The Invaiants and Convariants of an m-ary Form
نویسنده
چکیده
This paper gives two necessary and sufficient conditions of invariants of an m-ary form and one necessary and sufficient condition of covariants of an m-ary form. By these criterions we compute some invariants and covariants of anm-ary form. At last, two examples of computing the syzygies of invairants by the characteristic set method are given.
منابع مشابه
On exact category of $(m, n)$-ary hypermodules
We introduce and study category of $(m, n)$-ary hypermodules as a generalization of the category of $(m, n)$-modules as well as the category of classical modules. Also, we study various kinds of morphisms. Especially, we characterize monomorphisms and epimorphisms in this category. We will proceed to study the fundamental relation on $(m, n)$-hypermodules, as an important tool in the study of a...
متن کاملm-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...
متن کاملApplication of fundamental relations on n-ary polygroups
The class of $n$-ary polygroups is a certain subclass of $n$-ary hypergroups, a generalization of D{"o}rnte $n$-arygroups and a generalization of polygroups. The$beta^*$-relation and the $gamma^*$-relation are the smallestequivalence relations on an $n$-ary polygroup $P$ such that$P/beta^*$ and $P/gamma^*$ are an $n$-ary group and acommutative $n$-ary group, respectively. We use the $beta^*$-...
متن کاملNEW TYPES OF FUZZY n-ARY SUBHYPERGROUPS OF AN n-ARY HYPERGROUP
In this paper, the new notions of ``belongingness ($in_{gamma}$)"and ``quasi-coincidence ($q_delta$)" of a fuzzy point with a fuzzyset are introduced. By means of this new idea, the concept of$(alpha,beta)$-fuzzy $n$-ary subhypergroup of an $n$-aryhypergroup is given, where $alpha,betain{in_{gamma}, q_{delta},in_{gamma}wedge q_{delta}, ivq}$, andit is shown that, in 16 kinds of $(alpha,beta...
متن کاملCanonical (m,n)−ary hypermodules over Krasner (m,n)−ary hyperrings
The aim of this research work is to define and characterize a new class of n-ary multialgebra that may be called canonical (m, n)&minus hypermodules. These are a generalization of canonical n-ary hypergroups, that is a generalization of hypermodules in the sense of canonical and a subclasses of (m, n)&minusary hypermodules. In addition, three isomorphism theorems of module theory and canonical ...
متن کامل