Geodesic
Regularity of algebras with applications to congruence class geometry
Archivum mathematicum, Tome 19 (1983) no. 4, pp. 199-208 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

Classification : 08A30, 08B05, 51A25 
@article{ARM_1983_19_4_a2,
     author = {Duda, Jarom{\'\i}r},
     title = {Regularity of algebras with applications to congruence class geometry},
     journal = {Archivum mathematicum},
     pages = {199--208},
     year = {1983},
     volume = {19},
     number = {4},
     mrnumber = {725222},
     zbl = {0541.08002},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_1983_19_4_a2/}
}
TY  - JOUR
AU  - Duda, Jaromír
TI  - Regularity of algebras with applications to congruence class geometry
JO  - Archivum mathematicum
PY  - 1983
SP  - 199
EP  - 208
VL  - 19
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/ARM_1983_19_4_a2/
LA  - en
ID  - ARM_1983_19_4_a2
ER  - 
%0 Journal Article
%A Duda, Jaromír
%T Regularity of algebras with applications to congruence class geometry
%J Archivum mathematicum
%D 1983
%P 199-208
%V 19
%N 4
%U http://geodesic.mathdoc.fr/item/ARM_1983_19_4_a2/
%G en
%F ARM_1983_19_4_a2
Duda, Jaromír. Regularity of algebras with applications to congruence class geometry. Archivum mathematicum, Tome 19 (1983) no. 4, pp. 199-208. http://geodesic.mathdoc.fr/item/ARM_1983_19_4_a2/

[1] Cһajda I.: Regularity and permutability of congruences. Algеbra Univ. 11 (1980), 159-162 | MR

[2] Csákány B.: Characterization of regular varieties. Acta Sci. Math. (Szeged) 31 (1970), 187-189 | MR

[3] Сsákány B.: Congruences and subalgebras. Ann. Univ. Sci. Budapеst, Sеct. Math. 18 (1975) 37-44. | MR

[4] Duda J.: Quotient algebras of implicative semilattices. Glasnik Matеmatički (Zagrеb) 15 (1980), 251-257. | MR | Zbl

[5] Duda J.: Maľcev conditions for regular and weakly regular subalgebras of the square. Acta Sci. Math. (Szеgеd), to appеar.

[6] Duda J.: On two schemes applied in Maľcev-type theorems. Ann. Univ. Sci. Budapеst, Sеct. Math., 26 (1983) 39-45. | MR

[7] Fichtnег K.: Varieties of universal algebras with ideals. (in Russian), Mat. Sbornik, 75 (117) (1968), 445-453. | MR

[8] Gгätzеr G.: Universal Algebra. Sеcond Expandеd Edition, Springеr Vеrlag, Nеw York, Bеrlin, Hеidеlbеrg, 1979. | MR

[9] Grätzer G.: Two Maľcev-type theorems in universal algebra. J. Comb. Theory 8 (1970), 334-342. | MR

[10] Hagemann J.: On regular and weakly regular congruences. Preprint Nr. 75, TH-Darmstadt, 1973.

[11] Maľcev A. I.: On the general theory of algebraic systems. (in Russian), Mat. Sbornik, N. S. 35 (77) (1954), 3-20. | MR

[12] Nemitz W. C: Implicative semi-lattices. Trans. Amer. Math. Soc. 117, (1965), 128-142. | MR | Zbl

[13] Pasini A.: Affine coordinatization of incidence spaces by universal algebras. Matematiche (Catania) 30, (1975), 78-93 | MR | Zbl

[14] Pasini A.: On the incidence algebras. Preprint 1978. | MR

[15] Pasini A.: On the finite transitive incidence algebras. Bolletino U. M. I. 17, (1980), 373-389. | MR | Zbl

[16] Thurston H. A.: Derived operations and congruences. Proc. London Math. Soc. (3), 8, (1958), 127-134. | MR | Zbl

[17] Timm J.: On regular algebras. Colloq. Math. Soc. János Bolyai, 17. Contributions to universal algebra, Szeged 1975, 503-514. | MR

[18] Werner H.: Produkte von Kongruenzklassengeometrien universeller Algebren. Math. Zeitschrift 121, (1971), 111-140. | MR | Zbl

[19] Werner H., Wille R.: Über den projektiven Abschluss von Äquivalenzklassengeometrien. Beiträge zur geometrischen Algebra, 345-352, Birkhäuser Verlag, Basel 1977. | MR | Zbl

[20] Wille R.: Kongruenzklassengeometrien. Lecture Notes in Mathematics, Vol. 113, Springer Verlag, Berlin, Heidelberg and New York 1970. | MR | Zbl