Equimorphy in varieties of distributive double $p$-algebras
Czechoslovak Mathematical Journal, Tome 48 (1998) no. 3, pp. 473-544
Voir la notice de l'article provenant de la source Czech Digital Mathematics Library
Any finitely generated regular variety $\mathbb{V}$ of distributive double $p$-algebras is finitely determined, meaning that for some finite cardinal $n(\mathbb{V})$, any subclass $S\subseteq \mathbb{V}$ of algebras with isomorphic endomorphism monoids has fewer than $n(\mathbb{V})$ pairwise non-isomorphic members. This result follows from our structural characterization of those finitely generated almost regular varieties which are finitely determined. We conjecture that any finitely generated, finitely determined variety of distributive double $p$-algebras must be almost regular.
Classification :
06D15, 06E15, 08A35, 08B99, 18B15, 54F05
Keywords: distributive double $p$-algebra; variety; endomorphism monoid; equimorphy; categorical universality
Keywords: distributive double $p$-algebra; variety; endomorphism monoid; equimorphy; categorical universality
@article{CMJ_1998__48_3_a8,
author = {Koubek, V. and Sichler, J.},
title = {Equimorphy in varieties of distributive double $p$-algebras},
journal = {Czechoslovak Mathematical Journal},
pages = {473--544},
publisher = {mathdoc},
volume = {48},
number = {3},
year = {1998},
mrnumber = {1637938},
zbl = {0952.06013},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMJ_1998__48_3_a8/}
}
Koubek, V.; Sichler, J. Equimorphy in varieties of distributive double $p$-algebras. Czechoslovak Mathematical Journal, Tome 48 (1998) no. 3, pp. 473-544. http://geodesic.mathdoc.fr/item/CMJ_1998__48_3_a8/