On Partitioning and Subtractive Ideals of Ternary Semirings
نویسندگان
چکیده
منابع مشابه
On quasi-ideals and bi-ideals in ternary semirings
Good and Hughes [9] introduced the notion of bi-ideal and Steinfeld [11, 12] introduced the notion of quasi-ideal. Sioson [10] studied some properties of quasi-ideals of ternary semigroups. In [1], Dixit and Dewan studied about the quasi-ideals and bi-ideals of ternary semigroups. Quasi-ideals are generalization of right ideals, lateral ideals, and left ideals whereas bi-ideals are generalizati...
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متن کاملSoft Intersectional Ideals in Ternary Semirings
a Department of Mathematics and Statistics, International Islamic University Islamabad, Pakistan. b Department of Mathematics, Riphah International University Islamabad, Pakistan. Corresponding Author's Email: [email protected] ABSTRACT: In this paper, we introduce the notions of soft intersectional ternary subsemirings and soft intersectional ideals in ternary semirings. We also discuss ...
متن کاملGeneralized Semi-ideals in Ternary Semirings
We introduce the notion of a generalized semi-ideal in a ternary semiring. Various examples to establish a relationship between ideals, bi-ideals, quasi-ideals and generalized semi-ideals are furnished. A criterion for a commutative ternary semiring without any divisors of zero to a ternary division semiring is given. AMS Mathematics Subject Classification (2010): 16Y60, 16Y99
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Abstract. The interval-valued prime fuzzy ideals (in brevity, the iv. prime fuzzy ideals) of a semigroup have been recently studied by Kar, Sarkar and Shum [18]. As a continued study of i-v fuzzy ideals, we are going to investigate the properties of i-v fuzzy quasi-ideal and i-v fuzzy bi-ideal of a semiring and then we characterize the regularity and intra-regularity of a semiring in terms of t...
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ژورنال
عنوان ژورنال: Kyungpook mathematical journal
سال: 2011
ISSN: 1225-6951
DOI: 10.5666/kmj.2011.51.1.069