Results 1 to 10 of about 55,120 (219)

Invariant idempotent measures

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2018
The idempotent mathematics is a part of mathematics in which arithmetic operations in the reals are replaced by idempotent operations. In the idempotent mathematics, the notion of idempotent measure (Maslov measure) is a counterpart of the notion of ...
N. Mazurenko, M. Zarichnyi
doaj   +2 more sources

Weakly Idempotent Lattices and Bilattices, Non-Idempotent Plonka Functions

open access: yesDemonstratio Mathematica, 2015
In this paper, we study weakly idempotent lattices with an additional interlaced operation. We characterize interlacity of a weakly idempotent semilattice operation, using the concept of hyperidentity and prove that a weakly idempotent bilattice with an ...
Davidova D. S., Movsisyan Yu. M.
doaj   +2 more sources

Abundant semigroups with medial idempotents [PDF]

open access: yesCategories and General Algebraic Structures with Applications, 2021
The effect of the existence of a medial or related idempotent in any abundant semigroup is the subject of this paper. The aim is to naturally order any abundant semigroup $S$ which contains an ample multiplicative medial idempotent $u$ in a way that ...
Abdulsalam El-Qallali
doaj   +1 more source

On Idempotent Elements [PDF]

open access: yesAl-Rafidain Journal of Computer Sciences and Mathematics, 2009
In this paper we study idempotent elements, we give some new properties of idempotent elements and provide some exam we also study central idempotent elements and orthogonal idempotent elements and give some new properties of such idempotent ...
Nazar Shuker, Alaa Hammodat
doaj   +1 more source

Characterization of pre-idempotent Copulas

open access: yesDependence Modeling, 2023
Copulas CC for which (CtC)2=CtC{({C}^{t}C)}^{2}={C}^{t}C are called pre-idempotent copulas, of which well-studied examples are idempotent copulas and complete dependence copulas.
Chamnan Wongtawan, Sumetkijakan Songkiat
doaj   +1 more source

On Idempotent Units in Commutative Group Rings

open access: yesSakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2020
Special elements as units, which are defined utilizing idempotent elements, have a very crucial place in a commutative group ring. As a remark, we note that an element is said to be idempotent if r^2=r in a ring. For a group ring RG, idempotent units are
Ömer Küsmüş
doaj   +1 more source

On Maximal Subgroups of Free Idempotent Generated Semigroups [PDF]

open access: yes, 2011
We prove the following results: (1) Every group is a maximal subgroup of some free idempotent generated semigroup. (2) Every finitely presented group is a maximal subgroup of some free idempotent generated semigroup arising from a finite semigroup.
Gray, Robert, Ruskuc, Nik
core   +2 more sources

Idempotent structures in optimization [PDF]

open access: yes, 2001
Consider the set A = R ∪ {+∞} with the binary operations o1 = max and o2 = + and denote by An the set of vectors v = (v1,...,vn) with entries in A. Let the generalised sum u o1 v of two vectors denote the vector with entries uj o1 vj , and the product
Kolokoltsov, V. N. (Vasiliĭ Nikitich)
core   +1 more source

Geometrical properties of the space of idempotent probability measures

open access: yesApplied General Topology, 2021
Although traditional and idempotent mathematics are "parallel'', by an application of the category theory we show that objects obtained the similar rules over traditional and idempotent mathematics must not be "parallel''.
Kholsaid Fayzullayevich Kholturayev
doaj   +1 more source

Vertex and region colorings of planar idempotent divisor graphs of commutative rings.

open access: yesIraqi Journal for Computer Science and Mathematics, 2022
The idempotent divisor graph of a commutative ring R is a graph with vertices set in R* = R-{0}, and any distinct vertices x and y are adjacent if and only if x.y = e, for some non-unit idempotent element e2 = e ? R, and is denoted by ?(R).
Mohammed Authman   +2 more
doaj   +1 more source

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