Commutativity and Completeness Degrees of Weakly Complete Hypergroups
نویسندگان
چکیده
We introduce a family of hypergroups, called weakly complete, generalizing the construction complete hypergroups. Starting from given group G, our prescribes β-classes hypergroups and allows some hyperproducts not to be parts, based on suitably defined relation over G. The commutativity degree can related that underlying group. Furthermore, in analogy commutativity, we completeness finite analyze this for terms their β-classes.
منابع مشابه
Finite groups with three relative commutativity degrees
For a finite group $G$ and a subgroup $H$ of $G$, the relative commutativity degree of $H$ in $G$, denoted by $d(H,G)$, is the probability that an element of $H$ commutes with an element of $G$. Let $mathcal{D}(G)={d(H,G):Hleq G}$ be the set of all relative commutativity degrees of subgroups of $G$. It is shown that a finite group $G$ admits three relative commutativity degrees if a...
متن کاملFUZZY GRADE OF THE COMPLETE HYPERGROUPS
This paper continues the study of the connection between hyper- groups and fuzzy sets, investigating the length of the sequence of join spaces associated with a hypergroup. The classes of complete hypergroups and of 1-hypergroups are considered and analyzed in this context. Finally, we give a method to construct a nite hypergroup with the strong fuzzy grade equal to a given natural number
متن کاملFuzzy Sets and Non Complete 1 - Hypergroups ∗
In this paper it has been studied the sequence of membership functions and of join spaces (see [7]), determined by a class of 1–hypergroups which are not complete (see [2]).
متن کاملfinite groups with three relative commutativity degrees
for a finite group $g$ and a subgroup $h$ of $g$, the relative commutativity degree of $h$ in $g$, denoted by $d(h,g)$, is the probability that an element of $h$ commutes with an element of $g$. let $mathcal{d}(g)={d(h,g):hleq g}$ be the set of all relative commutativity degrees of subgroups of $g$. it is shown that a finite group $g$ admits three relative commutativity degrees if a...
متن کاملDegrees of Weakly Computable Reals
A real α is left-recursively enumerable (left-r.e. for short) if we can effectively generate α from below. That is, the left Dedkind cut of α, L(α) = {q ∈ Q : q ≤ α}, forms a r.e. set. Equivalently, a real α is left-r.e. if it is the limit of a converging recursive increasing sequence. If we can also compute the radius of convergence effectively, then α is recursive. Left-r.e. reals are the mea...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematics
سال: 2022
ISSN: ['2227-7390']
DOI: https://doi.org/10.3390/math10060981