Equimorphy in varieties of distributive double $p$-algebras

Koubek, Václav, and Sichler, Jiří. "Equimorphy in varieties of distributive double $p$-algebras." Czechoslovak Mathematical Journal 48.3 (1998): 473-544. <http://eudml.org/doc/30435>.

@article{Koubek1998,
abstract = {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.},
author = {Koubek, Václav, Sichler, Jiří},
journal = {Czechoslovak Mathematical Journal},
keywords = {distributive double $p$-algebra; variety; endomorphism monoid; equimorphy; categorical universality; distributive double -algebra; finitely determined variety; endomorphism monoid; equimorphy; categorical universality},
language = {eng},
number = {3},
pages = {473-544},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Equimorphy in varieties of distributive double $p$-algebras},
url = {http://eudml.org/doc/30435},
volume = {48},
year = {1998},
}

TY - JOUR
AU - Koubek, Václav
AU - Sichler, Jiří
TI - Equimorphy in varieties of distributive double $p$-algebras
JO - Czechoslovak Mathematical Journal
PY - 1998
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 48
IS - 3
SP - 473
EP - 544
AB - 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.
LA - eng
KW - distributive double $p$-algebra; variety; endomorphism monoid; equimorphy; categorical universality; distributive double -algebra; finitely determined variety; endomorphism monoid; equimorphy; categorical universality
UR - http://eudml.org/doc/30435
ER -