ORIGINAL_ARTICLE
ON THE SPECTRUM OF DERANGEMENT GRAPHS OF ORDER A PRODUCT OF THREE PRIMES
A permutation with no fixed points is called a derangement. The subset $\mathcal{D}$ of a permutation group is derangement if all elements of $\mathcal{D}$ are derangement. Let $G$ be a permutation group, a derangementgraph is one with vertex set $G$ and derangement set $\mathcal{D}$ as connecting set. In this paper, we determine the spectrum of derangement graphs of order a product of three primes.
http://jas.shahroodut.ac.ir/article_1359_9e89cef5779fab48c5efd555244f3eb7.pdf
2019-01-01T11:23:20
2020-06-01T11:23:20
81
89
10.22044/jas.2018.6636.1328
permutation groups
graph eigenvalues
Frobenius group
Modjtaba
Ghorbani
mghorbani@sru.ac.ir
true
1
Department of Mathematics, Faculty of Science, Shahid Rajaee Teacher Training
University, 16785–136, Tehran, Iran.
Department of Mathematics, Faculty of Science, Shahid Rajaee Teacher Training
University, 16785–136, Tehran, Iran.
Department of Mathematics, Faculty of Science, Shahid Rajaee Teacher Training
University, 16785–136, Tehran, Iran.
LEAD_AUTHOR
Mina
Rajabi-Parsa
mina.rparsa@gmail.com
true
2
Department of Mathematics, Faculty of Science, Shahid Rajaee Teacher Training
University, 16785–136, Tehran, Iran.
Department of Mathematics, Faculty of Science, Shahid Rajaee Teacher Training
University, 16785–136, Tehran, Iran.
Department of Mathematics, Faculty of Science, Shahid Rajaee Teacher Training
University, 16785–136, Tehran, Iran.
AUTHOR
ORIGINAL_ARTICLE
On $\alpha $-semi-Short Modules
We introduce and study the concept of $\alpha $-semi short modules. Using this concept we extend some of the basic results of $\alpha $-short modules to $\alpha $-semi short modules. We observe that if $M$ is an $\alpha $-semi short module then the dual perfect dimension of $M$ is $\alpha $ or $\alpha +1$. %In particular, if a semiprime ring $R$ is $\alpha $-semi short as an $R$-module, then its Noetherian dimension either is $\alpha$ or $\alpha +1$.
http://jas.shahroodut.ac.ir/article_1360_7f4f6f35eeb2298932fcc91ec18e8d44.pdf
2019-01-01T11:23:20
2020-06-01T11:23:20
91
99
10.22044/jas.2018.5493.1279
α-short modules
α-almost Noetherian modules
α-semi short modules
α-semi Noetherian modules
dual perfect dimension
Maryam
Davoudian
m.davoudian@scu.ac.ir
true
1
Department of Mathematics, Shahid Chamran University of Ahvaz, P.O. Box:
6135713895, Ahvaz, Iran.
Department of Mathematics, Shahid Chamran University of Ahvaz, P.O. Box:
6135713895, Ahvaz, Iran.
Department of Mathematics, Shahid Chamran University of Ahvaz, P.O. Box:
6135713895, Ahvaz, Iran.
LEAD_AUTHOR
ORIGINAL_ARTICLE
ON SEMI MAXIMAL FILTERS IN BL-ALGEBRAS
In this paper, first we study the semi maximal filters in linear $BL$-algebras and we prove that any semi maximal filter is a primary filter. Then, we investigate the radical of semi maximal filters in $BL$-algebras. Moreover, we determine the relationship between this filters and other types of filters in $BL$-algebras and G\"{o} del algebra. Specially, we prove that in a G\"{o}del algebra, any fantastic filter is a semi maximal filter and any semi maximal filter is an (n-fold) positive implicative filter. Also, in a $BL$-algebra, any semi maximal and implicative filter is a positive implicative filter.Finally, we give an answer to the open problem in [S. Motamed, L. Torkzadeh, A. Borumand Saeid and N. Mohtashamnia, Radical of filters in BL-algebras, Math. Log. Quart. 57, No. 2, (2011), 166-179 ].
http://jas.shahroodut.ac.ir/article_1361_c9fe9e81d975c704b5be7559a1e0c091.pdf
2019-01-01T11:23:20
2020-06-01T11:23:20
101
116
10.22044/jas.2018.6130.1305
(Semi simple)BL-algebra
G ̈odel algebra
semi maximal filter
radical of filter
Akbar
Paad
a.paad@ub.ac.ir
true
1
Department of Mathematics, University of Bojnord, P.O.Box 9453155111, Bojnord,
Iran.
