Properties of k-hybrid ideals in ternary semiring

The notions of hybrid ideals and k-hybrid ideals in a ternary semiring are introduced in this paper, and a substantial amount of effort has been made to study some of their features. In terms of characteristic function, we show some properties of k-hybrid ideals and give some characterizations of hybrid intersection with respect to these k-hybrid ideals. Finally, results based on a k-hybrid ideal’s homomorphic hybrid preimage are provided. With respect to k-hybrid ideals, we give certain characterizations of hybrid intersection.

Radikal Prima Bi-Ideal Dalam Semiring Ternari

A ternary semiring is an additive commutative semigroup with a ternary multiplication which satisfying some condition. This paper will be discuss about prime bi-ideal radikal in semiring ternary with definition and some theorem. If B is a bi-ideal in semiring ternary T, then radical prime bi-ideal of B in semiring ternary T is an intersection of all prime bi-ideal in semiring ternary T which containing B.

Fuzzy Soft Ternary Γ-Semirings-II

In this paper we are introducing the notions of “fuzzy soft quasi T  -ideal(FSQTΓI), Fuzzy soft bi-T  - ideal(FSBTΓI)” are introduced. It is proved that (1) A “fuzzy soft set (q,P1, ) over a ternary Γ-semiring(TΓ-SR)”T is a FSQTΓI over T iff  a  P1, q(a)   is a “quasi-ideal of T”. (2) Every “Fuzzy soft left (right, lateral) T  - ideal[FSLTΓI(FSMTΓI, FSRTΓI)] over a TΓ-SR T is a FSQTΓI over T”: (3)Every “FSQTΓI is a fuzzy soft T  -SR over T”: (4) Let “(r,A,  ), (l,B,  ) and (m,C,  ) be FSLTΓI, FSMTΓI, FSRTΓI over T”, respectively. Then “(r,A,  )  (l,B,  )  (m,C,  ) is a FSQTΓI over T”. (5) Let “(f,A,  ) be a FSQTΓI and (g,B,  ) a Fuzzy soft ternary  - semiring(FSTΓSR) over T”. Then “(f,A,  ) R I (g, B,  ) is a FSQTΓI of (g, B,  )”. (6) Let “(f,A  ) and (g, B,  ) be two non-empty fuzzy soft sets over a TΓ-SR T”.Then the “fuzzy soft set (h, C,  ) = (f, A  )o(T, E,  ) o(g, B,  ) is a FSBTΓI over T”. Further many more properties are proved and some examples are given.

On Full k-ideals of a Ternary Semiring

In this paper, we generalize the concept of the full -ideals of a semiring to ternary semiring and prove that the set of zeroids annihilator of a right ternary semimodule, and the Jacobson radical of a ternary semiring are all full -ideals of. Also we prove that the set of all full -ideals of a ternary semiring is a complete lattice which is also modular.

A STUDY ON POLYNOMIAL TERNARY SEMI RING

In this paper we discussed about the polynomial ternary semiring and characterized them.