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کاربرد نوع شرط:
- جایگاه : پژوهشی
- مجله: Journal of Sciences, Islamic Republic of Iran
- نوع مقاله: Journal Article
- کلمات کلیدی: Fuzzy set,Hyperstructure,Fn -Hyperoperation,Fn -Polygroup,Regular and strongly regular relations
- چکیده:
- چکیده انگلیسی: In this paper, the notion of fuzzy n-polygroups (Fn -polygroups) is introduced and some related properties are investigated. In this regards, the concepts of normal F-subpolygroups and homomorphisms of Fn-polygroups are adopted. Also, the quotient of Fn-polygroups by defining regular relations are studied. Finally, the classical isomorphism theorems of groups are generalized to Fn-polygroups provided that the F-subpolygroups considered in them are normal.
- انتشار مقاله: 01-11-1391
- نویسندگان: B. Davvaz,B. Davvaz,B. Davvaz
- مشاهده
- جایگاه : پژوهشی
- مجله: Journal of Linear and Topological Algebra
- نوع مقاله: Journal Article
- کلمات کلیدی: polygroup,crossed module,Limit
- چکیده:
- چکیده انگلیسی: In this paper, we prove that the category of crossed polymodules (i.e. crossed modules of polygroups) and their morphisms is finitely complete. We, therefore, generalize the group theoretical case of this completeness property of crossed modules.
- انتشار مقاله: 14-05-1398
- نویسندگان: B. Davvaz,K. Emir
- مشاهده
- جایگاه : پژوهشی
- مجله: Journal of Algebraic Systems
- نوع مقاله: Journal Article
- کلمات کلیدی: derivation,differential hyperring,multiplicative hyperring
- چکیده:
- چکیده انگلیسی: There are several kinds of hyperrings, for example, Krasner
hyperrings, multiplicative hyperring, general hyperrings and
$H_v$-rings. In a multiplicative hyperring, the multiplication is
a hyperoperation, while the addition is a binary operation.
In this paper, the notion of derivation on multiplicative hyperrings is introduced and some related properties are investigated.
{bf Keywords:} multiplicative hyperring, derivation, differential hyperring.- انتشار مقاله: 31-03-1392
- نویسندگان: L. Kamali Ardekani,B. Davvaz
- مشاهده
- جایگاه : پژوهشی
- مجله: Iranian Journal of Science and Technology A:Science
- نوع مقاله: Journal Article
- کلمات کلیدی: derivation,Krasner hyperring,prime Krasner hyperring,hyperideal,differential hyperring
- چکیده:
- چکیده انگلیسی: In this paper, we introduce the notion of derivation on Krasner hyperrings as follows: the function d : R R is
a derivation on a Krasner hyperring R if for all , , Ry x ) ( ) ( = ) ( y d x d y x d and
d (x y) d (x) y x d ( y). Then, we investigate some fundamental properties of derivation on Krasner
hyperings and prime Krasner hyperrings. Also, we introduce differential Krasner hyperingsand discuss some related
properties.- انتشار مقاله: 18-03-1392
- نویسندگان: L. Kamali Ardekani,B. Davvaz
- مشاهده
- جایگاه : پژوهشی
- مجله: Iranian Journal of Science and Technology A:Science
- نوع مقاله: Journal Article
- کلمات کلیدی: strongly regular relation,Hyperring,Fundamental relation,– Hypermodule
- چکیده:
- چکیده انگلیسی: ¡V In this paper we consider a strongly regular relation ƒá on hypermodules so that the quotient is a
module (with abelian group) over a fundamental commutative ring. Also, we state necessary and sufficient
conditions so that the relation ƒá is transitive, and finally we prove that ƒá is transitive on hypermodules.- انتشار مقاله: 17-02-1386
- نویسندگان: S. M ANVARIYEH,S. MIRVAKILI,B. DAVVAZ
- مشاهده
- جایگاه : پژوهشی
- مجله: Iranian Journal of Science and Technology A:Science
- نوع مقاله: Journal Article
- کلمات کلیدی: Hypergroup,n-ary hypergroup,n-ary group,fundamental equivalence relation
- چکیده:
- چکیده انگلیسی: In this paper the class of n-ary hypergroups is introduced and several properties are found and
examples are presented. n-ary hypergroups are a generalization of hypergroups in the sense of Marty. On the
other hand, we can consider n-ary hypergroups as a good generalization of n-ary groups. We define the
fundamental relation β* on an n-ary hypergroup H as the smallest equivalence relation such that H / β* is
the n-ary group, and then some related properties are investigated.- انتشار مقاله: 13-11-1381
- نویسندگان: B. DAVVAZ,T. VOUGIOUKLIS
- مشاهده
- جایگاه : پژوهشی
- مجله: Iranian Journal of Science and Technology A:Science
- نوع مقاله: Journal Article
- کلمات کلیدی: Fundamental relation,H -ring,v H -module,direct system,direct limit,fundamental module
- چکیده:
- چکیده انگلیسی: The largest class of algebraic hyper structures satisfying the module like axioms is the v H -
module. In this paper, we consider the category of v H -modules and prove that the direct limit always
exists in this category. Direct limits are defined by a universal property, and so are unique. The most
powerful tool in order to obtain a module from a given v H - module is the quotient out procedure. To use
this method we consider the fundamental equivalence relationε * , and then prove some of the results
about the connection between the fundamental modules, direct systems and direct limits.- انتشار مقاله: 27-11-1381
- نویسندگان: M. GHADIRI,B. DAVVAZ
- مشاهده
- جایگاه : پژوهشی
- مجله: Iranian Journal of Mathematical Chemistry
- نوع مقاله: Journal Article
- کلمات کلیدی: Weak algebraic hyperstructure,Hypergroup,H_{v}-group,Chain reaction,Dismutation reaction,redox reaction
- چکیده:
- چکیده انگلیسی: The concept of weak algebraic hyperstructures or Hv-structures constitutes a generalization of the well-known algebraic hyperstructures (semihypergroup, hypergroup and so on). The overall aim of this paper is to present an introduction to some of the results, methods and ideas about chemical examples of weak algebraic hyperstructures. In this paper after an introduction of basic definitions and results about weak algebraic hyperstructures, we review: (1) Weak algebraic hyperstructures associated with chain reactions. (2) Weak algebraic hyperstructures associated with dismutation reactions (3) Weak algebraic hyperstructures associated with redox reactions.
- انتشار مقاله: 01-09-1393
- نویسندگان: B. Davvaz,B. Davvaz,B. Davvaz
- مشاهده
- جایگاه : پژوهشی
- مجله: Communications in Combinatorics and Optimization
- نوع مقاله: Journal Article
- کلمات کلیدی: Distance-degrees (of vertices),leap Zagreb indices,leap graphs
- چکیده:
- چکیده انگلیسی: In a graph G, the first and second degrees of a vertex v is equal to the
number of their first and second neighbors and are denoted by d(v/G) and
d 2 (v/G), respectively. The first, second and third leap Zagreb indices are the
sum of squares of second degrees of vertices of G, the sum of products of second degrees of pairs of adjacent vertices in G and the sum of products of first
and second degrees of vertices of G, respectively. In this paper, we initiate in studying a new class of graphs depending on the relationship between first
and second degrees of vertices and is so-called a leap graph. Some properties
of the leap graphs are presented. All leap trees and {C 3, C 4 }-free leap graphs
are characterized.- انتشار مقاله: 27-11-1397
- نویسندگان: Ahmed M Naji,B. Davvaz,Sultan S. Mahde,N.D. Soner
- مشاهده