Results 1 to 10 of about 145 (140)

K-theories and Free Inductive Graded Rings in Abstract Quadratic Forms Theories [PDF]

Categories and General Algebraic Structures with Applications, 2022
We build on previous work on multirings ([17]) that providesgeneralizations of the available abstract quadratic forms theories (specialgroups and real semigroups) to the context of multirings ([10], [14]).
Kaique Roberto, Hugo Mariano
doaj   +1 more source

Strong Continuity of Composition Semigroups on the Generalized Bloch Spaces of the Upper Half Plane

European Journal of Mathematical Analysis, 2023
We investigate strong continuity of composition semigroups on the generalized Bloch spaces of the upper half plane. These composition semigroups are induced by automorphisms of the upper half plane as classified into three distinct groups in [3].
K. A. Wandera, J. O. Bonyo, D. O. Ambogo
doaj   +1 more source

Higher Braid Groups and Regular Semigroups from Polyadic-Binary Correspondence

Mathematics, 2021
In this note, we first consider a ternary matrix group related to the von Neumann regular semigroups and to the Artin braid group (in an algebraic way).
Steven Duplij
doaj   +1 more source

The transitivity of primary conjugacy in regular ω-semigroups

Open Mathematics, 2022
The conjugacy relation plays an important role in group theory and the conjugacy relation of groups has been generalized to semigroups in various methods by several authors.
Liu Xin, Wang Shoufeng
doaj   +1 more source

Polyadic Analogs of Direct Product

Universe, 2022
We propose a generalization of the external direct product concept to polyadic algebraic structures which introduces novel properties in two ways: the arity of the product can differ from that of the constituents, and the elements from different ...
Steven Duplij
doaj   +1 more source

Polyadic Braid Operators and Higher Braiding Gates

Universe, 2021
A new kind of quantum gates, higher braiding gates, as matrix solutions of the polyadic braid equations (different from the generalized Yang–Baxter equations) is introduced. Such gates lead to another special multiqubit entanglement that can speed up key
Steven Duplij, Raimund Vogl
doaj   +1 more source

Cyclic Associative Groupoids (CA-Groupoids) and Cyclic Associative Neutrosophic Extended Triplet Groupoids (CA-NET-Groupoids) [PDF]

Neutrosophic Sets and Systems, 2019
Group is the basic algebraic structure describing symmetry based on associative law. In order to express more general symmetry (or variation symmetry), the concept of group is generalized in various ways, for examples, regular semigroups, generalized ...
Xiaohong Zhang, Zhirou Ma, Wangtao Yuan
doaj   +1 more source

Some properties of finite generalized-groups [PDF]

Journal of Mahani Mathematical Research
In this article, we discuss  the concept of completely simple-semigroups, which serves as a natural extension of the group structures. These semigroups, also known as generalized-groups, provide an interesting generalization beyond the realm of the ...
Nosratollah Shajareh Poursalavati
doaj   +1 more source

On groups generated by involutions of a semigroup

Journal of Algebra, 2016
An involution on a semigroup S (or any algebra with an underlying associative binary operation) is a function f:S->S that satisfies f(xy)=f(y)f(x) and f(f(x))=x for all x,y in S. The set I(S) of all such involutions on S generates a subgroup C(S)= of the symmetric group Sym(S) on the set S.
East, James (R16839), Nordahl, Thomas E.
openaire   +3 more sources

Groups that together with any transformation generate regular semigroups or idempotent generated semigroups

Journal of Algebra, 2011
Let $a$ be a non-invertible transformation of a finite set and let $G$ be a group of permutations on that same set. Then $\genset{G, a}\setminus G$ is a subsemigroup, consisting of all non-invertible transformations, in the semigroup generated by $G$ and $a$.
Araújo, J., Mitchell, J.D., Schneider, Csaba   +2 more
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