@Article{FarhadiSangdehi2018,
author="Farhadi Sangdehi, M.",
title="MAXIMAL PRYM VARIETY AND MAXIMAL MORPHISM",
journal="Journal of Algebraic Systems",
year="2018",
volume="6",
number="1",
pages="1-12",
abstract="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.",
issn="2345-5128",
doi="10.22044/jas.2017.6012.1301",
url="http://jas.shahroodut.ac.ir/article_1251.html"
}
@Article{Ghasemian2018,
author="Ghasemian, E.
and Fath-Tabar, Gh. H.",
title="SIGNED GENERALIZED PETERSEN GRAPH AND ITS CHARACTERISTIC POLYNOMIAL",
journal="Journal of Algebraic Systems",
year="2018",
volume="6",
number="1",
pages="13-28",
abstract="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.",
issn="2345-5128",
doi="10.22044/jas.2017.5482.1278",
url="http://jas.shahroodut.ac.ir/article_1252.html"
}
@Article{Sharifan2018,
author="Sharifan, L.",
title="IDEALS WITH (d1, . . . , dm)-LINEAR QUOTIENTS",
journal="Journal of Algebraic Systems",
year="2018",
volume="6",
number="1",
pages="29-42",
abstract="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.",
issn="2345-5128",
doi="10.22044/jas.2018.5530.1280",
url="http://jas.shahroodut.ac.ir/article_1253.html"
}
@Article{Estaji2018,
author="Estaji, A. A.
and Mahmoudi Darghadam, A.",
title="ON MAXIMAL IDEALS OF R∞L",
journal="Journal of Algebraic Systems",
year="2018",
volume="6",
number="1",
pages="43-57",
abstract="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 $\mathcal{R}_{\infty}L$.",
issn="2345-5128",
doi="10.22044/jas.2018.6259.1311",
url="http://jas.shahroodut.ac.ir/article_1254.html"
}
@Article{Ashrafi2018,
author="Ashrafi, N.
and Yazdanmehr, Z.",
title="THE LATTICE OF CONGRUENCES ON A TERNARY SEMIGROUP",
journal="Journal of Algebraic Systems",
year="2018",
volume="6",
number="1",
pages="59-70",
abstract="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.",
issn="2345-5128",
doi="10.22044/jas.2018.5360.1273",
url="http://jas.shahroodut.ac.ir/article_1255.html"
}
@Article{Sepehrizadeh2018,
author="Sepehrizadeh, Z.
and Rismanchian, M. R.",
title="ON THE CHARACTERISTIC DEGREE OF FINITE GROUPS",
journal="Journal of Algebraic Systems",
year="2018",
volume="6",
number="1",
pages="71-80",
abstract="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.",
issn="2345-5128",
doi="10.22044/jas.2018.6328.1316",
url="http://jas.shahroodut.ac.ir/article_1256.html"
}