2018-02-25T09:12:35Z
http://jart.guilan.ac.ir/?_action=export&rf=summon&issue=13
Journal of Algebra and Related Topics
2345-3931
2345-3931
2013
1
1
Fully primary modules and some variations
A.
Nikseresht
H.
Sharif
Let R be a commutative ring and M be an R-module. We say that M is fully primary, if every proper submodule of M is primary. In this paper, we state some characterizations of fully primary modules. We also give some characterizations of rings over which every module is fully primary, and of those rings over which there exists a faithful fully primary module. Furthermore, we will introduce some variations of fully primary modules and consider similar questions about them.
Fully primary module
k
primary submodule
k-primary submodule
2013
11
01
1
17
http://jart.guilan.ac.ir/article_41_49c9e313db9630f99a7306e0d2da6767.pdf
Journal of Algebra and Related Topics
2345-3931
2345-3931
2013
1
1
Modules with Noetherian second spectrum
F.
Farshadifar
Let $R$ be a commutative ring and let $M$ be an $R$-module. In this article, we introduce the concept of the Zariski socles of submodules of $M$ and investigate their properties. Also we study modules with Noetherian second spectrum and obtain some related results.
Second submodule
second spectrum
Zariski socle
Noetherian spectrum
2013
11
01
19
30
http://jart.guilan.ac.ir/article_42_2652726182ded6a226c51c0f5cdb9707.pdf
Journal of Algebra and Related Topics
2345-3931
2345-3931
2013
1
1
Arens regularity and derivations of Hilbert modules with the certain product
A.
Sahleh
L.
Najarpisheh
Let $A$ be a $C^*$-algebra and $E$ be a left Hilbert $A$-module. In this paper we define a product on $E$ that making it into a Banach algebra and show that under the certain conditions $E$ is Arens regular. We also study the relationship between derivations of $A$ and $E$.
C^{*}
$C^*$-algebra
algebra
Hilbert $C^*$-module
Banach algebra
Hilbert C^{*}
Arens regular
module
Derivation
2013
11
01
31
39
http://jart.guilan.ac.ir/article_43_c935ff4a35e1d9bcd1ab677e11c33519.pdf
Journal of Algebra and Related Topics
2345-3931
2345-3931
2013
1
1
On graded almost semiprime submodules
F.
Farzalipour
Let $G$ be a group with identity $e$. Let $R$ be a $G$-graded commutative ring with a non-zero identity and $M$ be a graded $R$-module. In this article, we introduce the concept of graded almost semiprime submodules. Also, we investigate some basic properties of graded almost semiprime and graded weakly semiprime submodules and give some characterizations of them.
Graded almost semiprime
graded multiplication module
graded weakly semiprime
2013
11
01
41
55
http://jart.guilan.ac.ir/article_44_2544963d93ca99d247a7a86068e5e0fa.pdf
Journal of Algebra and Related Topics
2345-3931
2345-3931
2013
1
1
On Max-injective modules
R.
Ovlyaee
S.
Maleki-Roudposhti
$R$-module. In this paper, we explore more properties of $Max$-injective modules and we study some conditions under which the maximal spectrum of $M$ is a $Max$-spectral space for its Zariski topology.
Max
prime submodule
injective module
$Max$-injective module
$Max$-weak multiplication module
weak multiplication module
$Max$-spectral space
spectral space
2013
11
01
57
66
http://jart.guilan.ac.ir/article_45_32d5151408e19b96641d058716a938a1.pdf
Journal of Algebra and Related Topics
2345-3931
2345-3931
2013
1
1
On continuous cohomology of locally compact Abelian groups and bilinear maps
H.
Sahleh
Let $A$ be an abelian topological group and $B$ a trivial topological $A$-module. In this paper we define the second bilinear cohomology with a trivial coefficient. We show that every abelian group can be embedded in a central extension of abelian groups with bilinear cocycle. Also we show that in the category of locally compact abelian groups a central extension with a continuous section can be embedded in the second bilinear cohomology.
Bilinear cohomology
central extension
nilpotent of class two
2013
11
01
67
77
http://jart.guilan.ac.ir/article_46_2de2cc9120ea26c74a54f5b4acc2febf.pdf