? PRIME TERNARY SUBSEMIMODULES IN TERNARY SEMIMODULES

Jayprakash Ninu Chaudhari; Hemant Premraj Bendale

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? PRIME TERNARY SUBSEMIMODULES IN TERNARY SEMIMODULES

机译：？三元组中的主要三元子组

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Let be a ternary semimodule over a ternary semiring . We introduce the notion of prime ternary subsemimodule of which is a generalization of a prime subsemimodule introduced by Atani [1] and hence we extend the results of semimodules, ternary semirings and partial semimodules to ternary semimodules over ternary semirings. Prime ternary subsemimodules of a multiplication ternary semimodule over ternary semiring are characterized. Also we prove prime avoidance theorem for ternary semimodules over ternary semirings.

机译：设三元半环上的三元半模。我们引入素三元半模块的概念，该概念是Atani [1]引入的素三元模块的推广，因此我们将三模，三元半环和部分半模的结果扩展到三元半环上的三元半模。描述了三元半环上的乘法三元半模块的素三元子半模块。我们还证明了三元半环上三元半模的素数回避定理。

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《International Research Journal of Pure Algebra》 |2015年第1期|共页
作者
Jayprakash Ninu Chaudhari; Hemant Premraj Bendale;
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中图分类代数、数论、组合理论;
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? PRIME TERNARY SUBSEMIMODULES IN TERNARY SEMIMODULES

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