A note on composition (m, n)-hyperrings-Reference-Cited by-同舟云学术

A note on composition (m, n)-hyperrings

Published:2017-07-26 Issue:2 Volume:25 Page:101-122
ISSN:1844-0835
Container-title:Analele Universitatii "Ovidius" Constanta - Seria Matematica
language:en
Short-container-title:

Author:

Norouzi Morteza¹,Cristea Irina²

Affiliation:

1. Department of Mathematics, Faculty of Basic Sciences, University of Bojnord, Bojnord , Iran

2. Center for Systems and Information Technologies, University of Nova Gorica, Nova Gorica , Slovenia

Abstract

Abstract Based on the concepts of composition ring and composition hyper- ring, in this note we introduce the notion of composition structure for (m, n)-hyperrings and study the connections with composition hy- perrings. Moreover we show that particular strong endomorphisms of (m, n)-hyperrings can determine the composition structure of a such (m, n)-hyperrings. Finally, the three isomorphism theorems are pre- sented in the case of composition (m, n)-hyperrings, showing that they are not a pure extension of those for composition hyperrings.

Publisher

Walter de Gruyter GmbH

Reference23 articles.

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2. [2] R. Ameri, M. Norouzi, Prime and primary hyperideals in Krasner (m; n)- hyperrings, European J. Combin., 34 (2013) 379-390.

3. [3] P. Corsini, Prolegomena of Hypergroup Theory, Aviani Editore, (1993).

4. [4] P. Corsini, V. Leoreanu, Applications of hyperstructure theory, Advances in Mathematics, vol. 5, Kluwer Academic Publisher, (2003).

5. [5] G. Crombez, On (m; n)-rings, Abh. Math. Sem. Univ. Hamburg, 37 (1972) 180-199.

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