Results 21 to 30 of about 7,471 (180)

On Extendibility of Evolution Subalgebras Generated by Idempotents

open access: yesMathematics, 2023
In the present paper, we examined the extendibility of evolution subalgebras generated by idempotents of evolution algebras. The extendibility of the isomorphism of such subalgebras to the entire algebra was investigated.
Farrukh Mukhamedov, Izzat Qaralleh
doaj   +1 more source

On Idempotent Elements [PDF]

open access: yes, 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 ...
Alaa Hammodat, Nazar Shuker
core   +1 more source

On mim-spaces

open access: yesPracì Mìžnarodnogo Geometričnogo Centru, 2015
The notion of idempotent measure is a counterpart of that of probability measure in the idempotent mathematics. In this note, we consider a metric on the set of compact, idempotent measure spaces (mim-spaces) and prove that this space is separable and ...
Viktoriya Brydun   +2 more
doaj   +1 more source

Study Some Properties of a Circulant Matrix

open access: yesTikrit Journal of Pure Science, 2023
The aim of this paper is to study the properties of idempotent, nilpotent and stability to a circulant matrix  which generated by the first row, finally we showed the relation between this properties with eigenvalues of this matrix.
Akram Salim Mohammed
doaj   +1 more source

Idempotent-generated semigroups and pseudovarieties [PDF]

open access: yes, 2011
The operator which constructs the pseudovariety generated by the idempotent-generated semigroups of a given pseudovariety is investigated. Several relevant examples of pseudovarieties generated by their idempotent- generated elements are given as well as
Almeida, Jorge   +3 more
core   +1 more source

Weak idempotent rings [PDF]

open access: yes, 2022
In  this paper is to introduce the notion of weak idempotent rings as a generalization of Boolean like rings. We obtain many formal properties of the class of weak idempotent rings and furnish certain examples of the class of weak idempotent rings ...
Abebaw, Tilahun   +7 more
core   +1 more source

WEAK IDEMPOTENT NIL-CLEAN RING [PDF]

open access: yesJournal of Algebraic Systems
We introduce the concept of a weak idempotent nil-clean ring as a generalization of a weakly nil-clean ring. We give certain characterizations for weak idempotent nil-clean rings in terms of Jacobson radical and nil radical.
Biadiglign Asmare   +2 more
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

A GRAPH WHICH RECOGNIZES IDEMPOTENTS OF A COMMUTATIVE RING [PDF]

open access: yesJournal of Algebraic Systems, 2020
In this paper we introduce and study a graph on the set of ideals of a commutative ring $R$. The vertices of this graph are non-trivial ideals of $R$ and two distinct ideals $I$ and $J$ are adjacent if and only $IJ=Icap J$.
H. Dorbidi, S. Alikhani
doaj   +1 more source

Varieties of idempotent slim groupoids [PDF]

open access: yes, 2007
summary:Idempotent slim groupoids are groupoids satisfying $xx\=x$ and $x(yz)\=xz$. We prove that the variety of idempotent slim groupoids has uncountably many subvarieties.
Ježek, J.
core   +1 more source

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