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.
Highlights
The notion of a ternary semiring was first introduced by T
They define the notion of a right ternary semimodule over a ternary semiring and Jacobson radical of a ternary semiring in [2]
Consider full k-ideals of a semiring and they prove that the set of all full k-ideals of a semiring is a complete lattice which is modular and they discussed several characterizations of k-ideals of a semiring
Summary
The notion of a ternary semiring was first introduced by T. They define the notion of a right ternary semimodule over a ternary semiring and Jacobson radical of a ternary semiring in [2]. R. Adhikari, consider full k-ideals of a semiring and they prove that the set of all full k-ideals of a semiring is a complete lattice which is modular and they discussed several characterizations of k-ideals of a semiring. The present paper extends some results of [3] to a ternary semirings
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Similar Papers
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.