<abstract xmlns="http://www.w3.org/1999/xhtml"><p> In this paper we introduce the notion of composition hyperring. We show that the composition structure of a composition hyperring is determined by a class of its strong multiendomorphisms. Finally, the three isomorphism theorems of ring theory are derived in the context of com- position hyperrings.</p></abstract>

In this paper we introduce the notion of composition hyperring. We show that the composition structure of a composition hyperring is determined by a class of its strong multiendomorphisms. Finally, the three isomorphism theorems of ring theory are derived in the context of com- position hyperrings.

Composition hyperrings

Centre for Systems and Information Technologies, University of Nova Gorica SI-5000, Vipavska 13, Nova Gorica, Slovenia

Department of Mathematics, Faculty of Natural Science and Mathematics, University of Montenegro, Dzordza Vasingtona bb, 81000 Podgorica, Montenegro

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

{"article-title":"Composition hyperrings"}

In this paper we introduce the notion of composition hyperring. We show that the composition structure of a composition hyperring is determined by a class of...

Composition hyperrings

Published Online: Sep 19, 2013

Page range: 81 - 94

DOI: https://doi.org/10.2478/auom-2013-0024

Keywords
Hyperring, Hyperideal, Multiendomorphism, Composition hyperoperation

This content is open access.

Composition hyperrings

Published Online: Sep 19, 2013

Page range: 81 - 94

DOI: https://doi.org/10.2478/auom-2013-0024

KeywordsHyperring, Hyperideal, Multiendomorphism, Composition hyperoperation

This content is open access.

Keywords
Hyperring, Hyperideal, Multiendomorphism, Composition hyperoperation