NeutroAlgebra of Idempotents in Group Rings

Autor:	Vasantha Kandasamy, Ilanthenral Kandasamy
Jazyk:	angličtina
Rok vydání:	2022
Předmět:	symmetric group neutroalgebra antialgebra group ring neutrosubalgebra partial algebra Mathematics QA1-939 Electronic computers. Computer science QA75.5-76.95
Zdroj:	Neutrosophic Sets and Systems, Vol 50, Pp 156-177 (2022)
Druh dokumentu:	article
ISSN:	2331-6055 2331-608X
DOI:	10.5281/zenodo.6774690
Popis:	In this paper, the authors study the new concept of NeutroAlgebra of idempotents in group rings. It is assumed that RG is the group ring of a group G over the ring R. R should be a commutative ring with unit 1. G can be a finite or an infinite order group which can be commutative or non-commutative. We obtain conditions under which the idempotents of the group rings ZG, ZnG, and QG form a NeutroAlgebra under the operations + or ×. Some collection of idempotents in these group rings form an AntiAlgebra. We propose some open problems which has resulted from this study.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/12338dc0baa545edbb085f5e52101342 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF