This article is cited in 12 papers

Inner Homomorphisms and Positive-Conditional Terms

A. G. Pinus


Abstract: We establish the criterion for two finite or uniformly locally finite algebras of a finite signature to be positive-conditionally rational equivalent (in terms of semigroups of inner homomorphisms of these algebras) and the criterion for two finite algebras to be strongly similar (in terms of expanded semigroups of inner homomorphisms of those algebras).

Keywords: finite algebra, uniformly locally finite algebra, positive-conditionally rational equivalent algebras, strongly similar algebras.

UDC: 512.57:512.565.7

Received: 24.02.1999

 English version: Algebra and Logic, 2001, 40:2, 87–95

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