Title of article
Fuzzy semistar operations on integral domains
Author/Authors
Heubo-Kwegna، نويسنده , , Olivier A.، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2013
Pages
10
From page
117
To page
126
Abstract
In this paper, we introduce the notion of fuzzy semistar operation on an integral domain and relate it to the existing notion of fuzzy star operation. We show that the set of all fuzzy semistar operations on the integral domain is a complete lattice. We also characterize when an overring of a domain is a Prüfer domain and when an overring is a flat module over the domain in terms of a fuzzy semistar operation.
Keywords
Fuzzy submodule , Fractionary fuzzy ideal , Fuzzy star operation , Fuzzy Semistar operation , Flat-module , Prüfer domain
Journal title
FUZZY SETS AND SYSTEMS
Serial Year
2013
Journal title
FUZZY SETS AND SYSTEMS
Record number
1601605
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