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Structure and Combinatorics on Right Groups

Mathematics
Right groups form an important bridge between group theory and semigroup theory, combining the algebraic symmetry of groups with the one-sided structure of right zero semigroups.
Aftab Hussain Shah, Dilawar Juneed Mir, Bana Al Subaiei   +2 more
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𝒩-Fuzzy Ideals in Ordered Semigroups

International Journal of Mathematics and Mathematical Sciences, 2009
We introduce the concept of 𝒩-fuzzy left (right) ideals in ordered semigroups and characterize ordered semigroups in terms of 𝒩-fuzzy left (right) ideals. We characterize left regular (right regular) and left simple (right simple) ordered
Asghar Khan, Young Bae Jun, Muhammad Shabir   +2 more
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Generalized perfect numerical semigroups [PDF]

Notes on Number Theory and Discrete Mathematics
In this work, we study the isolated gaps for generalized numerical semigroups, intro- duce generalized perfect numerical semigroups, and exemplify these semigroups.
Mohammad Zmmo, Nesrin Tutaş
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The lq-controller synthesis problem for infinite-dimensional systems in factor form [PDF]

Opuscula Mathematica, 2013
The general lq-problem with infinite time horizon for well-posed infinite-dimensional systems has been investigated by George Weiss and Martin Weiss and by Olof Staffans with a complement by Kalle Mikkola and Olof Staffans.
Piotr Grabowski
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Comparison of direct and perturbation approaches to analysis of infinite–dimensional feedback control systems

International Journal of Applied Mathematics and Computer Science, 2021
For general boundary control systems in factor form some necessary and sufficient conditions for generation of an analytic exponentially stable semigroup are proposed in both direct and perturbation forms for comparison. The direct approach is applicable
Grabowski Piotr
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On bi-Γ-ideals in Γ-semigroups [PDF]

Songklanakarin Journal of Science and Technology (SJST), 2007
In 1952, R. A. Good and D. R. Hughes introduced the notion of bi-ideals of semigroups and in 1981, the concept of Γ-semigroups was introduced by M. K. Sen. We have known that Γ-semigroups are a generalizationof semigroups. In this research, the notion of
Ronnason Chinram, Chutiporn Jirojkul
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Combinatorial Properties and Characterization of Glued Semigroups

Abstract and Applied Analysis, 2014
This work focuses on the combinatorial properties of glued semigroups and provides its combinatorial characterization. Some classical results for affine glued semigroups are generalized and some methods to obtain glued semigroups are developed.
J. I. García-García, M. A. Moreno-Frías, A. Vigneron-Tenorio   +2 more
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A deterministic algorithm for the discrete logarithm problem in a semigroup

Journal of Mathematical Cryptology, 2022
The discrete logarithm problem (DLP) in a finite group is the basis for many protocols in cryptography. The best general algorithms which solve this problem have a time complexity of O(NlogN)O\left(\sqrt{N}\log N) and a space complexity of O(N)O\left ...
Tinani Simran, Rosenthal Joachim
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Truncated Bresse-Timoshenko beam with fractional Laplacian damping [PDF]

Contributions to Mathematics, 2023
Luiz Gutemberg Rosário Miranda, Carlos Alberto Raposo, Sebastião Martins Siqueira Cordeiro   +2 more
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On Regularized Quasi-Semigroups and Evolution Equations

Abstract and Applied Analysis, 2010
We introduce the notion of regularized quasi-semigroup of bounded linear operators on Banach spaces and its infinitesimal generator, as a generalization of regularized semigroups of operators.
M. Janfada
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