Results 91 to 100 of about 7,471 (180)

On prime spaces of neutrosophic extended triplet groups

Open Mathematics
This article aims to investigate the Zariski topology on the set of prime ideals of a weak commutative neutrosophic extended triplet group (NETG) NN, denoted by Prim(N){\rm{Prim}}\left(N).
Zhou Xin, Xin Xiao Long
doaj   +1 more source

On linear algebraic semigroups III

International Journal of Mathematics and Mathematical Sciences, 1981
Using some results on linear algebraic groups, we show that every connected linear algebraic semigroup S contains a closed, connected diagonalizable subsemigroup T with zero such that E(T) intersects each regular J-class of S.
Mohan S. Putcha
doaj   +1 more source

Abundant semigroups with a *-normal idempotent

, 2017
The notion of *-normal idempotents is introduced. The structure theorem for abundant semigroups with a *-normal idempotent is obtained. As its applications, we establish the construction theorem of naturally ordered abundant semigroups with a greatest ...
Yonglin Hou, Xiaojiang Guo, Junying Guo
core   +1 more source

On the structure of idempotent semigroups

, 1973
An idempotent semigroup (band) is a semigroup in which every element is an idempotent. We describe the structure of idempotent semigroups in terms of semilattices Ω \Omega , partial chains Ω \Omega of left zero ...
R. J. Warne
core   +1 more source

Towards a generalisation of formal concept analysis for data mining purposes [PDF]

, 2006
In this paper we justify the need for a generalisation of Formal Concept Analysis for the purpose of data mining and begin the synthesis of such theory.
Valverde Albacete, Francisco José, Peláez-Moreno, Carmen, Francisco J. Valverde-Albacete, Carmen Peláez-Moreno, Valverde-Albacete, Francisco J., Peláez Moreno, Carmen   +5 more
core   +2 more sources

Translatability and translatable semigroups

Open Mathematics, 2018
The concept of a k-translatable groupoid is explored in depth. Some properties of idempotent k-translatable groupoids, left cancellative k-translatable groupoids and left unitary k-translatablegroupoids are proved. Necessary and sufficient conditions are
Dudek Wieslaw A., Monzo Robert A. R.
doaj   +1 more source

Regular congruences on an idempotent-regular-surjective semigroup

, 2013
A semigroup $S$ is called \emph{idempotent-surjective} [\emph{regular-surjective}] if whenever $\rho$ is a congruence on $S$ and $a\rho$ is idempotent [regular] in $S/\rho$, then there is $e\in E_S\cap a\rho$ [$r\in Reg(S)\cap a\rho$], where $E_S$ [$Reg ...
Gigoń, R. S.
core   +1 more source

Fully idempotent rings have regular centroids

, 1974
We prove that the centroid of a ring all of whose ideals are idempotent is commutative and regular in the sense of von Neumann. The center of a fully idempotent ring is regular. Evidently every regular ring is fully idempotent.
R. C. Courter
core   +1 more source

Decomposition of Idempotent Operators on Hilbert C*-Modules

Mathematics
This study advances the application of the generalized Halmos’ two projections theorem to idempotent operators on Hilbert C*-modules through a comprehensive study of sums involving adjointable idempotents and their adjoints.
Wei Luo
doaj   +1 more source

The structure of idempotent residuated chains [PDF]

, 2009
summary:In this paper we study some special residuated lattices, namely, idempotent residuated chains. After giving some properties of Green's relation $\mathcal D$ on the monoid reduct of an idempotent residuated chain, we establish a structure theorem ...
Chen, Wei, Zhao, Xianzhong
core   +1 more source