Results 51 to 60 of about 266 (166)

On Weakly Commutative Ordered Semigroups

open access: yesSemigroup Forum, 1998
A partially ordered semigroup \((S, \cdot, \leq)\) is ``weakly commutative'' if for all \(a,b \in S\) there exist \(x\in S\) and a nonnegative integer \(n\) such that \((ab)^n \leq bxa\). It is ``archimedean'' if for all \(a,b\in S\) there exist \(x,y\in S\) and \(m\) such that \(a^m\leq xby\). It was shown by \textit{N.
Kehayopulu, N, Tsingelis, M
openaire   +2 more sources

An introduction of F-graphs, a graph-theoretic representation of natural numbers

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1992
A special type of family graphs (F-graphs, for brevity) are introduced. These are cactus-type graphs which form infinite families under an attachment operation. Some of the characterizing properties of F-graphs are discussed.
E. J. Farrell
doaj   +1 more source

A Note on Linear Codes over Semigroup Rings

open access: yesTrends in Computational and Applied Mathematics, 2011
. In this paper, we introduced new construction techniques of BCH, alternant, Goppa, Srivastava codes through the semigroup ring B[X; 13Z0] instead of the polynomial ring B[X; Z0], where B is a finite commutative ring with identity, and for these ...
Antonio Aparecido de Andrade   +2 more
doaj   +1 more source

On Extending Commutative Semigroups of Isometries [PDF]

open access: yesBulletin of the London Mathematical Society, 1969
Peer Reviewed ; http://deepblue.lib.umich.edu/bitstream/2027.42/135310/1/blms0157 ...
openaire   +3 more sources

Security analysis of public-key cryptosystems based on matrix action problem against quantum attack

open access: yesTongxin xuebao, 2023
As a generalization of the discrete logarithm problem, semigroup action problem has important applications in the design of public-key cryptography.Public-key cryptosystems based on action problem of integer matrix semigroups on the direct product of ...
Huawei HUANG
doaj   +2 more sources

A polynomial algorithm for checking the equivalence in models of programs with commutation and vast operators

open access: yesТруды Института системного программирования РАН, 2018
In this paper we study the equivalence problem in the model of sequential programs which assumes that some instructions are commutative and absorbing. Two instructions are commutative if the result of their executions does not depend on an order of their
V. V. Podymov, V. A. Zakharov
doaj   +1 more source

Ulam’s Type Stability of Involutional-Exponential Functional Equations

open access: yesAbstract and Applied Analysis, 2014
Let S be a commutative semigroup, f,g:S→C and σ:S→S an involution. In this paper we consider the stability of involution-exponential functional equations fx+σy-gxfy≤ϕxresp.,  ϕy, |f(x+σy)-f(x)g(y)|≤ϕ(x) [resp.,  ϕ(y)] for all x,y∈S, where ϕ:S→R ...
Jaeyoung Chung
doaj   +1 more source

φ−Hilfer Fractional Cauchy Problems with Almost Sectorial and Lie Bracket Operators in Banach Algebras

open access: yesFractal and Fractional
In the theory of Banach algebras, we use the Schauder fixed-point theorem to obtain some results that concern the existence property for mild solutions of fractional Cauchy problems that involve the Lie bracket operator, the almost sectorial operator ...
Faten H. Damag   +2 more
doaj   +1 more source

The Structure of φ-Module Amenable Banach Algebras

open access: yesAbstract and Applied Analysis, 2014
We study the concept of φ-module amenability of Banach algebras, which are Banach modules over another Banach algebra with compatible actions. Also, we compare the notions of φ-amenability and φ-module amenability of Banach algebras. As a consequence, we
Mahmood Lashkarizadeh Bami   +2 more
doaj   +1 more source

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