On Full k-ideals of a Ternary Semiring

Swapnil Wani; Kishor Pawar

doi:10.24297/jam.v12i1.590

On Full k-ideals of a Ternary Semiring

Authors

Swapnil Wani University Institute of Chemical Technology, North Maharashtra University, Jalgaon - 425 001, India.
Kishor Pawar Department of Mathematics, School of Mathematical Sciences, North Maharashtra University, Jalgaon - 425 001, India.

DOI:

https://doi.org/10.24297/jam.v12i1.590

Keywords:

Ternary Semiring, ideal, full k-ideal, etc.

Abstract

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.

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Published

2016-02-18

How to Cite

Wani, S., & Pawar, K. (2016). On Full k-ideals of a Ternary Semiring. JOURNAL OF ADVANCES IN MATHEMATICS, 12(1), 5805–5807. https://doi.org/10.24297/jam.v12i1.590