ORIGINAL_ARTICLE
MAXIMAL PRYM VARIETY AND MAXIMAL MORPHISM
We investigated maximal Prym varieties on finite fields by attaining their upper bounds on the number of rational points. This concept gave us a motivation for defining a generalized definition of maximal curves i.e. maximal morphisms. By MAGMA, we give some non-trivial examples of maximal morphisms that results in non-trivial examples of maximal Prym varieties.
http://jas.shahroodut.ac.ir/article_1251_add36bf281698a633a65ec2e84c197b7.pdf
2018-09-01T11:23:20
2018-08-15T11:23:20
1
12
10.22044/jas.2017.6012.1301
Prym Variety
Maximal Curve
Maximal Morphism
M.
Farhadi Sangdehi
farhadi@du.ac.ir
true
1
departement of math and computer science
Damghan University
departement of math and computer science
Damghan University
departement of math and computer science
Damghan University
LEAD_AUTHOR
ORIGINAL_ARTICLE
SIGNED GENERALIZED PETERSEN GRAPH AND ITS CHARACTERISTIC POLYNOMIAL
Let G^s be a signed graph, where G = (V;E) is the underlying simple graph and s : E(G) to {+, -} is the sign function on E(G). In this paper, we obtain k-th signed spectral moment and k-th signed Laplacian spectral moment of Gs together with coefﬁcients of their signed characteristic polynomial and signed Laplacian characteristic polynomial are calculated.
http://jas.shahroodut.ac.ir/article_1252_1cac8794e05806be8ceb9da24ee63f0a.pdf
2018-09-01T11:23:20
2018-08-15T11:23:20
13
28
10.22044/jas.2017.5482.1278
Singed graph
Signed Petersen graph
Adjacency matrix
Signed Laplacian matrix
E.
Ghasemian
e.ghasemian@yahoo.com
true
1
Department of Pure Mathematics, Faculty of Mathematical Sciences, University of
Kashan, Kashan 87317-53153, I. R. Iran.
Department of Pure Mathematics, Faculty of Mathematical Sciences, University of
Kashan, Kashan 87317-53153, I. R. Iran.
Department of Pure Mathematics, Faculty of Mathematical Sciences, University of
Kashan, Kashan 87317-53153, I. R. Iran.
AUTHOR
Gh. H.
Fath-Tabar
fathtabar@kashanu.ac.ir
true
2
Department of Pure Mathematics, Faculty of Mathematical Sciences, University of
Kashan, Kashan 87317-53153, I. R. Iran.
Department of Pure Mathematics, Faculty of Mathematical Sciences, University of
Kashan, Kashan 87317-53153, I. R. Iran.
Department of Pure Mathematics, Faculty of Mathematical Sciences, University of
Kashan, Kashan 87317-53153, I. R. Iran.
LEAD_AUTHOR
ORIGINAL_ARTICLE
IDEALS WITH (d1, . . . , dm)-LINEAR QUOTIENTS
In this paper, we introduce the class of ideals with $(d_1,\ldots,d_m)$-linear quotients generalizing the class of ideals with linear quotients. Under suitable conditions we control the numerical invariants of a minimal free resolution of ideals with $(d_1,\ldots,d_m)$-linear quotients. In particular we show that their first module of syzygies is a componentwise linear module.
http://jas.shahroodut.ac.ir/article_1253_5095867677dfc53231fca042ab87af79.pdf
2018-09-01T11:23:20
2018-08-15T11:23:20
29
42
10.22044/jas.2018.5530.1280
Mapping cone
componentwise linear module
regularity
L.
Sharifan
leilasharifan@gmail.com
true
1
Department of Mathematics and Computer Sciences, Hakim Sabzevari University,
Sabzevar, Iran
and School of Mathematics, Institute for research in Fundamental Sciences (IPM), P.O. Box: 19395-5746, Tehran, Iran.
Department of Mathematics and Computer Sciences, Hakim Sabzevari University,
Sabzevar, Iran
and School of Mathematics, Institute for research in Fundamental Sciences (IPM), P.O. Box: 19395-5746, Tehran, Iran.
Department of Mathematics and Computer Sciences, Hakim Sabzevari University,
Sabzevar, Iran
and School of Mathematics, Institute for research in Fundamental Sciences (IPM), P.O. Box: 19395-5746, Tehran, Iran.
LEAD_AUTHOR
ORIGINAL_ARTICLE
ON MAXIMAL IDEALS OF R∞L
Let $L$ be a completely regular frame and $\mathcal{R}L$ be the ring of real-valued continuous functions on $L$. We consider the set $$\mathcal{R}_{\infty}L = \{\varphi \in \mathcal{R} L : \uparrow \varphi( \dfrac{-1}{n}, \dfrac{1}{n}) \mbox{ is a compact frame for any $n \in \mathbb{N}$}\}.$$ Suppose that $C_{\infty} (X)$ is the family of all functions $f \in C(X)$ for which the set $\{x \in X: |f(x)|\geq \dfrac{1}{n} \}$ is compact, for every $n \in \mathbb{N}$. Kohls has shown that $C_{\infty} (X)$ is precisely the intersection of all the free maximal ideals of $C^{*}(X)$. The aim of this paper is to extend this result to the real continuous functions on a frame and hence we show that $\mathcal{R}_{\infty}L$ is precisely the intersection of all the free maximal ideals of $\mathcal R^{*}L$. This result is used to characterize the maximal ideals in $\mathcal{R}_{\infty}L$.
http://jas.shahroodut.ac.ir/article_1254_b7ff14694dc7c2f170a0a9a6677d196b.pdf
2018-09-01T11:23:20
2018-08-15T11:23:20
43
57
10.22044/jas.2018.6259.1311
Frame
Compact
Maximal ideal
Ring of real valued continuous functions
A. A.
Estaji
aaestaji@gmail.com
true
1
Faculty of Mathematics and Computer Sciences, Hakim Sabzevari University, Sabzevar, Iran.
