Some Characterizations of Intra-regular Abel-Grassmann Groupoids

Autor:	sup>Saima Anis, sup>Faizullah Faiz, sup>Madad Khan
Rok vydání:	2014
Předmět:	Discrete mathematics Class (set theory) General Computer Science Mathematics::General Mathematics Algebraic structure Fuzzy ideal General Engineering Semiprime ring Fuzzy logic Mathematics
Zdroj:	Scopus-Elsevier
ISSN:	2040-7467 2040-7459
DOI:	10.19026/rjaset.7.472
Popis:	In this study we introduce a new class of a non-associative algebraic structure namely intra-regular Abel Grassmann's groupoid (AG-groupoid in short). We apply generalized fuzzy ideal theory to this class and discuss its related properties. We introduce ) , ( k q ∨ ∈ ∈ -fuzzy semiprime ideals in AG-groupoids and characterize it. Specifically we have characterized intra-regular AG-groupoids in terms of left, bi and two sided ideals and ) , ( k q ∨ ∈ ∈ -fuzzy left, bi and two sided ideals. For support of our arguments we give examples of AG-groupoids. At the end we characterize intra-regular AG-groupoids using the properties of ) , ( k q ∨ ∈ ∈ -fuzzy semiprime ideals. , ( k q ∨ ∈ ∈ -fuzzy ideals and ) , ( k q ∨ ∈ ∈ -fuzzy bi-ideals, left invertive law, medial law, paramedial law
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::01b437d3ae41b0f7a61de99ecca1c513 https://doi.org/10.19026/rjaset.7.472 Zobrazit plný text záznamu