S. Ostadhadi-Dehkordi
DepartmentofMathematics,HormozganUniversity,
[ 1 ] - m-Ary Hypervector Space: Convergent Sequences and Bundle Subsets.
In this paper, we have generalized the definition of vector space by considering the group as a canonical $m$-ary hypergroup, the field as a krasner $(m,n)$-hyperfield and considering the multiplication structure of a vector by a scalar as hyperstructure. Also we will be consider a normed $m$-ary hypervector space and introduce the concept of convergence of sequence on $m$-ary hypernormed space...
[ 2 ] - Quotient G-systems and Green\'s Relations
In this paper, we first introduce the concepts of G-systems, quotient G-systems and isomorphism theorems on G-systems of n-ary semihypergroups . Also we consider the Green's equivalences on G-systems and further in-vestigate some of their properties. A number of n-ary semihypergroups are constructed and presented as examples in this paper.
نویسندگان همکار