Please use this identifier to cite or link to this item: https://open.uns.ac.rs/handle/123456789/25720
Title: Power algebras and generalized quotient algebras
Authors: Bošnjak Ivica 
Madarász Rozália 
Issue Date: 2001
Journal: Algebra Universalis
Abstract: The notion of a good quotient relation has been introduced as an attempt to generalize the notion of a quotient algebra to relations on an algebra which are not necessarily congruences. In order to make it possible to prove generalized versions of "power isomorphism theorems", the more restrictive notions of very good, Hoare good and Smyth good relation have been introduced. In this paper we describe the relationships between Hoare good, Smyth good and very good relations. As a consequence, we prove that every structure preserving relation on an algebra is very good.
URI: https://open.uns.ac.rs/handle/123456789/25720
ISSN: 0002-5240
1420-8911
DOI: 10.1007/s00012-001-8160-1
Appears in Collections:PMF Publikacije/Publications

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