Results 11 to 20 of about 145 (40)

Comultiplication on monoids

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 20, Issue 4, Page 803-811, 1997., 1997
A comultiplication on a monoid S is a homomorphism m : S → S∗S (the free product of S with itself) whose composition with each projection is the identity homomorphism. We investigate how the existence of a comultiplication on S restricts the structure of S.
Martin Arkowitz, Mauricio Gutierrez
wiley   +1 more source

A note on Quasi and Bi‐ideals in Ternary semigroups

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 18, Issue 3, Page 501-508, 1995., 1993
In this paper we have studied the properties of Quasi‐ideals and Bi‐ideals in ternary semi groups. We prove that every quasi‐ideal is a bi‐ideal in T but the converse is not true in general by giving several example in different context.
V. N. Dixit, Sarita Dewan
wiley   +1 more source

On the semi‐sub‐hypergroups of a hypergroup

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 14, Issue 2, Page 293-304, 1991., 1989
In this paper we study some properties of the semi‐sub‐hypergroups and the closed sub‐hypergroups of the hypergroups. We introduce the correlated elements and the fundamental elements and we connect the concept antipodal of the latter with Frattin′s hypergroup. We also present Helly′s Theorem as a corollary of a more general Theorem.
Ch. G. Massouros
wiley   +1 more source

Augmented, free and tensor generalized digroups

open access: yesOpen Mathematics, 2019
The concept of generalized digroup was proposed by Salazar-Díaz, Velásquez and Wills-Toro in their paper “Generalized digroups” as a non trivial extension of groups.
Rodríguez-Nieto José Gregorio   +2 more
doaj   +1 more source

CENTRAL TORSION UNITS OF INTEGRAL REALITY-BASED ALGEBRAS WITH A POSITIVE DEGREE MAP

open access: yes, 2017
A reality-based algebra (RBA) is a finite-dimensional associative algebra that has a distinguished basis B containing 1A, where 1A is the identity element of A, that is closed under a pseudo-inverse condition.
A. Herman, Gurmail Singh
semanticscholar   +1 more source

On an extension of the notion of Reedy category [PDF]

open access: yes, 2008
We extend the classical notion of a Reedy category so as to allow non-trivial automorphisms. Our extension includes many important examples occuring in topology such as Segal's category Gamma, or the total category of a crossed simplicial group such as ...
Clemens Berger   +3 more
core   +6 more sources

Application of (m, n)-Г-Hyperideals in Characterization of LA-Г-Semihypergroups

open access: yesDiscussiones Mathematicae - General Algebra and Applications, 2019
In this paper, we study the concept of ordered (m, n)-Г-hyperideals in an ordered LA-Г-semihypergroup. We show that if (S, Г, ◦,⩽) is a unitary ordered LA-Г-semihypergroup with zero 0 and satisfies the hypothesis that it contains no non-zero nilpotent (m,
Basar Abul
doaj   +1 more source

The L^p-Fourier transform on locally compact quantum groups [PDF]

open access: yes, 2010
Using interpolation properties of non-commutative L^p-spaces associated with an arbitrary von Neumann algebra, we define a L^p-Fourier transform 1
Caspers, Martijn
core   +4 more sources

(∈γ, ∈γ ∨qδ)-fuzzy right ideals of Intra-Regular Abel Grassmann’s-Groupoids

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014
In this paper, we introduce (∈γ, ∈γ ∨qδ)-fuzzy right ideals in an AG-groupoid. We characterize intra-regular AG-groupoids using the properties of (∈γ, ∈γ ∨qδ)-fuzzy subsets and (∈γ, ∈γ ∨qδ)-fuzzy right ideals.
Khan Madad   +2 more
doaj   +1 more source

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