GENERALIZATIONS OF PRIME TERNARY SUBSEMIMODULES OF TERNARY SEMIMODULES
Keywords:
almost prime submodule, subtractive ternary subsemimodule, partitioning ternary subsemimodule, weakly prime subsemimodule, quotient ternary semimoduleAbstract
Let R be a commutative semiring with 1 ≠ 0 and all semimodules are unital. Weakly prime ternary subsemimodules of ternary semimodules have been studied. In this paper we introduce the concept of almost prime ternary subsemimodule of a ternary semimodule over a ternary semiring as a new generalization of prime ternary subsemimodule. We will give some of its properties, characteristics and its relationship among other algebraic structures. Also we carry out this concept under multiplication ternary semimodules.
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Copyright (c) 2018 Malik Bataineh, Rashid Abu-Dawwas, Wurood Oteir
This work is licensed under a Creative Commons Attribution 4.0 International License.
L'opera è pubblicata sotto Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)
