@article {
author = {Farhadi Sangdehi, M.},
title = {MAXIMAL PRYM VARIETY AND MAXIMAL MORPHISM},
journal = {Journal of Algebraic Systems},
volume = {6},
number = {1},
pages = {1-12},
year = {2018},
publisher = {Shahrood University of Technology},
issn = {2345-5128},
eissn = {2345-511X},
doi = {10.22044/jas.2017.6012.1301},
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.},
keywords = {Prym Variety,Maximal Curve,Maximal Morphism},
url = {http://jas.shahroodut.ac.ir/article_1251.html},
eprint = {http://jas.shahroodut.ac.ir/article_1251_754f567f47608f98c2a43186b7dde0ee.pdf}
}
@article {
author = {Ghasemian, E. and Fath-Tabar, Gh. H.},
title = {SIGNED GENERALIZED PETERSEN GRAPH AND ITS CHARACTERISTIC POLYNOMIAL},
journal = {Journal of Algebraic Systems},
volume = {6},
number = {1},
pages = {13-28},
year = {2018},
publisher = {Shahrood University of Technology},
issn = {2345-5128},
eissn = {2345-511X},
doi = {10.22044/jas.2017.5482.1278},
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.},
keywords = {Singed graph,Signed Petersen graph,Adjacency matrix,Signed Laplacian matrix},
url = {http://jas.shahroodut.ac.ir/article_1252.html},
eprint = {http://jas.shahroodut.ac.ir/article_1252_6c32e6bd4ccfe3ab6aa2450e8fa4c181.pdf}
}
@article {
author = {Sharifan, L.},
title = {IDEALS WITH (d1, . . . , dm)-LINEAR QUOTIENTS},
journal = {Journal of Algebraic Systems},
volume = {6},
number = {1},
pages = {29-42},
year = {2018},
publisher = {Shahrood University of Technology},
issn = {2345-5128},
eissn = {2345-511X},
doi = {10.22044/jas.2018.5530.1280},
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.},
keywords = {Mapping cone,componentwise linear module,regularity},
url = {http://jas.shahroodut.ac.ir/article_1253.html},
eprint = {http://jas.shahroodut.ac.ir/article_1253_6f8ef72f643795159174715408d317ee.pdf}
}
@article {
author = {Estaji, A. A. and Mahmoudi Darghadam, A.},
title = {ON MAXIMAL IDEALS OF R_{∞}L

},
journal = {Journal of Algebraic Systems},
volume = {6},
number = {1},
pages = {43-57},
year = {2018},
publisher = {Shahrood University of Technology},
issn = {2345-5128},
eissn = {2345-511X},
doi = {10.22044/jas.2018.6259.1311},
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 $\mathcal{R}_{\infty}L$.},
keywords = {Frame,Compact,Maximal ideal,Ring of real valued continuous functions},
url = {http://jas.shahroodut.ac.ir/article_1254.html},
eprint = {http://jas.shahroodut.ac.ir/article_1254_45a4703f3fc3297b882c27efeed5d7db.pdf}
}
@article {
author = {Ashrafi, N. and Yazdanmehr, Z.},
title = {THE LATTICE OF CONGRUENCES ON A TERNARY SEMIGROUP},
journal = {Journal of Algebraic Systems},
volume = {6},
number = {1},
pages = {59-70},
year = {2018},
publisher = {Shahrood University of Technology},
issn = {2345-5128},
eissn = {2345-511X},
doi = {10.22044/jas.2018.5360.1273},
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.},
keywords = {Ternary semigroup,congruence,Lattice},
url = {http://jas.shahroodut.ac.ir/article_1255.html},
eprint = {http://jas.shahroodut.ac.ir/article_1255_585b8d0ca4e05982b434b1a9d2ab912e.pdf}
}
@article {
author = {Sepehrizadeh, Z. and Rismanchian, M. R.},
title = {ON THE CHARACTERISTIC DEGREE OF FINITE GROUPS},
journal = {Journal of Algebraic Systems},
volume = {6},
number = {1},
pages = {71-80},
year = {2018},
publisher = {Shahrood University of Technology},
issn = {2345-5128},
eissn = {2345-511X},
doi = {10.22044/jas.2018.6328.1316},
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.},
keywords = {Autocommutativity degree,Characteristic degree,p-group},
url = {http://jas.shahroodut.ac.ir/article_1256.html},
eprint = {http://jas.shahroodut.ac.ir/article_1256_9cb3d15cf6327aa4481ad9fb54223403.pdf}
}