Yazd University
Algebraic Structures and Their Applications
2382-9761
3
2
2017
04
20
Derivations of UP-algebras by means of UP-endomorphisms
1
20
EN
Aiyared
Iampan
University of Phayao
aiyared.ia@up.ac.th
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.
UP-algebra,UP-subalgebra,UP-ideal,$f$-derivation
http://as.yazd.ac.ir/article_901.html
http://as.yazd.ac.ir/article_901_f422878003a1475eef8b5d834bc3679e.pdf
Yazd University
Algebraic Structures and Their Applications
2382-9761
3
2
2016
04
01
A Note on Artinian Primes and Second Modules
21
29
EN
Ahmad
Khaksari
Department of Mathematics, Payame Noor University, Tehran, Iran
a_khaksari@pnu.ac.ir
Prime submodules and artinian prime modules are characterized. Furthermore, some previous results on prime modules and second modules are generalized.
Prime submodule,Second submodule,Injective and flat module,Catenary modules,Dimension of modules
http://as.yazd.ac.ir/article_953.html
http://as.yazd.ac.ir/article_953_b2552b7859f51a9b570e841a3799b41d.pdf
Yazd University
Algebraic Structures and Their Applications
2382-9761
3
2
2016
04
01
On some classes of expansions of ideals in $MV$-algebras
31
47
EN
Fereshteh
Foruzesh
Faculty of Mathematics and computing, Higher Education Complex of Bam, Kerman, Iran.
Mahta
Bedrood
Department of Mathematics , Shahid Bahonar University
Kerman, Iran.
bedrood.m@gmail.com
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.
Expansion of an ideal,sigma)-primary $,sigma)$-obstinate,$ (tau,sigma)$-Boolean,Heyting algebra
http://as.yazd.ac.ir/article_954.html
http://as.yazd.ac.ir/article_954_72d43e9972d37dc2a7361805371f5338.pdf
Yazd University
Algebraic Structures and Their Applications
2382-9761
3
2
2016
04
01
A new approach to characterization of MV-algebras
49
70
EN
Saeed
Rasouli
Department of Mathematics, Persian Gulf University, Bushehr, 75169, Iran
saeedmath@yahoo.com
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 $6$.
MV-algebra,Lattice,distributive lattice,ideal,sub MV-algebra
http://as.yazd.ac.ir/article_955.html
http://as.yazd.ac.ir/article_955_0a544bda63302897572bdf6c822b878b.pdf
Yazd University
Algebraic Structures and Their Applications
2382-9761
3
2
2017
12
03
The remoteness of the permutation code of the group $U_{6n}$
71
79
EN
Masoomeh
Yazdani-Moghaddam
Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Kashan, Kashan, Iran
m.yazdani.m@grad.kashanu.ac.ir
Reza
Kahkeshani
Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Kashan, Kashan, Iran
kahkeshanireza@kashanu.ac.ir
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 $2n+2$.
permutation code,permutation array,remoteness,group $U_{6n}$
http://as.yazd.ac.ir/article_1057.html
http://as.yazd.ac.ir/article_1057_758aa9213fb349f92e6a2c3f83d75f99.pdf
Yazd University
Algebraic Structures and Their Applications
2382-9761
3
2
2016
11
01
The distinguishing chromatic number of bipartite graphs of girth at least six
81
87
EN
Saeid
Alikhani
Department Mathematics, Yazd University
89195-741, Yazd, Iran
alikhani@yazd.ac.ir
Samaneh
Soltani
Department Mathematics, Yazd University
89195-741, Yazd, Iran
s.soltani1979@gmail.com
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.
distinguishing number,distinguishing chromatic number,symmetry breaking
http://as.yazd.ac.ir/article_1061.html
http://as.yazd.ac.ir/article_1061_d7a2c4d97e197bfadafec3fd409da617.pdf