TERNARY PARTIAL SEMIRINGS
نویسندگان
چکیده
منابع مشابه
Soft 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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A Conway semiring is a semiring S equipped with a unary operation * : S → S, always called 'star', satisfying the sum star and product star identities. It is known that these identities imply a Kleene type theorem. Some computationally important semirings, such as N or N rat Σ * of rational power series of words on Σ with coefficients in N, cannot have a total star operation satisfying the Conw...
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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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In continuation of a previous works on semirings [5], in the present paper we introduce the notions of a strong ternary semiring (ST-semiring) (that is a ternary semirings with an additional condition called the left invertive law). We prove that many results obtained in [5] for semirings are still valid in the present case. We establish some relationships between the idempotents for both the a...
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ژورنال
عنوان ژورنال: International Journal of Pure and Apllied Mathematics
سال: 2016
ISSN: 1311-8080,1314-3395
DOI: 10.12732/ijpam.v111i1.5