dc.contributor.author |
Jantanan, Wichayaporn |
|
dc.contributor.author |
Simuen, Anusorn |
|
dc.contributor.author |
Yonthanthum, Winita |
|
dc.contributor.author |
Chinram, Ronnason |
|
dc.date.accessioned |
2021-09-13T10:25:34Z |
|
dc.date.available |
2021-09-13T10:25:34Z |
|
dc.date.issued |
2021 |
|
dc.identifier.uri |
http://dspace.bru.ac.th/xmlui/handle/123456789/7852 |
|
dc.description.abstract |
Ideal theory plays an important role in studying
in many algebraic structures, for example, rings, semigroups,
semirings, etc. The algebraic structure Γ-semigroup is a
generalization of the classical semigroup. Many results
in semigroups were extended to results in Γ-semigroups.
Many results in ideal theory of Γ-semigroups were widely
investigated. In this paper, we first focus to study some novel
ideals of Γ-semigroups. In Section 2, we define almost interior
Γ-ideals and weakly almost interior Γ-ideals of Γ-semigroups
by using the concept ideas of interior Γ-ideals and almost
Γ-ideals of Γ-semigroups. Every almost interior Γ-ideal of
a Γ-semigroup S is clearly a weakly almost interior Γ-ideal
of S but the converse is not true in general. The notions
of both almost interior Γ-ideals and weakly almost interior
Γ-ideals of Γ-semigroups are generalizations of the notion
of interior Γ-ideal of a Γ-semigroup S. We investigate basic
properties of both almost interior Γ-ideals and weakly almost
interior Γ-ideals of Γ-semigroups. The notion of fuzzy sets
was introduced by Zadeh in 1965. Fuzzy set is an extension
of the classical notion of sets. Fuzzy sets are somewhat like
sets whose elements have degrees of membership. In the
remainder of this paper, we focus on studying some novelties
of fuzzy ideals in Γ-semigroups. In Section 3, we introduce
fuzzy almost interior Γ-ideals and fuzzy weakly almost interior
Γ-ideals of Γ-semigroups. We investigate their properties.
Finally, we give some relationship between almost interior
Γ-ideals [weakly almost interior Γ-ideals] and fuzzy almost
interior Γ-ideals [fuzzy weakly almost interior Γ-ideals] of
Γ-semigroups. |
en_US |
dc.description.sponsorship |
ฺBoriram Rajabhat University |
en_US |
dc.publisher |
มหาวิทยาลัยราชภัฏบุรีรัมย์ |
en_US |
dc.subject |
Almost Interior Γ-ideals, Weakly Almost Interior Γ-ideals, Fuzzy Almost Γ-interior Ideals, Fuzzy Weakly Almost Interior Γ-ideals. |
en_US |
dc.title |
เเกมมาไอดีลเกือบภายใน เเละ เเกมมาไอดีลเกือบภายในฟัซซี่ในเเกมมากึ่งกรุป |
en_US |
dc.title.alternative |
Almost Interior Gamma-ideals and Fuzzy Almost Interior Gamma-ideals in Gamma-semigroups |
en_US |
dc.type |
Research |
en_US |