Results 1 to 10 of about 276,191 (223)
Symmetrization in Clean and Nil-Clean Rings [PDF]
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
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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
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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.
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Amalgamated rings with m-nil clean properties
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
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Left-Right Cleanness and Nil Cleanness in Unital Rings
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
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p-clean properties in amalgamated rings
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
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Graphene Rings in Magnetic Fields: Aharonov-Bohm Effect and Valley Splitting [PDF]
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
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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
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Indecomposable modules and Gelfand rings [PDF]
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
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
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