\(\mathcal N\)-structures applied to closed ideals in BCH-algebras
type: Item
instance of: scholarly article
title: \(\mathcal N\)-structures applied to closed ideals in BCH-algebras
zbMATH Open document ID: 1186.06011
DOI: 10.1155/2010/943565
author: Mehmet Ali Öztürk
author: Young Bae Jun
author: Eun Hwan Roh
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2010-04-20T00:00:00Z
full work available at URL: https://eudml.org/doc/229332
review text: Summary: The notions of \(\mathcal N\)-subalgebras and \(\mathcal N\)-closed ideals in BCH-algebras are introduced, and the relation between \(\mathcal N\)-subalgebras and \(\mathcal N\)-closed ideals is considered. Characterizations of \(\mathcal N\)-subalgebras and \(\mathcal N\)-closed ideals are provided. Using special subsets, \(\mathcal N\)-subalgebras and \(\mathcal N\)-closed ideals are constructed. A condition for an \(\mathcal N\)-subalgebra to be an \(\mathcal N\)-closed ideal is discussed. Given an \(\mathcal N\)-structure, the greatest \(\mathcal N\)-closed ideal which is contained in the \(\mathcal N\)-structure is established.
Mathematics Subject Classification ID: 06F35
zbMATH DE Number: 5695268
MaRDI profile type: Publication
OpenAlex ID: W1558143288
Wikidata QID: Q58651475
cites work: Q3701423
cites work: Q3708025
cites work: Q3353076
cites work: Q3211372
cites work: Q4359085
cites work: Q3360228
cites work: Q4472850
cites work: Q5696566
DBLP publication ID: journals/ijmmsc/JunOR10
description: scientific article; zbMATH DE number 5695268