Abstract
In this paper, we present some characterizations of prime k-ideals andmaximal k-ideals of a semiring. Then we extend these properties toprime k-subsemimodules and maximal k-subsemimodules of a semimodule. After that, the correspondence between prime k-ideals andprime k-subsemimodules, and between maximal k-ideals and maximalk-subsemimodules are given.
Keywords
Mathematics
Prime (order theory)
Combinatorics
Prime ideal
Semiring
Discrete mathematics
Subject Areas
Fuzzy and Soft Set Theory
·Management Science and Operations Research ·Social Sciences
Educational Technology and Assessment
·Information Systems ·Physical Sciences
Innovative Teaching and Learning Methods
·Developmental and Educational Psychology ·Social Sciences
Citations by Year
2012: 1
2013: 2
2016: 1
2020: 1
2021: 1
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