2018-09-23T03:48:15Z
http://as.yazd.ac.ir/?_action=export&rf=summon&issue=197
Algebraic Structures and Their Applications
ASTA
2382-9761
2382-9761
2016
3
2
Derivations of UP-algebras by means of UP-endomorphisms
Aiyared
Iampan
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
2017
04
20
1
20
http://as.yazd.ac.ir/article_901_f422878003a1475eef8b5d834bc3679e.pdf
Algebraic Structures and Their Applications
ASTA
2382-9761
2382-9761
2016
3
2
A Note on Artinian Primes and Second Modules
Ahmad
Khaksari
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
2016
04
01
21
29
http://as.yazd.ac.ir/article_953_b2552b7859f51a9b570e841a3799b41d.pdf
Algebraic Structures and Their Applications
ASTA
2382-9761
2382-9761
2016
3
2
On some classes of expansions of ideals in $MV$-algebras
Fereshteh
Foruzesh
Mahta
Bedrood
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
2016
04
01
31
47
http://as.yazd.ac.ir/article_954_72d43e9972d37dc2a7361805371f5338.pdf
Algebraic Structures and Their Applications
ASTA
2382-9761
2382-9761
2016
3
2
A new approach to characterization of MV-algebras
Saeed
Rasouli
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
2016
04
01
49
70
http://as.yazd.ac.ir/article_955_0a544bda63302897572bdf6c822b878b.pdf
Algebraic Structures and Their Applications
ASTA
2382-9761
2382-9761
2016
3
2
The remoteness of the permutation code of the group $U_{6n}$
Masoomeh
Yazdani-Moghaddam
Reza
Kahkeshani
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 $U_{6n}$
2017
12
03
71
79
http://as.yazd.ac.ir/article_1057_758aa9213fb349f92e6a2c3f83d75f99.pdf
Algebraic Structures and Their Applications
ASTA
2382-9761
2382-9761
2016
3
2
The distinguishing chromatic number of bipartite graphs of girth at least six
Saeid
Alikhani
Samaneh
Soltani
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
2016
11
01
81
87
http://as.yazd.ac.ir/article_1061_d7a2c4d97e197bfadafec3fd409da617.pdf