Department of Mathematics, University of Bojnord, P.O.Box 9453155111, Bojnord,
Iran.
Department of Mathematics, University of Bojnord, P.O.Box 9453155111, Bojnord,
Iran.
AUTHOR
R. A.
Borzooei
borzooei@sbu.ac.ir
true
2
Department of Mathematics, Shahid Beheshti University, P.O.Box 1983969411,
Tehran, Iran
Department of Mathematics, Shahid Beheshti University, P.O.Box 1983969411,
Tehran, Iran
Department of Mathematics, Shahid Beheshti University, P.O.Box 1983969411,
Tehran, Iran
LEAD_AUTHOR
ORIGINAL_ARTICLE
ON STRONGLY ASSOCIATIVE HYPERRINGS
This paper generalizes the idea of strongly associative hyperoperation introduced in [7] to the class of hyperrings. We introduce and investigate hyperrings of type 1, type 2 and SDIS. Moreover, we study some examples of these hyperrings and give a new kind of hyperrings called totally hyperrings. Totally hyperrings give us a characterization of Krasner hyperrings. Also, we investigate these strongly hyperoperations in hyperring of series.
http://jas.shahroodut.ac.ir/article_1362_b14cfdd7b20dd1bac81140e24c087680.pdf
2019-01-01T11:23:20
2020-06-01T11:23:20
117
130
10.22044/jas.2018.5951.1298
Strongly associative hyperoperation
SDIS hyperring
Krasner hyperring
totally hyperring
hyperring of series
Fatemeh
Arabpur
f.arabpour@yahoo.com
true
1
Department of Mathematics, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran.
Department of Mathematics, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran.
Department of Mathematics, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran.
AUTHOR
Morteza
Jafarpour
rmo4909@yahoo.com
true
2
Department of Mathematics, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran.
Department of Mathematics, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran.
Department of Mathematics, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran.
LEAD_AUTHOR
ORIGINAL_ARTICLE
ON THE CAPACITY OF EILENBERG-MACLANE AND MOORE SPACES
K. Borsuk in 1979, at the Topological Conference in Moscow, introduced concept of the capacity of a compactum and asked some questions concerning properties of the capacity ofcompacta. In this paper, we give partial positive answers to three of these questions in some cases. In fact, by describing spaces homotopy dominated by Moore and Eilenberg-MacLane spaces, the capacities of a Moore space $M(A,n)$ and an Eilenberg-MacLane space $K(G,n)$ could be obtained. Also, we compute the capacity of wedge sum of finitely many Moore spaces of different degrees and the capacity of product of finitely many Eilenberg-MacLane spaces of different homotopy types. In particular, we compute the capacity of wedge sum of finitely many spheres of the same or different dimensions.
http://jas.shahroodut.ac.ir/article_1363_3d67b550b07ed03fc140c47289cd076b.pdf
2019-01-01T11:23:20
2020-06-01T11:23:20
131
146
10.22044/jas.2018.6312.1313
Homotopy domination
Homotopy type
Eilenberg--MacLane space
Moore space
CW-complex
Mojtaba
Mohareri
m.mohareri@mail.um.ac.ir
true
1
Department of Pure Mathematics, Center of Excellence in Analysis on Algebraic
Structures, Ferdowsi University of Mashhad, P.O. Box: 1159-91775, Mashhad, Iran.
Department of Pure Mathematics, Center of Excellence in Analysis on Algebraic
Structures, Ferdowsi University of Mashhad, P.O. Box: 1159-91775, Mashhad, Iran.
Department of Pure Mathematics, Center of Excellence in Analysis on Algebraic
Structures, Ferdowsi University of Mashhad, P.O. Box: 1159-91775, Mashhad, Iran.
