2018-06-21T09:19:19Z
http://as.yazd.ac.ir/?_action=export&rf=summon&issue=189
Algebraic Structures and Their Applications
ASTA
2382-9761
2382-9761
2016
3
1
HX-hypergroups associated with the direct products of some ${bf Z}/n {bf Z}$
Piergiulio
Corsini
One studies the $HX$-hypergroups, corresponding to the Chinese hypergroups associated with the direct products of some ${bf Z}/n {bf Z},$ calculating their fuzzy grades.
$HX$-group
Fuzzy grade
2016
02
01
1
15
http://as.yazd.ac.ir/article_835_1f23c85a508ef75b7ad85d4301624c32.pdf
Algebraic Structures and Their Applications
ASTA
2382-9761
2382-9761
2016
3
1
A note on the order graph of a group
Hamid Reza
Dorbidi
The order graph of a group $G$, denoted by $Gamma^*(G)$, is a graph whose vertices are subgroups of $G$ and two distinct vertices $H$ and $K$ are adjacent if and only if $|H|big{|}|K|$ or $|K|big{|}|H|$. In this paper, we study the connectivity and diameter of this graph. Also we give a relation between the order graph and prime graph of a group.
Connected graph
Frobenius group
Order graph
Prime graph
2016
02
01
17
24
http://as.yazd.ac.ir/article_875_0edfd6e49270d69dbf1f6ea8948e0b59.pdf
Algebraic Structures and Their Applications
ASTA
2382-9761
2382-9761
2016
3
1
Exact sequences of extended $d$-homology
Mohammad Zaher
Kazemi Baneh
Seyed Naser
Hosseini
In this article, we show the existence of certain exact sequences with respect to two homology theories, called d-homology and extended d-homology. We present sufficient conditions for the existence of long exact extended d- homology sequence. Also we give some illustrative examples.
kernel
image
abelian category
standard homology
(extended) d-homology
exact sequence
2016
02
01
25
38
http://as.yazd.ac.ir/article_886_e041c7772dac1fb8eb2e2a396ea1a011.pdf
Algebraic Structures and Their Applications
ASTA
2382-9761
2382-9761
2016
3
1
The principal ideal subgraph of the annihilating-ideal graph of commutative rings
Reza
Taheri
Abolfazl
Tehranian
Let $R$ be a commutative ring with identity and $mathbb{A}(R)$ be the set of ideals of $R$ with non-zero annihilators. In this paper, we first introduce and investigate the principal ideal subgraph of the annihilating-ideal graph of $R$, denoted by $mathbb{AG}_P(R)$. It is a (undirected) graph with vertices $mathbb{A}_P(R)=mathbb{A}(R)cap mathbb{P}(R)setminus {(0)}$, where $mathbb{P}(R)$ is the set of proper principal ideals of $R$ and two distinct vertices $I$ and $J$ are adjacent if and only if $IJ=(0)$. Then, we study some basic properties of $mathbb{AG}_P(R)$. For instance, we characterize rings for which $mathbb{AG}_P(R)$ is finite graph, complete graph, bipartite graph or star graph. Also, we study diameter and girth of $mathbb{AG}_P(R)$. Finally, we compare the principal ideal subgraph $mathbb{AG}_P(R)$ and spectrum subgraph $mathbb{AG}_s(R)$.
commutative rings
annihilating-ideal
principal ideal
graph
2016
02
01
39
52
http://as.yazd.ac.ir/article_888_2d482e44ddd64c95a532eea7ca73b7f8.pdf
Algebraic Structures and Their Applications
ASTA
2382-9761
2382-9761
2016
3
1
The concept of logic entropy on D-posets
Uosef
Mohammadi
In this paper, a new invariant called {it logic entropy} for dynamical systems on a D-poset is introduced. Also, the {it conditional logical entropy} is defined and then some of its properties are studied. The invariance of the {it logic entropy} of a system under isomorphism is proved. At the end, the notion of an $ m $-generator of a dynamical system is introduced and a version of the Kolmogorov-Sinai theorem is given.
D-poset
logic entropy
dynamical system
isomorphism
$ m $-generator
2016
02
01
53
61
http://as.yazd.ac.ir/article_900_22873ec50d4c1ad74a344a74ff1e040d.pdf