| Title:
|
Regularity of algebras with applications to congruence class geometry (English) |
| Author:
|
Duda, Jaromír |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
19 |
| Issue:
|
4 |
| Year:
|
1983 |
| Pages:
|
199-208 |
| . |
| Category:
|
math |
| . |
| MSC:
|
08A30 |
| MSC:
|
08B05 |
| MSC:
|
51A25 |
| idZBL:
|
Zbl 0541.08002 |
| idMR:
|
MR725222 |
| . |
| Date available:
|
2008-06-06T06:12:42Z |
| Last updated:
|
2012-05-09 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107174 |
| . |
| Reference:
|
[1] Cһajda I.: Regularity and permutability of congruences.Algеbra Univ. 11 (1980), 159-162 MR 0588209 |
| Reference:
|
[2] Csákány B.: Characterization of regular varieties.Acta Sci. Math. (Szeged) 31 (1970), 187-189 MR 0272697 |
| Reference:
|
[3] Сsákány B.: Congruences and subalgebras.Ann. Univ. Sci. Budapеst, Sеct. Math. 18 (1975) 37-44. MR 0414462 |
| Reference:
|
[4] Duda J.: Quotient algebras of implicative semilattices.Glasnik Matеmatički (Zagrеb) 15 (1980), 251-257. Zbl 0454.06002, MR 0608874 |
| Reference:
|
[5] Duda J.: Maľcev conditions for regular and weakly regular subalgebras of the square.Acta Sci. Math. (Szеgеd), to appеar. |
| Reference:
|
[6] Duda J.: On two schemes applied in Maľcev-type theorems.Ann. Univ. Sci. Budapеst, Sеct. Math., 26 (1983) 39-45. MR 0719774 |
| Reference:
|
[7] Fichtnег K.: Varieties of universal algebras with ideals.(in Russian), Mat. Sbornik, 75 (117) (1968), 445-453. MR 0222001 |
| Reference:
|
[8] Gгätzеr G.: Universal Algebra.Sеcond Expandеd Edition, Springеr Vеrlag, Nеw York, Bеrlin, Hеidеlbеrg, 1979. MR 0538623 |
| Reference:
|
[9] Grätzer G.: Two Maľcev-type theorems in universal algebra.J. Comb. Theory 8 (1970), 334-342. MR 0279022 |
| Reference:
|
[10] Hagemann J.: On regular and weakly regular congruences.Preprint Nr. 75, TH-Darmstadt, 1973. |
| Reference:
|
[11] Maľcev A. I.: On the general theory of algebraic systems.(in Russian), Mat. Sbornik, N. S. 35 (77) (1954), 3-20. MR 0065533 |
| Reference:
|
[12] Nemitz W. C: Implicative semi-lattices.Trans. Amer. Math. Soc. 117, (1965), 128-142. Zbl 0128.24804, MR 0176944 |
| Reference:
|
[13] Pasini A.: Affine coordinatization of incidence spaces by universal algebras.Matematiche (Catania) 30, (1975), 78-93 Zbl 0347.08001, MR 0430945 |
| Reference:
|
[14] Pasini A.: On the incidence algebras.Preprint 1978. MR 0644609 |
| Reference:
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[15] Pasini A.: On the finite transitive incidence algebras.Bolletino U. M. I. 17, (1980), 373-389. Zbl 0437.20031, MR 0572608 |
| Reference:
|
[16] Thurston H. A.: Derived operations and congruences.Proc. London Math. Soc. (3), 8, (1958), 127-134. Zbl 0078.01901, MR 0091924 |
| Reference:
|
[17] Timm J.: On regular algebras.Colloq. Math. Soc. János Bolyai, 17. Contributions to universal algebra, Szeged 1975, 503-514. MR 0491418 |
| Reference:
|
[18] Werner H.: Produkte von Kongruenzklassengeometrien universeller Algebren.Math. Zeitschrift 121, (1971), 111-140. Zbl 0203.22902, MR 0281681 |
| Reference:
|
[19] Werner H., Wille R.: Über den projektiven Abschluss von Äquivalenzklassengeometrien.Beiträge zur geometrischen Algebra, 345-352, Birkhäuser Verlag, Basel 1977. Zbl 0386.51003, MR 0552769 |
| Reference:
|
[20] Wille R.: Kongruenzklassengeometrien.Lecture Notes in Mathematics, Vol. 113, Springer Verlag, Berlin, Heidelberg and New York 1970. Zbl 0191.51403, MR 0262149 |
| . |