AUTHOR
Behrooz
Mashayekhi
bmashf@um.ac.ir
true
2
Department of Pure Mathematics, Center of Excellence in Analysis on Algebraic
Structures, Ferdowsi University of Mashhad, P.O. Box: 1159-91775, Mashhad, Iran.
Department of Pure Mathematics, Center of Excellence in Analysis on Algebraic
Structures, Ferdowsi University of Mashhad, P.O. Box: 1159-91775, Mashhad, Iran.
Department of Pure Mathematics, Center of Excellence in Analysis on Algebraic
Structures, Ferdowsi University of Mashhad, P.O. Box: 1159-91775, Mashhad, Iran.
AUTHOR
Hanieh
Mirebrahimi
h_mirebrahimi@um.ac.ir
true
3
Department of Pure Mathematics, Center of Excellence in Analysis on Algebraic
Structures, Ferdowsi University of Mashhad, P.O. Box: 1159-91775, Mashhad, Iran.
Department of Pure Mathematics, Center of Excellence in Analysis on Algebraic
Structures, Ferdowsi University of Mashhad, P.O. Box: 1159-91775, Mashhad, Iran.
Department of Pure Mathematics, Center of Excellence in Analysis on Algebraic
Structures, Ferdowsi University of Mashhad, P.O. Box: 1159-91775, Mashhad, Iran.
LEAD_AUTHOR
ORIGINAL_ARTICLE
ON EQUALITY OF ABSOLUTE CENTRAL AND CLASS PRESERVING AUTOMORPHISMS OF FINITE p-GROUPS
Let $G$ be a finite non-abelian $p$-group and $L(G)$ denotes the absolute center of $G$. Also, let $\Aut^{L}(G)$ and $\Aut_c(G)$ denote the group of all absolute central and the class preserving automorphisms of $G$, respectively. In this paper, we give a necessary and sufficient condition for $G$ such that $\Aut_c(G)=\Aut^{L}(G)$. We also characterize all finite non-abelian $p$-groups of order $p^n (n\leq 5)$, for which every absolute central automorphism is class preserving.
http://jas.shahroodut.ac.ir/article_1364_aff3c1c2ba782919ee62a881ce5926c0.pdf
2019-01-01T11:23:20
2020-06-01T11:23:20
147
155
10.22044/jas.2018.6849.1335
Automorphism group
Absolute centre
Finite p-group
Rasoul
Soleimani
rsoleimanii@yahoo.com
true
1
Department of Mathematics, Payame Noor University (PNU), P.O.Box 19395-3697,
Tehran, Iran.
Department of Mathematics, Payame Noor University (PNU), P.O.Box 19395-3697,
Tehran, Iran.
Department of Mathematics, Payame Noor University (PNU), P.O.Box 19395-3697,
Tehran, Iran.
LEAD_AUTHOR
ORIGINAL_ARTICLE
ON GRADED INJECTIVE DIMENSION
There are remarkable relations between the graded homological dimensions and the ordinary homological dimensions. In this paper, we study the injective dimension of a complex of graded modules and derive its some properties. In particular, we define the $^*$dualizing complex for a graded ring and investigate its consequences.
http://jas.shahroodut.ac.ir/article_1365_4e087ce69ac02696c5bfd84864faa899.pdf
2019-01-01T11:23:20
2020-06-01T11:23:20
157
167
10.22044/jas.2018.5984.1299
Graded rings
graded modules
injective dimension
Akram
Mahmoodi
akmahmoodi@yahoo.com
true
1
Department of Mathematics, Payame Noor University (PNU), P.O. Box 19395-
4697, Tehran, Iran.
Department of Mathematics, Payame Noor University (PNU), P.O. Box 19395-
4697, Tehran, Iran.
Department of Mathematics, Payame Noor University (PNU), P.O. Box 19395-
4697, Tehran, Iran.
LEAD_AUTHOR
Afsaneh
Esmaeelnezhad
esmaeelnezhad81@gmail.com
true
2
Department of Mathematics, Payame Noor University (PNU), P.O. Box 19395-
4697, Tehran, Iran.
Department of Mathematics, Payame Noor University (PNU), P.O. Box 19395-
4697, Tehran, Iran.
Department of Mathematics, Payame Noor University (PNU), P.O. Box 19395-
4697, Tehran, Iran.
AUTHOR