Results 11 to 20 of about 298 (187)

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   +2 more sources

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   +2 more sources

Right simple subsemigroups and right subgroups of compact convergence semigroups [PDF]

International Journal of Mathematics and Mathematical Sciences, 2000
Clifford and Preston (1961) showed several important characterizations of right groups. It was shown in Roy and So (1998) that, among topological semigroups, compact right simple or left cancellative semigroups are in fact right groups, and the closure ...
Phoebe Ho, Shing S. So
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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
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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
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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
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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
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DIVISIBILITY TESTS FOR SMARANDACHE SEMIGROUPS [PDF]

, 2002
Two Divisibility Tests for Smarandache semigroups are given. Further, the notion of divisibility of elements in a semigroup is applied to characterize the Smarandache semigroups.
Rao, Chandra Sekhar
core   +1 more source