Equimorphy in varieties of distributive double $p$-algebras

Title:

Equimorphy in varieties of distributive double $p$-algebras

Creator:

Koubek, Václav and Sichler, Jiří

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:2a30ea98-1474-4926-9a17-94b9d56cfa82
uuid:2a30ea98-1474-4926-9a17-94b9d56cfa82

Subject:

distributive double $p$-algebra, variety, endomorphism monoid, equimorphy, and categorical universality

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

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.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

473-544

Source:

Czechoslovak Mathematical Journal | 1998 Volume:48 | Number:3

Harvested from:

CDK

Metadata only:

false