2018
6
1
0
80
MAXIMAL PRYM VARIETY AND MAXIMAL MORPHISM
2
2
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 nontrivial examples of maximal morphisms that results in nontrivial examples of maximal Prym varieties.
1

1
12


M.
Farhadi Sangdehi
departement of math and computer science
Damghan University
departement of math and computer science
Iran
farhadi@du.ac.ir
Prym Variety
Maximal Curve
Maximal Morphism
SIGNED GENERALIZED PETERSEN GRAPH AND ITS CHARACTERISTIC POLYNOMIAL
2
2
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 kth signed spectral moment and kth signed Laplacian spectral moment of Gs together with coefﬁcients of their signed characteristic polynomial and signed Laplacian characteristic polynomial are calculated.
1

13
28


E.
Ghasemian
Department of Pure Mathematics, Faculty of Mathematical Sciences, University of
Kashan, Kashan 8731753153, I. R. Iran.
Department of Pure Mathematics, Faculty of
Iran
e.ghasemian@yahoo.com


Gh. H.
FathTabar
Department of Pure Mathematics, Faculty of Mathematical Sciences, University of
Kashan, Kashan 8731753153, I. R. Iran.
Department of Pure Mathematics, Faculty of
Iran
fathtabar@kashanu.ac.ir
Singed graph
Signed Petersen graph
Adjacency matrix
Signed Laplacian matrix
IDEALS WITH (d1, . . . , dm)LINEAR QUOTIENTS
2
2
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.
1

29
42


L.
Sharifan
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: 193955746, Tehran, Iran.
Department of Mathematics and Computer Sciences,
Iran
leilasharifan@gmail.com
Mapping cone
componentwise linear module
regularity
ON MAXIMAL IDEALS OF R∞L
2
2
Let $L$ be a completely regular frame and $mathcal{R}L$ be the ring of realvalued 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 $mathcal{R}_{infty}L$.
1

43
57


A. A.
Estaji
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,
Iran
aaestaji@gmail.com


A.
Mahmoudi Darghadam
Faculty of Mathematics and Computer Sciences, Hakim Sabzevari University, Sabzevar, Iran.
Email: m.darghadam@yahoo.com
Faculty of Mathematics and Computer Sciences,
Iran
m.darghadam@yahoo.com
Frame
Compact
Maximal ideal
Ring of real valued continuous functions
THE LATTICE OF CONGRUENCES ON A TERNARY SEMIGROUP
2
2
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.
1

59
70


N.
Ashrafi
Faculty of Mathematics, Statistics and Computer Science, Semnan University, Semnan, Iran.
Email: nashrafi@semnan.ac.ir
Faculty of Mathematics, Statistics and Computer
Iran
nashrafi@semnan.ac.ir


Z.
Yazdanmehr
Faculty of Mathematics, Statistics and Computer Science, Semnan University, Semnan, Iran.
Email: zhyazdanmehr@gmail.com
Faculty of Mathematics, Statistics and Computer
Iran
zhyazdanmehr@gmail.com
Ternary semigroup
congruence
lattice
ON THE CHARACTERISTIC DEGREE OF FINITE GROUPS
2
2
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 psubgroup of G.
1

71
80


Z.
Sepehrizadeh
Department of Pure Mathematics, Shahrekord University , P.O.Box 115, Shahrekord, Iran.
Email: zohreh.sepehri@gmail.com
Department of Pure Mathematics, Shahrekord
Iran
zohreh.sepehri@gmail.com


M. R.
Rismanchian
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
Iran
rismanchian133@gmail.com
Autocommutativity degree
Characteristic degree
pgroup