2019
6
2
0
87
ON THE SPECTRUM OF DERANGEMENT GRAPHS OF ORDER A PRODUCT OF THREE PRIMES
2
2
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.
1

81
89


Modjtaba
Ghorbani
Department of Mathematics, Faculty of Science, Shahid Rajaee Teacher Training
University, 16785–136, Tehran, Iran.
Department of Mathematics, Faculty of Science,
Iran
mghorbani@sru.ac.ir


Mina
RajabiParsa
Department of Mathematics, Faculty of Science, Shahid Rajaee Teacher Training
University, 16785–136, Tehran, Iran.
Department of Mathematics, Faculty of Science,
Iran
mina.rparsa@gmail.com
permutation groups
graph eigenvalues
Frobenius group
On $alpha $semiShort Modules
2
2
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 $alpha +1$.
1

91
99


Maryam
Davoudian
Department of Mathematics, Shahid Chamran University of Ahvaz, P.O. Box:
6135713895, Ahvaz, Iran.
Department of Mathematics, Shahid Chamran
Iran
m.davoudian@scu.ac.ir
αshort modules
αalmost Noetherian modules
αsemi short modules
αsemi Noetherian modules
dual perfect dimension
ON SEMI MAXIMAL FILTERS IN BLALGEBRAS
2
2
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 (nfold) 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 BLalgebras, Math. Log. Quart. 57, No. 2, (2011), 166179 ].
1

101
116


Akbar
Paad
Department of Mathematics, University of Bojnord, P.O.Box 9453155111, Bojnord,
Iran.
Department of Mathematics, University of
Iran
a.paad@ub.ac.ir


R. A.
Borzooei
Department of Mathematics, Shahid Beheshti University, P.O.Box 1983969411,
Tehran, Iran
Department of Mathematics, Shahid Beheshti
Iran
borzooei@sbu.ac.ir
(Semi simple)BLalgebra
G ̈odel algebra
semi maximal filter
radical of filter
ON STRONGLY ASSOCIATIVE HYPERRINGS
2
2
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.
1

117
130


Fatemeh
Arabpur
Department of Mathematics, ValieAsr University of Rafsanjan, Rafsanjan, Iran.
Department of Mathematics, ValieAsr University
Iran
f.arabpour@yahoo.com


Morteza
Jafarpour
Department of Mathematics, ValieAsr University of Rafsanjan, Rafsanjan, Iran.
Department of Mathematics, ValieAsr University
Iran
rmo4909@yahoo.com
Strongly associative hyperoperation
SDIS hyperring
Krasner hyperring
totally hyperring
hyperring of series
ON THE CAPACITY OF EILENBERGMACLANE AND MOORE SPACES
2
2
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 EilenbergMacLane spaces, the capacities of a Moore space $M(A,n)$ and an EilenbergMacLane 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 EilenbergMacLane spaces of different homotopy types. In particular, we compute the capacity of wedge sum of finitely many spheres of the same or different dimensions.
1

131
146


Mojtaba
Mohareri
Department of Pure Mathematics, Center of Excellence in Analysis on Algebraic
Structures, Ferdowsi University of Mashhad, P.O. Box: 115991775, Mashhad, Iran.
Department of Pure Mathematics, Center of
Iran
m.mohareri@mail.um.ac.ir


Behrooz
Mashayekhi
Department of Pure Mathematics, Center of Excellence in Analysis on Algebraic
Structures, Ferdowsi University of Mashhad, P.O. Box: 115991775, Mashhad, Iran.
Department of Pure Mathematics, Center of
Iran
bmashf@um.ac.ir


Hanieh
Mirebrahimi
Department of Pure Mathematics, Center of Excellence in Analysis on Algebraic
Structures, Ferdowsi University of Mashhad, P.O. Box: 115991775, Mashhad, Iran.
Department of Pure Mathematics, Center of
Iran
h_mirebrahimi@um.ac.ir
Homotopy domination
Homotopy type
EilenbergMacLane space
Moore space
CWcomplex
ON EQUALITY OF ABSOLUTE CENTRAL AND CLASS PRESERVING AUTOMORPHISMS OF FINITE pGROUPS
2
2
Let $G$ be a finite nonabelian $p$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 nonabelian $p$groups of order $p^n (nleq 5)$, for which every absolute central automorphism is class preserving.
1

147
155


Rasoul
Soleimani
Department of Mathematics, Payame Noor University (PNU), P.O.Box 193953697,
Tehran, Iran.
Department of Mathematics, Payame Noor University
Iran
rsoleimanii@yahoo.com
Automorphism group
Absolute centre
Finite pgroup
ON GRADED INJECTIVE DIMENSION
2
2
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.
1

157
167


Akram
Mahmoodi
Department of Mathematics, Payame Noor University (PNU), P.O. Box 19395
4697, Tehran, Iran.
Department of Mathematics, Payame Noor University
Iran
akmahmoodi@yahoo.com


Afsaneh
Esmaeelnezhad
Department of Mathematics, Payame Noor University (PNU), P.O. Box 19395
4697, Tehran, Iran.
Department of Mathematics, Payame Noor University
Iran
esmaeelnezhad81@gmail.com
Graded rings
graded modules
injective dimension