Results 1 to 10 of about 276,191 (223)

Symmetrization in Clean and Nil-Clean Rings [PDF]

open access: yesИзвестия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2020
We introduce and investigate D-clean and D-nil-clean rings as well as some other closely related symmetric versions of cleanness and nil-cleanness. A comprehensive structural characterization is given for these symmetrically clean and symmetrically nil ...
Danchev, Peter Vasilevich
doaj   +1 more source

Medium nil *-clean rings

open access: yesNantong Daxue xuebao. Ziran kexue ban, 2022
A *-ring R is called a medium *-clean ring if every element in R is the sum or difference of a nilpotent with a projection that commute. Fundamenta properties of such *-rings are obtained.
ZHANG Xixi, WU Jun
doaj   +3 more sources

Negative clean rings

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022
A ring is called negative clean if the negative (i.e., the additive inverse) of each clean element is also clean. Clean rings are negative clean.
Călugăreanu Grigore, Pop Horia F.
doaj   +1 more source

Amalgamated rings with m-nil clean properties

open access: yesRatio Mathematica, 2023
In this paper, we study the transfer of the notion of $m$-nil clean (i.e., a ring in which  every element is a sum of a nilpotent and  an $m$-potent elements) to the amalgamarted rings.
Vijayanand Venkatachalam   +1 more
doaj   +1 more source

Left-Right Cleanness and Nil Cleanness in Unital Rings

open access: yesИзвестия Иркутского государственного университета: Серия "Математика", 2019
We introduce the notions of left and right cleanness and nil cleanness in rings showing their close relationships with the classical concepts of cleanness and nil cleanness.
P. V Danchev
doaj   +1 more source

p-clean properties in amalgamated rings

open access: yesRatio Mathematica, 2023
Let A be a ring. Then A is called p-clean ring if each element in A express as the sum of an idempotent and pure element. Let f : A → B be a ring homomorphism and J be an ideal of B.
SelvaGanesh T, Selvaraj C
doaj   +1 more source

Graphene Rings in Magnetic Fields: Aharonov-Bohm Effect and Valley Splitting [PDF]

open access: yes, 2009
We study the conductance of mesoscopic graphene rings in the presence of a perpendicular magnetic field by means of numerical calculations based on a tight-binding model.
H U Baranger   +8 more
core   +2 more sources

On γ-Clean Rings

open access: yesScience Journal of University of Zakho, 2017
In this paper we introduce the concept of -clean ring and we discuss some relations between - clean ring and other rings with explaining by some examples. Also, we give some basic properties of it.
Shaimaa S. Esa, Hewa S. Faris
doaj   +1 more source

Indecomposable modules and Gelfand rings [PDF]

open access: yes, 2007
It is proved that a commutative ring is clean if and only if it is Gelfand with a totally disconnected maximal spectrum. Commutative rings for which each indecomposable module has a local endomorphism ring are studied.
Bkouche R.   +5 more
core   +3 more sources

Remarks on the group of unıts of a corner ring

open access: yesCumhuriyet Science Journal, 2021
The aim of this study is to characterize rings having the following properties for a non-trivial idempotent element e of R, U (eRe) = e + eJ(R)e = e + J (eRe) (and U (eRe) = e + N (eRe)),where U (-), N (-) and J (-) denote the group of units, the set of ...
Tülay Yıldırım
doaj   +1 more source

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