@Article{Corsini2016,
author="Corsini, Piergiulio",
title="HX-hypergroups associated with the direct products of some ${\bf Z}/n {\bf Z}$",
journal="Algebraic Structures and Their Applications",
year="2016",
volume="3",
number="1",
pages="1-15",
abstract="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.",
issn="2382-9761",
doi="",
url="http://as.yazd.ac.ir/article_835.html"
}
@Article{Dorbidi2016,
author="Dorbidi, Hamid Reza",
title="A note on the order graph of a group",
journal="Algebraic Structures and Their Applications",
year="2016",
volume="3",
number="1",
pages="17-24",
abstract=" 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.",
issn="2382-9761",
doi="",
url="http://as.yazd.ac.ir/article_875.html"
}
@Article{KazemiBaneh2016,
author="Kazemi Baneh, Mohammad Zaher
and Hosseini, Seyed Naser",
title="Exact sequences of extended $d$-homology",
journal="Algebraic Structures and Their Applications",
year="2016",
volume="3",
number="1",
pages="25-38",
abstract="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.",
issn="2382-9761",
doi="",
url="http://as.yazd.ac.ir/article_886.html"
}
@Article{Taheri2016,
author="Taheri, Reza
and Tehranian, Abolfazl",
title="The principal ideal subgraph of the annihilating-ideal graph of commutative rings",
journal="Algebraic Structures and Their Applications",
year="2016",
volume="3",
number="1",
pages="39-52",
abstract="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 $\mathbb{AG}_s(R)$.",
issn="2382-9761",
doi="",
url="http://as.yazd.ac.ir/article_888.html"
}
@Article{Mohammadi2016,
author="Mohammadi, Uosef",
title="The concept of logic entropy on D-posets",
journal="Algebraic Structures and Their Applications",
year="2016",
volume="3",
number="1",
pages="53-61",
abstract="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.",
issn="2382-9761",
doi="",
url="http://as.yazd.ac.ir/article_900.html"
}