Ideal Theory in Semigroups Based on Intersectional Soft Sets

Title
Ideal Theory in Semigroups Based on Intersectional Soft Sets
Author
김희식
Keywords
INT DECISION-MAKING; BCK/BCI-ALGEBRAS
Issue Date
2014-06
Publisher
HINDAWI PUBLISHING CORPORATION, 410 PARK AVENUE, 15TH FLOOR, #287 PMB, NEW YORK, NY 10022 USA
Citation
SCIENTIFIC WORLD JOURNAL, 2014 ,p 7
Abstract
The notions of int-soft semigroups and int-soft left (resp., right) ideals are introduced, and several properties are investigated. Using these notions and the notion of inclusive set, characterizations of subsemigroups and left (resp., right) ideals are considered. Using the notion of int-soft products, characterizations of int-soft semigroups and int-soft left (resp., right) ideals are discussed. We prove that the soft intersection of int-soft left (resp., right) ideals (resp., int-soft semigroups) is also int-soft left (resp., right) ideals (resp., int-soft semigroups). The concept of int-soft quasi-ideals is also introduced, and characterization of a regular semigroup is discussed.
URI
https://www.hindawi.com/journals/tswj/2014/136424/http://hdl.handle.net/20.500.11754/47244
ISSN
1537-744X; 2356-6140
DOI
10.1155/2014/136424
Appears in Collections:
COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles
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