A new approach to LA-semigroup theory via the soft sets

被引:18
|
作者
Sezer, Aslihan Sezgin [1 ]
机构
[1] Amasya Univ, Dept Math, TR-05100 Amasya, Turkey
关键词
Soft set; soft intersection left (right; two-sided; interior; quasi); ideal; soft intersection (generalized)-bi ideal; HEMIRINGS; IDEALS;
D O I
10.3233/IFS-130918
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
In this paper, soft intersection LA-semigroups, soft intersection left (right, two-sided) ideals, (generalized) bi-ideals, interior ideals, quasi-ideals in LA-semigroups are defined, their examples and properties are given and their interrelations are obtained.
引用
收藏
页码:2483 / 2495
页数:13
相关论文
共 50 条
  • [21] Characterizations of numerical semigroup complements via Apery sets
    Gassert, T. Alden
    Shor, Caleb McKinley
    SEMIGROUP FORUM, 2019, 98 (01) : 31 - 47
  • [22] A NEW NOTION IN THE THEORY OF SEMIGROUP
    GROSEK, O
    SATKO, L
    SEMIGROUP FORUM, 1980, 20 (03) : 233 - 240
  • [23] New approach of soft M-open sets in soft topological spaces
    Alzahran, Samirah
    EL-Maghrabi, A. I.
    AL-Juhani, M. A.
    Badr, M. S.
    JOURNAL OF KING SAUD UNIVERSITY SCIENCE, 2023, 35 (01)
  • [24] A New Approach to Operations on Neutrosophic Soft Sets and to Neutrosophic Soft Topological Spaces
    Ozturk, Taha Yasin
    Aras, Cigdem Gunduz
    Bayramov, Sadi
    COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS, 2019, 10 (03): : 481 - 493
  • [25] A SEMIGROUP APPROACH TO THE JUSTIFICATION OF KINETIC THEORY
    Matthies, Karsten
    Theil, Florian
    SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2012, 44 (06) : 4345 - 4379
  • [26] GROUP-THEORY VIA GLOBAL SEMIGROUP THEORY
    BIRGET, JC
    RHODES, J
    JOURNAL OF ALGEBRA, 1989, 120 (02) : 284 - 300
  • [27] Soft Intersection Interior Ideals, Quasi-ideals and Generalized Bi-Ideals; A New Approach to Semigroup Theory II
    Sezer, Aslihan Sezgin
    Cagman, Naim
    Atagun, Akin Osman
    JOURNAL OF MULTIPLE-VALUED LOGIC AND SOFT COMPUTING, 2014, 23 (1-2) : 161 - 207
  • [28] A new approach for soft topology and soft function via soft element
    Taskopr, Kemal
    Altintas, Ismet
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 44 (09) : 7556 - 7570
  • [29] Single Valued Neutrosophic Soft Approach to Rough Sets, Theory and Application
    Marei, Emad
    NEUTROSOPHIC SETS AND SYSTEMS, 2018, 20 : 76 - 85
  • [30] A completely new approach for the theory of Soft Groups and Soft Rings
    Yaylali, Gozde
    Polat, Nazan Cakmak
    Tanay, Bekir
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2019, 36 (03) : 2963 - 2972