eng
Yazd University
Algebraic Structures and Their Applications
2382-9761
2382-9761
2017-04-20
3
2
1
20
901
مقاله پژوهشی
Derivations of UP-algebras by means of UP-endomorphisms
Aiyared Iampan
aiyared.ia@up.ac.th
1
University of Phayao
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.
http://as.yazd.ac.ir/article_901_f422878003a1475eef8b5d834bc3679e.pdf
UP-algebra
UP-subalgebra
UP-ideal
$f$-derivation
eng
Yazd University
Algebraic Structures and Their Applications
2382-9761
2382-9761
2016-04-01
3
2
21
29
953
مقاله پژوهشی
A Note on Artinian Primes and Second Modules
Ahmad Khaksari
a_khaksari@pnu.ac.ir
1
Department of Mathematics, Payame Noor University, Tehran, Iran
Prime submodules and artinian prime modules are characterized. Furthermore, some previous results on prime modules and second modules are generalized.
http://as.yazd.ac.ir/article_953_b2552b7859f51a9b570e841a3799b41d.pdf
Prime submodule
Second submodule
Injective and flat module
Catenary modules
Dimension of modules
eng
Yazd University
Algebraic Structures and Their Applications
2382-9761
2382-9761
2016-04-01
3
2
31
47
954
مقاله پژوهشی
On some classes of expansions of ideals in $MV$-algebras
Fereshteh Foruzesh
1
Mahta Bedrood
bedrood.m@gmail.com
2
Faculty of Mathematics and computing, Higher Education Complex of Bam, Kerman, Iran.
Department of Mathematics , Shahid Bahonar University Kerman, Iran.
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.
http://as.yazd.ac.ir/article_954_72d43e9972d37dc2a7361805371f5338.pdf
Expansion of an ideal
sigma)-primary $
sigma)$-obstinate
$ (tau
sigma)$-Boolean
Heyting algebra
eng
Yazd University
Algebraic Structures and Their Applications
2382-9761
2382-9761
2016-04-01
3
2
49
70
955
مقاله پژوهشی
A new approach to characterization of MV-algebras
Saeed Rasouli
saeedmath@yahoo.com
1
Department of Mathematics, Persian Gulf University, Bushehr, 75169, Iran
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 $6$.
http://as.yazd.ac.ir/article_955_0a544bda63302897572bdf6c822b878b.pdf
MV-algebra
Lattice
distributive lattice
ideal
sub MV-algebra
eng
Yazd University
Algebraic Structures and Their Applications
2382-9761
2382-9761
2017-12-03
3
2
71
79
1057
مقاله پژوهشی
The remoteness of the permutation code of the group $U_{6n}$
Masoomeh Yazdani-Moghaddam
m.yazdani.m@grad.kashanu.ac.ir
1
Reza Kahkeshani
kahkeshanireza@kashanu.ac.ir
2
Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Kashan, Kashan, Iran
Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Kashan, Kashan, Iran
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 $2n+2$.
http://as.yazd.ac.ir/article_1057_758aa9213fb349f92e6a2c3f83d75f99.pdf
permutation code
permutation array
remoteness
group $U_{6n}$
eng
Yazd University
Algebraic Structures and Their Applications
2382-9761
2382-9761
2016-11-01
3
2
81
87
1061
مقاله پژوهشی
The distinguishing chromatic number of bipartite graphs of girth at least six
Saeid Alikhani
alikhani@yazd.ac.ir
1
Samaneh Soltani
s.soltani1979@gmail.com
2
Department Mathematics, Yazd University 89195-741, Yazd, Iran
Department Mathematics, Yazd University 89195-741, Yazd, Iran
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.
http://as.yazd.ac.ir/article_1061_d7a2c4d97e197bfadafec3fd409da617.pdf
distinguishing number
distinguishing chromatic number
symmetry breaking