**Volume 10 (2022-2023)**

**Volume 9 (2021-2022)**

**Volume 8 (2020-2021)**

**Volume 7 (2019-2020)**

**Volume 6 (2018-2019)**

**Volume 5 (2017-2018)**

**Volume 4 (2016-2017)**

**Volume 3 (2015-2016)**

**Volume 2 (2014-2015)**

**Volume 1 (2013-2014)**

Number of Articles: 6

##### SOME RESULTS ON STRONGLY PRIME SUBMODULES

*Volume 1, Issue 2 , January 2014, Pages 79-89*

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**Abstract **

Let $R$ be a commutative ring with identity and let $M$ be an $R$-module. A proper submodule $P$ of $M$ is called strongly prime submodule if $(P + Rx : M)y P$ for $x, y M$, implies that $x P$ or $y P$. In this paper, we study more properties of strongly prime submodules. It is shown that a ...
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##### A NEW PROOF OF THE PERSISTENCE PROPERTY FOR IDEALS IN DEDEKIND RINGS AND PR¨UFER DOMAINS

*Volume 1, Issue 2 , January 2014, Pages 91-100*

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**Abstract **

In this paper, by using elementary tools of commutative algebra, we prove the persistence property for two especial classes of rings. In fact, this paper has two main sections. In the first main section, we let $R$ be a Dedekind ring and $I$ be a proper ideal of $R$. We prove that if $I_1,\ldots,I_n$ ...
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##### ZARISKI-LIKE SPACES OF CERTAIN MODULES

*Volume 1, Issue 2 , January 2014, Pages 101-115*

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**Abstract **

Let $R$ be a commutative ring with identity and $M$ be a unitary $R$-module. The primary-like spectrum $Spec_L(M)$ is the collection of all primary-like submodules $Q$ such that $M/Q$ is a primeful $R$-module. Here, $M$ is defined to be RSP if $rad(Q)$ is a prime submodule for all $Q\in Spec_L(M)$. This ...
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##### CLASSIFICATION OF LIE SUBALGEBRAS UP TO AN INNER AUTOMORPHISM

*Volume 1, Issue 2 , January 2014, Pages 117-133*

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**Abstract **

In this paper, a useful classification of all Lie subalgebras of a given Lie algebra up to an inner automorphism is presented. This method can be regarded as an important connection between differential geometry and algebra and has many applications in different fields of mathematics. After main results, ...
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##### Lattice of weak hyper K-ideals of a hyper K-algebra

*Volume 1, Issue 2 , January 2014, Pages 135-147*

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**Abstract **

In this note, we study the lattice structure on the class of all weak hyper K-ideals of a hyper K-algebra. We first introduce the notion of (left,right) scalar in a hyper K-algebra which help us to characterize the weak hyper K-ideals generated by a subset. In the sequel, using the notion of a closure ...
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##### Quasi-Primary Decomposition in Modules Over Proufer Domains

*Volume 1, Issue 2 , January 2014, Pages 149-160*