#### Journal or Publication Title:

Armenian Journal of Mathematics=Հայկական մաթեմատիկական հանդես

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#### Additional Information:

Electronic Open Access Publication of the National Academy of Sciences of Armenia

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#### Creator:

Kumar Sardar Sujit ; Chandra Saha Bibhas

#### Subject:

Associative rings and algebras ; Group theory and generalizations

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#### Abstract:

n this paper we show that h-prime and h-semiprime ideals in a Nobusawa $\Gamma$-semiring are preserved by the functions $^{*'}(~)$, $^{+'}(~)$, $^{*}(~)$, $^{+}(~)$, $\Gamma (~)$ and S( ). This preservation property is then used to characterize h-prime and h-semiprime ideals in matrix semiring $\left(\begin{array}{ll} R & \Gamma \\ S & L \end{array} \right)$. Moreover, characterization theorems of h-regular and H-Noetherian $\Gamma-$semirings have been obtained.

#### Publisher:

National Academy of Sciences of Armenia