| Title:
|
Biregular and uniform identities of algebras (English) |
| Author:
|
Płonka, Jerzy |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
40 |
| Issue:
|
3 |
| Year:
|
1990 |
| Pages:
|
367-387 |
| . |
| Category:
|
math |
| . |
| MSC:
|
08B05 |
| idZBL:
|
Zbl 0728.08005 |
| idMR:
|
MR1065017 |
| DOI:
|
10.21136/CMJ.1990.102390 |
| . |
| Date available:
|
2008-06-09T15:33:33Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102390 |
| . |
| Reference:
|
[1] C. Birkhoff: On the Structure of Abstract Algebras.Proc. Cambridge Phil. Soc. 31 (1935) 433-454. Zbl 0013.00105 |
| Reference:
|
[2] C. Birkhoff: Subdirect Unions in Universal Algebra.Bull. Amer. Math. Soc. 50 (1944) 764-768. Zbl 0060.05809, MR 0010542, 10.1090/S0002-9904-1944-08235-9 |
| Reference:
|
[3] S. Burris H. P. Sankappanavar: A Course in Universal Algebra.Springer-Verlag, New York-Heidelberg-Berlin 1981. MR 0648287 |
| Reference:
|
[4] A. H. Clifford: Semigroups Admitting Relative Inverses.Annales of Mathematics, vol.42, No.4, 1941. Zbl 0063.00920, MR 0005744 |
| Reference:
|
[5] A. H. Clifford: Bands of Semigroups.Proc. Amer. Math. Soc., 5, (499-504), 1954. Zbl 0055.25001, MR 0062119, 10.1090/S0002-9939-1954-0062119-9 |
| Reference:
|
[6] E. Craczynska: On Regular Identites.Algebra Universalis, 17 (1983), 369-375. MR 0729944, 10.1007/BF01194544 |
| Reference:
|
[7] M. Hall: The Theory of Groups.The Macmillan Company, New York, 1959. Zbl 0084.02202, MR 0103215 |
| Reference:
|
[8] R. John: On Classes of Algebras Definable by Regular Equations.Colloq. Math., 36 (1976), 17-21. Zbl 0355.08003, MR 0424645, 10.4064/cm-36-1-17-21 |
| Reference:
|
[9] B. Jónsson E. Nelson: Relatively Free Products in Regular Varieties.Algebra Universalis, 4 (1974), 14-19. MR 0360406, 10.1007/BF02485701 |
| Reference:
|
[10] H. Lakser R. Padmanabhan C. R. Platt: Subdirect decompositions of Plonka sum.Duke. Math. J., vol. 39, No 3 (1972), pp. 485-488. MR 0304281, 10.1215/S0012-7094-72-03954-3 |
| Reference:
|
[11] R. Padmanabhan: Regular identities in Lattices.Trans. Amer. Math. Soc., 158 (1971), 179-188. Zbl 0249.06005, MR 0281661, 10.1090/S0002-9947-1971-0281661-3 |
| Reference:
|
[12] J. Plonka: On a Method of Construction of Abstract Algebras.Fund. Math., 61 (1967), 183-189. Zbl 0168.26701, MR 0225701, 10.4064/fm-61-2-183-189 |
| Reference:
|
[13] J. Plonka: On Equational Classes of Abstract Algebras Defined by Regular Equations.Fund. Math., 64 (1969), 241-247. Zbl 0187.28702, MR 0244133, 10.4064/fm-64-2-241-247 |
| Reference:
|
[14] J. Plonka: On Varieties of Algebras Defined by Identities of Some Speical Forms.Houston Journal of Mathematics, 14 (1988), 253-263. MR 0978732 |
| Reference:
|
[15] J. Plonka: On the Subdirect Product of Some Equational Classes of Algebras.Mathematische Nachrichten, 63 (1974), 303-305. Zbl 0289.08002, MR 0360414, 10.1002/mana.3210630126 |
| Reference:
|
[16] J. Pionka: Biregular and Uniform Identities in Bisemilattices.Demonstratio Mathematica, Vol. XX, No 1-2, 1987, 95- 108. |
| Reference:
|
[17] J. Plonka: On the Sum of a System of Disjoint Unary Algebra Corresponding to a Given Type.Bull. Acad. Polish. Sc., Vol. XXX, No 7-8, 1982. MR 0707740 |
| Reference:
|
[18] A. Tarski: Equational Logic and Equational Theories of Algebras in Contributions to Mathematical Logic.Colloquium, Hannover, 1966, Nort-Holland, Amsterdam, 1968, 275-288. MR 0237410 |
| . |
