Journal of Algebraic SystemsJournal of Algebraic Systems
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Feed provided by Journal of Algebraic Systems. Click to visit.MAXIMAL PRYM VARIETY AND MAXIMAL MORPHISM
http://jas.shahroodut.ac.ir/article_1251_151.html
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.Fri, 31 Aug 2018 19:30:00 +0100SIGNED GENERALIZED PETERSEN GRAPH AND ITS CHARACTERISTIC POLYNOMIAL
http://jas.shahroodut.ac.ir/article_1252_151.html
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.Fri, 31 Aug 2018 19:30:00 +0100IDEALS WITH (d1, . . . , dm)-LINEAR QUOTIENTS
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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.Fri, 31 Aug 2018 19:30:00 +0100ON MAXIMAL IDEALS OF R∞L
http://jas.shahroodut.ac.ir/article_1254_151.html
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 $mathcal{R}_{infty}L$.Fri, 31 Aug 2018 19:30:00 +0100THE LATTICE OF CONGRUENCES ON A TERNARY SEMIGROUP
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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.Fri, 31 Aug 2018 19:30:00 +0100ON THE CHARACTERISTIC DEGREE OF FINITE GROUPS
http://jas.shahroodut.ac.ir/article_1256_151.html
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.Fri, 31 Aug 2018 19:30:00 +0100