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Equimorphy in varieties of distributive double p-algebras (1998)

Koubek, V. ; Sichler, J.

Springer

Czechoslovak mathematical journal 48 (1998), S. 473-544

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ISSN: 1572-9141

Keywords: distributive double p-algebra ; variety ; endomorphism monoid ; equimorphy ; categorical universality

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Abstract Any finitely generated regular variety V of distributive double p-algebras is finitely determined, meaning that for some finite cardinal n(V), any subclass S $$ \subseteq $$ V of algebras with isomorphic endomorphism monoids has fewer than n(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.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1023/A:1022479828440

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