IJPAM: Volume 106, No. 2 (2016)

ON 2-ABSORBING $\delta$-PRIMARY
GAMMA-IDEAL OF GAMMA RING

Mohamed Youssfi Elkettani$^1$, Abdulbakee Kasem$^2$
$^{1,2}$Department of Mathematics Faculty of Sciences
University Ibn Tofail
B.P 242, Kenitra, MOROCCO


Abstract. In this paper, the notion of $2$-absorbing $\delta$-primary $\Gamma$-ideal of $\Gamma$-ring is introduced which unify $2$-absorbing $\Gamma$-ideal and $2$-absorbing $\delta$-primary $\Gamma$-ideal , and several properties are investigated. Here $\delta$ is a mapping that assigns to each $\Gamma$-ideal $J$ a $\Gamma$-ideal $\delta(J)$ of the same $\Gamma$-ring such that:(1) $(\forall I \in \mathfrak{J}(M))(I \subseteq \delta(I))$,(2) $(\forall I,J \in \mathfrak{J}(M)))(I \subseteq J \Rightarrow \delta(I) \subseteq \delta(J))$, where $\mathfrak{J}(M)$ is the set of $\Gamma$-ideal of $\Gamma$-ring $M$.

Received: November 5, 2015

AMS Subject Classification: 13A15

Key Words and Phrases: $\Gamma$-ideal, intersection preserving, global $\Gamma$-ideal expansion, $\Gamma$-ring homomorphism, 2-absorbing $\delta$-primary

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DOI: 10.12732/ijpam.v106i2.17 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2016
Volume: 106
Issue: 2
Pages: 543 - 550


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