Directly Indecomposible Multialgebras-Reference-Cited by-同舟云学术

Directly Indecomposible Multialgebras

Published:2023-10-06 Issue: Volume:3 Page:58-66
ISSN:2732-9941
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language:en
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Author:

Davodian Mahsa¹,Asghari-Larimi Mohsen¹,Ameri Reza²

Affiliation:

1. Department of Mathematics, University of Golestan, Gorgan, IRAN

2. Department of Mathematics, Faculty of Basic Science, University of Tehran, IRAN

Abstract

The aim of this paper is the study directly indecomposible multialgebras. In this regards, first the isomorphism theorems and correspondence theorem for multialgebras. Then by applying congruences relation on multialgebras factor multialgebras are constructed and some important properties of them are obtained. In particular, it is shown that every finite multialgebra is isomorphic to a direct products of directly indecomposable of multialgebras. Finally, subdirect products and subdirect irreducible of multialgebras are investigated and Birkoff’s theorem is extended to multialgebras.

Publisher

World Scientific and Engineering Academy and Society (WSEAS)

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