ORIGINAL_ARTICLE
Fully primary modules and some variations
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.
https://jart.guilan.ac.ir/article_41_49c9e313db9630f99a7306e0d2da6767.pdf
2013-11-01T11:23:20
2019-04-22T11:23:20
1
17
Fully primary module
k
primary submodule
k-primary submodule
A.
Nikseresht
ashkan_nikseresht@yahoo.com
true
1
Shiraz University
Shiraz University
Shiraz University
LEAD_AUTHOR
H.
Sharif
sharif@susc.ac.ir
true
2
Shiraz University
Shiraz University
Shiraz University
AUTHOR
ORIGINAL_ARTICLE
Modules with Noetherian second 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.
https://jart.guilan.ac.ir/article_42_2652726182ded6a226c51c0f5cdb9707.pdf
2013-11-01T11:23:20
2019-04-22T11:23:20
19
30
Second submodule
second spectrum
Zariski socle
Noetherian spectrum
F.
Farshadifar
f.farshadifar@gmail.com
true
1
University of Farhangian
University of Farhangian
University of Farhangian
LEAD_AUTHOR
ORIGINAL_ARTICLE
Arens regularity and derivations of Hilbert modules with the certain product
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 $E$.
https://jart.guilan.ac.ir/article_43_c935ff4a35e1d9bcd1ab677e11c33519.pdf
2013-11-01T11:23:20
2019-04-22T11:23:20
31
39
C^{*}
$C^*$-algebra
algebra
Hilbert $C^*$-module
Banach algebra
Hilbert C^{*}
Arens regular
module
Derivation
A.
Sahleh
sahlehj@guilan.ac.ir
true
1
University of Guilan
University of Guilan
University of Guilan
LEAD_AUTHOR
L.
Najarpisheh
najarpisheh@phd.guilan.ac.ir
true
2
University of Guilan
University of Guilan
University of Guilan
AUTHOR
ORIGINAL_ARTICLE
On graded almost semiprime submodules
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.
https://jart.guilan.ac.ir/article_44_2544963d93ca99d247a7a86068e5e0fa.pdf
2013-11-01T11:23:20
2019-04-22T11:23:20
41
55
Graded almost semiprime
graded multiplication module
graded weakly semiprime
F.
Farzalipour
f_farzalipour@pnu.ac.ir
true
1
University of Payame Noor
University of Payame Noor
University of Payame Noor
LEAD_AUTHOR
ORIGINAL_ARTICLE
On Max-injective modules
$R$-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.
https://jart.guilan.ac.ir/article_45_32d5151408e19b96641d058716a938a1.pdf
2013-11-01T11:23:20
2019-04-22T11:23:20
57
66
Max
prime submodule
injective module
$Max$-injective module
$Max$-weak multiplication module
weak multiplication module
$Max$-spectral space
spectral space
R.
Ovlyaee
ovlyaee@yahoo.ca
true
1
Kadous Institute of Higher Educations
Kadous Institute of Higher Educations
Kadous Institute of Higher Educations
LEAD_AUTHOR
S.
Maleki-Roudposhti
sepidehmaleki.r@gmail.com
true
2
Kadous Institute of Higher Educations
Kadous Institute of Higher Educations
Kadous Institute of Higher Educations
AUTHOR
ORIGINAL_ARTICLE
On continuous cohomology of locally compact Abelian groups and bilinear maps
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.
https://jart.guilan.ac.ir/article_46_2de2cc9120ea26c74a54f5b4acc2febf.pdf
2013-11-01T11:23:20
2019-04-22T11:23:20
67
77
Bilinear cohomology
central extension
nilpotent of class two
H.
Sahleh
sahleh@guilan.ac.ir
true
1
University of Guilan
University of Guilan
University of Guilan
LEAD_AUTHOR