2020-06-01T18:48:17Z
http://jas.shahroodut.ac.ir/?_action=export&rf=summon&issue=160
Journal of Algebraic Systems
JAS
2345-5128
2345-5128
2019
6
2
ON THE SPECTRUM OF DERANGEMENT GRAPHS OF ORDER A PRODUCT OF THREE PRIMES
Modjtaba
Ghorbani
Mina
Rajabi-Parsa
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 derangement<br />graph 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.<br /><br />
permutation groups
graph eigenvalues
Frobenius group
2019
01
01
81
89
http://jas.shahroodut.ac.ir/article_1359_9e89cef5779fab48c5efd555244f3eb7.pdf
Journal of Algebraic Systems
JAS
2345-5128
2345-5128
2019
6
2
On $alpha $-semi-Short Modules
Maryam
Davoudian
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 $alpha +1$.<br /><br />
α-short modules
α-almost Noetherian modules
α-semi short modules
α-semi Noetherian modules
dual perfect dimension
2019
01
01
91
99
http://jas.shahroodut.ac.ir/article_1360_7f4f6f35eeb2298932fcc91ec18e8d44.pdf
Journal of Algebraic Systems
JAS
2345-5128
2345-5128
2019
6
2
ON SEMI MAXIMAL FILTERS IN BL-ALGEBRAS
Akbar
Paad
R. A.
Borzooei
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.<br />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 ].
(Semi simple)BL-algebra
G ̈odel algebra
semi maximal filter
radical of filter
2019
01
01
101
116
http://jas.shahroodut.ac.ir/article_1361_c9fe9e81d975c704b5be7559a1e0c091.pdf
Journal of Algebraic Systems
JAS
2345-5128
2345-5128
2019
6
2
ON STRONGLY ASSOCIATIVE HYPERRINGS
Fatemeh
Arabpur
Morteza
Jafarpour
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.
Strongly associative hyperoperation
SDIS hyperring
Krasner hyperring
totally hyperring
hyperring of series
2019
01
01
117
130
http://jas.shahroodut.ac.ir/article_1362_b14cfdd7b20dd1bac81140e24c087680.pdf
Journal of Algebraic Systems
JAS
2345-5128
2345-5128
2019
6
2
ON THE CAPACITY OF EILENBERG-MACLANE AND MOORE SPACES
Mojtaba
Mohareri
Behrooz
Mashayekhi
Hanieh
Mirebrahimi
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 of<br />compacta. 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.<br /><br />
Homotopy domination
Homotopy type
Eilenberg--MacLane space
Moore space
CW-complex
2019
01
01
131
146
http://jas.shahroodut.ac.ir/article_1363_3d67b550b07ed03fc140c47289cd076b.pdf
Journal of Algebraic Systems
JAS
2345-5128
2345-5128
2019
6
2
ON EQUALITY OF ABSOLUTE CENTRAL AND CLASS PRESERVING AUTOMORPHISMS OF FINITE p-GROUPS
Rasoul
Soleimani
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 $p^n (nleq 5)$, for which every absolute central automorphism is class preserving.<br /><br />
Automorphism group
Absolute centre
Finite p-group
2019
01
01
147
155
http://jas.shahroodut.ac.ir/article_1364_aff3c1c2ba782919ee62a881ce5926c0.pdf
Journal of Algebraic Systems
JAS
2345-5128
2345-5128
2019
6
2
ON GRADED INJECTIVE DIMENSION
Akram
Mahmoodi
Afsaneh
Esmaeelnezhad
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.
Graded rings
graded modules
injective dimension
2019
01
01
157
167
http://jas.shahroodut.ac.ir/article_1365_4e087ce69ac02696c5bfd84864faa899.pdf