finite Markov chains.Math. Slovaca 36 (1986), 199–210. Zbl 0615.15006, MR 0849711 |
| Reference:
|
[98] : Semigroups with a universally minimal left ideal.Acta Sci. Math. (Szeged) 52 (1988), 21–28. Zbl 0662.20046 |
| Reference:
|
[99] : Construction of normal bases in cyclic extensions of a field.Czechoslovak Math. J. 38 (113) (1988), 291–312. Zbl 0671.12006, MR 0946299 |
| Reference:
|
[100] : Irreducible polynomials over finite field with linearly independent roots.Math. Slovaca 38 (1988), 147–158. MR 0945368 |
| Reference:
|
[101] : Powers of subsets of finite semigroups.Semigroup Forum 51 (1995), 1–22. MR 1336994, 10.1007/BF02573616 |
| Reference:
|
[102] : Universal formulae of Euler-Fermat type for subsets of $Z_m$.Collect. Math. 46 (1995), no. 1–2, 183–193. MR 1366140 |
| Reference:
|
[103] : An explicit description of the set of all normal bases generators of a finite fields.Submitted to Czech. Math. J., pp. 13 (with Karol Nemoga). |
| Reference:
|
[104] : On equations.1st ed., Prague, 1940, pp. 96. (Czech) |
| Reference:
|
[105] : On equations.3rd ed., Prague, 1947, pp. 160. (Czech) |
| Reference:
|
[106] : Algebraic numbers.Přírodovědecké nakl., Prague, 1950, pp. 292. (Slovak) Zbl 0041.01105 |
| Reference:
|
[107] : The theory of solutions of equations.Nakl. ČSAV, Prague, 1958, pp. 348. (Slovak) |
| Reference:
|
[108] : The theory of solutions of equations.Vydavateľstvo SAV, 1st ed., Bratislava, 1967, pp. 440. |
| . |
