Title of article
Soft substructures of rings, fields and modules
Author/Authors
Ak?n Osman Atagüna، نويسنده , , ?، نويسنده , , Asl?han Sezgin b، نويسنده ,
Issue Information
دوماهنامه با شماره پیاپی سال 2011
Pages
10
From page
592
To page
601
Abstract
Soft set theory, proposed by Molodtsov, has been regarded as an effective mathematical
tool to deal with uncertainties. In this paper, we introduce and study soft subrings and soft
ideals of a ring by using Molodtsov’s definition of the soft sets. Moreover, we introduce soft
subfields of a field and soft submodule of a left R-module. Some related properties about
soft substructures of rings, fields and modules are investigated and illustrated by many
examples.
Keywords
Soft sets , Soft subrings of rings , Soft submodules of modules , Soft subfields of fields , Soft ideals of rings
Journal title
Computers and Mathematics with Applications
Serial Year
2011
Journal title
Computers and Mathematics with Applications
Record number
921847
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