Results 1 to 10 of about 257,444 (198)
Feebly r-clean ideal and feebly *-r-clean ideal
Ratio Mathematica, 2023 In this article, we introduce the concept of feebly r-clean ring and feebly ∗-r-clean ring. A ring R is defined to be feebly r-clean, if every element a can be written as a = r + e − f, where u is a regular and e, f are orthogonal idempotents and A ...
Saravanan Viswanathan
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Symmetrization in Clean and Nil-Clean Rings [PDF]
Известия 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
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Nantong 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
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On quotient clean hyperring [PDF]
Journal of Hyperstructures, 2015 In this paper, we introduce the notion of quotient Krasner hyperrings and prove that if I is a normal ideal of Krasner hyperring (R, +, ·), then quotient clean Krasner hyperring considered in [1] by Talebi et. al are just clean rings.
S. Ostadhadi-Dehkord
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Left-Right Cleanness and Nil Cleanness in Unital Rings
Известия 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
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Graphene Rings in Magnetic Fields: Aharonov-Bohm Effect and Valley Splitting [PDF]
, 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
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Science 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
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The strong nil-cleanness of semigroup rings
Open Mathematics, 2020 In this paper, we study the strong nil-cleanness of certain classes of semigroup rings. For a completely 0-simple semigroup M=ℳ0(G;I,Λ;P)M={ {\mathcal M} }^{0}(G;I,\text{Λ};P), we show that the contracted semigroup ring R0[M]{R}_{0}{[}M] is ...
Ji Yingdan
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The relationships between clean rings, r-clean rings, and f-clean rings [PDF]
AIP Conference Proceedings, 2018 Suppose R is a ring with identity. R called a regular ring if each element is a regular element. A ring R is called an r-clean ring if every element in R can be expressed as the sum of a regular element and an idempotent element. An element in the ring R is called clean if it can be expressed as the sum of a unit element and an idempotent element, so ...
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Strongly Invo. T- Clean Rings [PDF]
Al-Rafidain Journal of Computer Sciences and MathematicsIn this paper, we present the idea of a strongly invo. T-clean rings, which we define as rings with every a in R having the formula a = t + v, where t is a tripotent and v is an order two unit that commute.
Rand Alneamy, Nazar Shuker
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