Hyperrings and α*-relations. A general approach

JOURNAL OF ALGEBRA

卷:383

Article

Pelea, Cosmin

关键词: Multialgebra;    Factor multialgebra;    Identity;    Fundamental relation;    Subdistributivity;    Hyperring;    Krasner hyperring;    (m, n)-hyperring;   

DOI  :  10.1016/j.jalgebra.2013.02.025

来源: Elsevier

【 摘 要 】

The study of the equivalence relations of particular multialgebras for which the factor multialgebras are universal algebras satisfying certain identities is a very important and intensively studied topic in multialgebra theory and not only. Our paper provides a general multialgebraic approach for the construction of all these relations and also some important and interesting properties concerning the construction of the corresponding factor universal algebra. One of the purposes of our approach is to improve some results concerning alpha*-relations of hyperrings and Krasner hyperrings and we will do this in the last sections of this paper. (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

Free