Email: aaestaji@hsu.ac.ir and aaestaji@gmail.com
Faculty of Mathematics and Computer Sciences, Hakim Sabzevari University, Sabzevar, Iran.
Email: aaestaji@hsu.ac.ir and aaestaji@gmail.com
Faculty of Mathematics and Computer Sciences, Hakim Sabzevari University, Sabzevar, Iran.
Email: aaestaji@hsu.ac.ir and aaestaji@gmail.com
LEAD_AUTHOR
A.
Mahmoudi Darghadam
m.darghadam@yahoo.com
true
2
Faculty of Mathematics and Computer Sciences, Hakim Sabzevari University, Sabzevar, Iran.
Email: m.darghadam@yahoo.com
Faculty of Mathematics and Computer Sciences, Hakim Sabzevari University, Sabzevar, Iran.
Email: m.darghadam@yahoo.com
Faculty of Mathematics and Computer Sciences, Hakim Sabzevari University, Sabzevar, Iran.
Email: m.darghadam@yahoo.com
AUTHOR
ORIGINAL_ARTICLE
THE LATTICE OF CONGRUENCES ON A TERNARY SEMIGROUP
In this paper we investigate some properties of congruences on ternary semigroups. We also deﬁne the notion of congruence on a ternary semigroup generated by a relation and we determine the method of obtaining a congruence on a ternary semigroup T from a relation R on T. Furthermore we study the lattice of congruences on a ternary semigroup and we show that this lattice is not generally modular, it is not even semimodular. Then we indicate some conditions under which this lattice is modular.
http://jas.shahroodut.ac.ir/article_1255_8c225bd8fff71b0f902c27667ee224cb.pdf
2018-09-01T11:23:20
2018-08-15T11:23:20
59
70
10.22044/jas.2018.5360.1273
Ternary semigroup
congruence
lattice
N.
Ashrafi
nashrafi@semnan.ac.ir
true
1
Faculty of Mathematics, Statistics and Computer Science, Semnan University, Semnan, Iran.
Email: nashrafi@semnan.ac.ir
Faculty of Mathematics, Statistics and Computer Science, Semnan University, Semnan, Iran.
Email: nashrafi@semnan.ac.ir
Faculty of Mathematics, Statistics and Computer Science, Semnan University, Semnan, Iran.
Email: nashrafi@semnan.ac.ir
LEAD_AUTHOR
Z.
Yazdanmehr
zhyazdanmehr@gmail.com
true
2
Faculty of Mathematics, Statistics and Computer Science, Semnan University, Semnan, Iran.
Email: zhyazdanmehr@gmail.com
Faculty of Mathematics, Statistics and Computer Science, Semnan University, Semnan, Iran.
Email: zhyazdanmehr@gmail.com
Faculty of Mathematics, Statistics and Computer Science, Semnan University, Semnan, Iran.
Email: zhyazdanmehr@gmail.com
AUTHOR
ORIGINAL_ARTICLE
ON THE CHARACTERISTIC DEGREE OF FINITE GROUPS
In this article we introduce and study the concept of characteristic degree of a subgroup in a finite group. We define the characteristic degree of a subgroup H in a finite group G as the ratio of the number of all pairs (h,α) ∈ H×Aut(G) such that h^α∈H, by the order of H × Aut(G), where Aut(G) is the automorphisms group of G. This quantity measures the probability that H can be characteristic in G. We determine the upper and lower bounds for this probability. We also obtain a special lower bound, when H is a cyclic p-subgroup of G.
http://jas.shahroodut.ac.ir/article_1256_dc3a82544bbbd50166de79daec83f997.pdf
2018-09-01T11:23:20
2018-08-15T11:23:20
71
80
10.22044/jas.2018.6328.1316
Autocommutativity degree
Characteristic degree
p-group
Z.
Sepehrizadeh
zohreh.sepehri@gmail.com
true
1
Department of Pure Mathematics, Shahrekord University , P.O.Box 115, Shahrekord, Iran.
Email: zohreh.sepehri@gmail.com
Department of Pure Mathematics, Shahrekord University , P.O.Box 115, Shahrekord, Iran.
Email: zohreh.sepehri@gmail.com
Department of Pure Mathematics, Shahrekord University , P.O.Box 115, Shahrekord, Iran.
Email: zohreh.sepehri@gmail.com
AUTHOR
M. R.
Rismanchian
rismanchian133@gmail.com
true
2
Department of Pure Mathematics, Shahrekord University , P.O.Box 115, Shahrekord, Iran.
Email: rismanchian133@gmail.com, rismanchian@sku.ac.ir
Department of Pure Mathematics, Shahrekord University , P.O.Box 115, Shahrekord, Iran.
Email: rismanchian133@gmail.com, rismanchian@sku.ac.ir
Department of Pure Mathematics, Shahrekord University , P.O.Box 115, Shahrekord, Iran.
Email: rismanchian133@gmail.com, rismanchian@sku.ac.ir
LEAD_AUTHOR