Regularity of algebras with applications to congruence class geometry

Jaromír Duda

Archivum Mathematicum (1983)

  • Volume: 019, Issue: 4, page 199-208
  • ISSN: 0044-8753

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Duda, Jaromír. "Regularity of algebras with applications to congruence class geometry." Archivum Mathematicum 019.4 (1983): 199-208. <http://eudml.org/doc/18120>.

@article{Duda1983,
author = {Duda, Jaromír},
journal = {Archivum Mathematicum},
keywords = {regular congruences; finitely generated congruences; congruence class geometry; regular algebras; Csákány conditions; subregular algebras},
language = {eng},
number = {4},
pages = {199-208},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Regularity of algebras with applications to congruence class geometry},
url = {http://eudml.org/doc/18120},
volume = {019},
year = {1983},
}

TY - JOUR
AU - Duda, Jaromír
TI - Regularity of algebras with applications to congruence class geometry
JO - Archivum Mathematicum
PY - 1983
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 019
IS - 4
SP - 199
EP - 208
LA - eng
KW - regular congruences; finitely generated congruences; congruence class geometry; regular algebras; Csákány conditions; subregular algebras
UR - http://eudml.org/doc/18120
ER -

References

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  1. Cһajda I., Regularity and permutability of congruences, Algеbra Univ. 11 (1980), 159-162 (1980) MR0588209
  2. Csákány B., Characterization of regular varieties, Acta Sci. Math. (Szeged) 31 (1970), 187-189 (1970) MR0272697
  3. Сsákány B., Congruences and subalgebras, Ann. Univ. Sci. Budapеst, Sеct. Math. 18 (1975) 37-44. (1975) MR0414462
  4. Duda J., Quotient algebras of implicative semilattices, Glasnik Matеmatički (Zagrеb) 15 (1980), 251-257. (1980) Zbl0454.06002MR0608874
  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. (1983) MR0719774
  7. Fichtnег K., Varieties of universal algebras with ideals, (in Russian), Mat. Sbornik, 75 (117) (1968), 445-453. (1968) MR0222001
  8. Gгätzеr G., Universal Algebra, Sеcond Expandеd Edition, Springеr Vеrlag, Nеw York, Bеrlin, Hеidеlbеrg, 1979. (1979) MR0538623
  9. Grätzer G., Two Maľcev-type theorems in universal algebra, J. Comb. Theory 8 (1970), 334-342. (1970) MR0279022
  10. Hagemann J., On regular and weakly regular congruences, Preprint Nr. 75, TH-Darmstadt, 1973. (1973) 
  11. Maľcev A. I., On the general theory of algebraic systems, (in Russian), Mat. Sbornik, N. S. 35 (77) (1954), 3-20. (1954) MR0065533
  12. Nemitz W. C, Implicative semi-lattices, Trans. Amer. Math. Soc. 117, (1965), 128-142. (1965) Zbl0128.24804MR0176944
  13. Pasini A., Affine coordinatization of incidence spaces by universal algebras, Matematiche (Catania) 30, (1975), 78-93 (1975) Zbl0347.08001MR0430945
  14. Pasini A., On the incidence algebras, Preprint 1978. (1978) MR0644609
  15. Pasini A., On the finite transitive incidence algebras, Bolletino U. M. I. 17, (1980), 373-389. (1980) Zbl0437.20031MR0572608
  16. Thurston H. A., Derived operations and congruences, Proc. London Math. Soc. (3), 8, (1958), 127-134. (1958) Zbl0078.01901MR0091924
  17. Timm J., On regular algebras, Colloq. Math. Soc. János Bolyai, 17. Contributions to universal algebra, Szeged 1975, 503-514. (1975) MR0491418
  18. Werner H., Produkte von Kongruenzklassengeometrien universeller Algebren, Math. Zeitschrift 121, (1971), 111-140. (1971) Zbl0203.22902MR0281681
  19. Werner H., Wille R., Über den projektiven Abschluss von Äquivalenzklassengeometrien, Beiträge zur geometrischen Algebra, 345-352, Birkhäuser Verlag, Basel 1977. (1977) Zbl0386.51003MR0552769
  20. Wille R., Kongruenzklassengeometrien, Lecture Notes in Mathematics, Vol. 113, Springer Verlag, Berlin, Heidelberg and New York 1970. (1970) Zbl0191.51403MR0262149

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