On Prime bi-k-Ideals of a Ternary Semiring

2018 ◽  
Vol 5 (1) ◽  
pp. 23-28
Author(s):  
Swapnil Wani ◽  
Kishor Pawar
Keyword(s):  
Ternary Semiring

scholarly journals On Full k-ideals of a Ternary Semiring

2016 ◽  
Vol 12 (1) ◽  
pp. 5805-5807
Author(s):  
Swapnil Wani ◽  
Kishor Pawar
Keyword(s):  
Complete Lattice ◽  
Jacobson Radical ◽  
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.

scholarly journals On the Jacobson Radical of an (m,n)-Semiring

Algebra ◽  
2013 ◽  
Vol 2013 ◽  
pp. 1-9
Author(s):  
Yongwen Zhu
Keyword(s):  
Jacobson Radical ◽  
Ternary Semiring

The notion of n-ary semimodules is introduced so that the Jacobson radical of an (m,n)-semiring is studied and some well-known results concerning the Jacobson radical of a ring (a semiring or a ternary semiring) are generalized to an (m,n)-semiring.

Properties of k-hybrid ideals in ternary semiring

2022 ◽  
pp. 1-9
Author(s):  
G. Muhiuddin ◽  
J. Catherine Grace John ◽  
B. Elavarasan ◽  
K. Porselvi ◽  
D. Al-Kadi
Keyword(s):  
Characteristic Function ◽  
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.

scholarly journals Radikal Prima Bi-Ideal Dalam Semiring Ternari

2019 ◽  
Vol 9 (2) ◽  
pp. 78
Author(s):  
Ratna Sari Widiastuti
Keyword(s):  
Commutative Semigroup ◽  
Ternary Semiring

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.

scholarly journals A STUDY ON POLYNOMIAL TERNARY SEMI RING

2015 ◽  
Vol 3 (8) ◽  
pp. 99-104
Author(s):  
T. Srinivasa Rao ◽  
D. Madhusudana Rao ◽  
B. Srinivasa Kumar
Keyword(s):  
Ternary Semiring

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

scholarly journals Completely P-regular ternary semiring

2020 ◽  
Vol 8 (4) ◽  
pp. 1509-1513
Author(s):  
Manivasan S. ◽  
Parvathi S.
Keyword(s):  
Ternary Semiring

On Essential Ideals of a Ternary Semiring

2017 ◽  
Vol 4 (3) ◽  
pp. 65-68
Author(s):  
Swapnil Wani ◽  
Kishor Pawar
Keyword(s):  
Ternary Semiring

scholarly journals On quasi-ideals and bi-ideals in ternary semirings

2005 ◽  
Vol 2005 (18) ◽  
pp. 3015-3023 ◽  
Author(s):  
S. Kar
Keyword(s):  
Ternary Semiring

We introduce the notions of quasi-ideal and bi-ideal in ternary semirings and study some properties of these two ideals. We also characterize regular ternary semiring in terms of these two subsystems of ternary semirings.

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