**Volume 11 (2023-2024)**

**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

##### ON COMULTIPLICATION AND R-MULTIPLICATION MODULES

*Volume 2, Issue 1 , September 2014, Pages 1-19*

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**Abstract **

We state several conditions under which comultiplication and weak comultiplication modules are cyclic and study strong comultiplication modules and comultiplication rings. In particular, we will show that every faithful weak comultiplication module having a maximal submodule over a reduced ring with ...
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##### DIFFERENTIAL MULTIPLICATIVE HYPERRINGS

*Volume 2, Issue 1 , September 2014, Pages 21-35*

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**Abstract **

There are several kinds of hyperrings, for example, Krasnerhyperrings, multiplicative hyperring, general hyperrings and$H_v$-rings. In a multiplicative hyperring, the multiplication isa hyperoperation, while the addition is a binary operation. In this paper, the notion of derivation on multiplicative ...
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##### A CHARACTERIZATION OF BAER-IDEALS

*Volume 2, Issue 1 , September 2014, Pages 37-51*

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**Abstract **

An ideal I of a ring R is called right Baer-ideal if there exists an idempotent e 2 R such that r(I) = eR. We know that R is quasi-Baer if every ideal of R is a right Baer-ideal, R is n-generalized right quasi-Baer if for each I E R the ideal In is right Baer-ideal, and R is right principaly quasi-Baer ...
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##### APPROXIMATE IDENTITY IN CLOSED CODIMENSION ONE IDEALS OF SEMIGROUP ALGEBRAS

*Volume 2, Issue 1 , September 2014, Pages 53-59*

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**Abstract **

Let S be a locally compact topological foundation semigroup with identity and Ma(S) be its semigroup algebra. In this paper, we give necessary and sufficient conditions to have a bounded approximate identity in closed codimension one ideals of the semigroup algebra $M_a(S)$ of a locally compact topological ...
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##### LIFTING MODULES WITH RESPECT TO A PRERADICAL

*Volume 2, Issue 1 , September 2014, Pages 61-65*

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**Abstract **

Let $M$ be a right module over a ring $R$, $tau_M$ a preradical on $sigma[M]$, and $Ninsigma[M]$. In this note we show that if $N_1, N_2in sigma[M]$ are two $tau_M$-lifting modules such that $N_i$ is $N_j$-projective ($i,j=1,2$), then $N=N_1oplus N_2$ is $tau_M$-lifting. We investigate when homomorphic ...
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##### BEST APPROXIMATION IN QUASI TENSOR PRODUCT SPACE AND DIRECT SUM OF LATTICE NORMED SPACES

*Volume 2, Issue 1 , September 2014, Pages 67-81*