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Taking Prime, Maximal and Two--class Congruences Through Morphisms

2016/07/23 by Claudia Mureșan, Mureşan, Claudia · 1 citation
Computer Science · Decision Sciences · #08A30 #Advanced Algebra and Logic #FOS: Mathematics #Fuzzy and Soft Set Theory #Rings and Algebras (math.RA) #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.1607.06901

openalex publication_date 2016/07/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

In this paper we study prime, maximal and two--class congruences from the point of view of the relationships between them in various kinds of universal algebras, as well as their direct and inverse images through morphisms. This research has also produced a set of interesting results concerning the prime and the maximal congruences of several kinds of lattices.

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