Finitely generated equational classes

Injectives in Finitely Generated Universal Horn Classes

Let K be a finite set of finite structures. We give a syntactic characterization of the property: every element of K is invective in ISP(K). We use this result to establish that 4 is invective in ISP(s) for every two-element algebra i. ?0. Introduction. Let K be a finite set of finite structures for a first-order language. In this paper we give a syntactic characterization (Theorem 4) of the pr...

Tests for injectivity in finitely generated universal Horn classes

Counting for conjugacy classes of subgroups in finitely generated group ∗

A new general formula for calculation of number of conjugacy classes of subgroups of given index in a finitely generated group is obtained.

Ring With All Finitely Generated Modules Retractable

FUZZY EQUATIONAL CLASSES ARE FUZZY VARIETIES

In the framework of fuzzy algebras with fuzzy equalities and acomplete lattice as a structure of membership values, we investigate fuzzyequational classes. They consist of special fuzzy algebras fullling the samefuzzy identities, dened with respect to fuzzy equalities. We introduce basicnotions and the corresponding operators of universal algebra: construction offuzzy subalgebras, homomorphisms...