Fully primary modules and some variations
University of Guilan
Journal of Algebra and Related Topics
2345-3931
2382-9877
2013
11
1
1
No
2013-11-16
A. Nikseresht,H. Sharif
Shiraz University,Shiraz University
1
Fully primary module,k,primary submodule,k-primary submodule
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.
http://jart.guilan.ac.ir/article_41.html
http://jart.guilan.ac.ir/article_41_49c9e313db9630f99a7306e0d2da6767.pdf
Modules with Noetherian second spectrum
University of Guilan
Journal of Algebra and Related Topics
2345-3931
2382-9877
2013
11
1
1
No
2013-11-16
F. Farshadifar
University of Farhangian
19
Second submodule,second spectrum,Zariski socle,Noetherian spectrum
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.
http://jart.guilan.ac.ir/article_42.html
http://jart.guilan.ac.ir/article_42_2652726182ded6a226c51c0f5cdb9707.pdf
Arens regularity and derivations of Hilbert modules with the certain product
University of Guilan
Journal of Algebra and Related Topics
2345-3931
2382-9877
2013
11
1
1
No
2013-11-16
A. Sahleh,L. Najarpisheh
University of Guilan,University of Guilan
31
C^{*},$C^*$-algebra,algebra,Hilbert $C^*$-module,Banach algebra,Hilbert C^{*},Arens regular,module,Derivation
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 $E$.
http://jart.guilan.ac.ir/article_43.html
http://jart.guilan.ac.ir/article_43_c935ff4a35e1d9bcd1ab677e11c33519.pdf
On graded almost semiprime submodules
University of Guilan
Journal of Algebra and Related Topics
2345-3931
2382-9877
2013
11
1
1
No
2013-11-16
F. Farzalipour
University of Payame Noor
41
Graded almost semiprime,graded multiplication module,graded weakly semiprime
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.
http://jart.guilan.ac.ir/article_44.html
http://jart.guilan.ac.ir/article_44_2544963d93ca99d247a7a86068e5e0fa.pdf
On Max-injective modules
University of Guilan
Journal of Algebra and Related Topics
2345-3931
2382-9877
2013
11
1
1
No
2013-11-16
R. Ovlyaee,S. Maleki-Roudposhti
Kadous Institute of Higher Educations,Kadous Institute of Higher Educations
57
Max,prime submodule,injective module,$Max$-injective module,$Max$-weak multiplication module,weak multiplication module,$Max$-spectral space,spectral space
$R$-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.
http://jart.guilan.ac.ir/article_45.html
http://jart.guilan.ac.ir/article_45_32d5151408e19b96641d058716a938a1.pdf
On continuous cohomology of locally compact Abelian groups and bilinear maps
University of Guilan
Journal of Algebra and Related Topics
2345-3931
2382-9877
2013
11
1
1
No
2013-11-16
H. Sahleh
University of Guilan
67
Bilinear cohomology,central extension,nilpotent of class two
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.
http://jart.guilan.ac.ir/article_46.html
http://jart.guilan.ac.ir/article_46_2de2cc9120ea26c74a54f5b4acc2febf.pdf