Semiregularity of congruences implies congruence modularity at 0

Author: Chajda I.1

Source: Czechoslovak Mathematical Journal, Volume 52, Number 2, June 2002 , pp. 333-336(4)

Publisher: Springer

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Abstract:

We introduce a weakened form of regularity, the so called semiregularity, and we show that if every diagonal subalgebra of \mathscr A \times \mathscr A is semiregular then \mathscr A is congruence modular at 0.

Keywords: regularity; modularity; semiregularity; modularity at 0

Language: English

Document Type: Research article

Affiliations: 1: Dept. of Algebra and Geometry, Palacký University Olomouc, Tomkova 40, 779 00 Olomouc, Czech Republic, chajda@risc.upol.cz

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