The structure of completely meet irreducible congruences in strongly Fregean algebras

نویسندگان

چکیده

A strongly Fregean algebra is an such that the class of its homomorphic images and variety generated by this congruence modular. To understand structure these algebras we study prime intervals projectivity relation in posets their completely meet irreducible congruences show cosets have natural a Boolean group. In particular, approach allows us to represent elements as subsets upward closed with some special properties.

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ژورنال

عنوان ژورنال: Algebra Universalis

سال: 2022

ISSN: ['0002-5240', '1420-8911']

DOI: https://doi.org/10.1007/s00012-022-00787-0