@Article{Iampan2017,
author="Iampan, Aiyared",
title="Derivations of UP-algebras by means of UP-endomorphisms",
journal="Algebraic Structures and Their Applications",
year="2017",
volume="3",
number="2",
pages="1-20",
abstract="The notion of $f$-derivations of UP-algebras is introduced, some useful examples are discussed, and related properties are investigated. Moreover, we show that the fixed set and the kernel of $f$-derivations are UP-subalgebras of UP-algebras,and also give examples to show that the two sets are not UP-ideals of UP-algebras in general.",
issn="2382-9761",
doi="",
url="http://as.yazd.ac.ir/article_901.html"
}
@Article{Khaksari2016,
author="Khaksari, Ahmad",
title="A Note on Artinian Primes and Second Modules",
journal="Algebraic Structures and Their Applications",
year="2016",
volume="3",
number="2",
pages="21-29",
abstract=" Prime submodules and artinian prime modules are characterized. Furthermore, some previous results on prime modules and second modules are generalized.",
issn="2382-9761",
doi="",
url="http://as.yazd.ac.ir/article_953.html"
}
@Article{Foruzesh2016,
author="Foruzesh, Fereshteh
and Bedrood, Mahta",
title="On some classes of expansions of ideals in $MV$-algebras",
journal="Algebraic Structures and Their Applications",
year="2016",
volume="3",
number="2",
pages="31-47",
abstract="In this paper, we introduce the notions of expansion of ideals in $MV$-algebras, $ (\tau,\sigma)- $primary, $ (\tau,\sigma)$-obstinate and $ (\tau,\sigma)$-Boolean in $ MV- $algebras. We investigate the relations of them. For example, we show that every $ (\tau,\sigma)$-obstinate ideal of an $ MV-$ algebra is $ (\tau,\sigma)$-primary and $ (\tau,\sigma)$-Boolean. In particular, we define an expansion $ \sigma_{y} $ of ideals in an $ MV-$algebra. A characterization of expansion ideal with respect to $ \sigma_{y} $ is given. Finally, we show that the class $ C(\sigma_{y}) $ of all constant ideals relative to $ \sigma_{y} $ is a Heyting algebra.",
issn="2382-9761",
doi="",
url="http://as.yazd.ac.ir/article_954.html"
}
@Article{Rasouli2016,
author="Rasouli, Saeed",
title="A new approach to characterization of MV-algebras",
journal="Algebraic Structures and Their Applications",
year="2016",
volume="3",
number="2",
pages="49-70",
abstract="By considering the notion of MV-algebras, we recall some results on enumeration of MV-algebras and wecarry out a study on characterization of MV-algebras of orders $2$, $3$, $4$, $5$, $6$ and $7$. We obtain that there is one non-isomorphic MV-algebra of orders $2$, $3$, $5$ and $7$ and two non-isomorphic MV-algebras of orders $4$ and $6$.",
issn="2382-9761",
doi="",
url="http://as.yazd.ac.ir/article_955.html"
}
@Article{Yazdani-Moghaddam2017,
author="Yazdani-Moghaddam, Masoomeh
and Kahkeshani, Reza",
title="The remoteness of the permutation code of the group $U_{6n}$",
journal="Algebraic Structures and Their Applications",
year="2017",
volume="3",
number="2",
pages="71-79",
abstract="Recently, a new parameter of a code, referred to as the remoteness, has been introduced.This parameter can be viewed as a dual to the covering radius. It is exactly determined for the cyclic and dihedral groups. In this paper, we consider the group $U_{6n}$ as a subgroup of $S_{2n+3}$ and obtain its remoteness. We show that the remoteness of the permutation code $U_{6n}$ is $2n+2$. Moreover, it is proved that the covering radius of $U_{6n}$ is also $2n+2$.",
issn="2382-9761",
doi="",
url="http://as.yazd.ac.ir/article_1057.html"
}
@Article{Alikhani2016,
author="Alikhani, Saeid
and Soltani, Samaneh",
title="The distinguishing chromatic number of bipartite graphs of girth at least six",
journal="Algebraic Structures and Their Applications",
year="2016",
volume="3",
number="2",
pages="81-87",
abstract="The distinguishing number $D(G)$ of a graph $G$ is the least integer $d$ such that $G$ has a vertex labeling with $d$ labels that is preserved only by a trivial automorphism. The distinguishing chromatic number $\chi_{D}(G)$ of $G$ is defined similarly, where, in addition, $f$ is assumed to be a proper labeling. We prove that if $G$ is a bipartite graph of girth at least six with the maximum degree $\Delta (G)$, then $\chi_{D}(G)\leq \Delta (G)+1$. We also obtain an upper bound for $\chi_{D}(G)$ where $G$ is a graph with at most one cycle. Finally, we state a relationship between the distinguishing chromatic number of a graph and its spanning subgraphs.",
issn="2382-9761",
doi="",
url="http://as.yazd.ac.ir/article_1061.html"
}