Results 11 to 20 of about 60,182 (167)

Weakly Clean Rings and Almost Clean Rings

Rocky Mountain Journal of Mathematics, 2006
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Ahn, Myung-Sook, Anderson, D.D.
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2-Clean Rings

Canadian Mathematical Bulletin, 2009
AbstractA ring R is said to be n-clean if every element can be written as a sum of an idempotent and n units. The class of these rings contains clean rings and n-good rings in which each element is a sum of n units. In this paper, we show that for any ring R, the endomorphism ring of a free R-module of rank at least 2 is 2-clean and that the ring B(R ...
Wang, Zhou, Chen, Jianlong
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Structural Optimization of Ring Type Oxygen Injector for Waste Incineration Research [PDF]

E3S Web of Conferences, 2023
Waste incineration is one of the most effective means to achieve harmless, reduction and resource recovery. As environmental problems become more and more prominent, increasingly stringent environmental standards will greatly limit the development of ...
Wang Ke
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Clean general rings

Journal of Algebra, 2005
By a ring the authors mean an associative ring with identity and by a general ring they mean an associative ring with or without identity. A ring is called clean (uniquely clean) if every element is (uniquely) the sum of an idempotent and a unit. This definition is extended in the paper to general rings as follows. For a general ring \(I\) and \(p,q\in
Nicholson, W.K., Zhou, Y.
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On clean, weakly clean and feebly clean commutative group rings [PDF]

Journal of Algebra and Its Applications, 2021
A ring [Formula: see text] is said to be clean if each element of [Formula: see text] can be written as the sum of a unit and an idempotent. [Formula: see text] is said to be weakly clean if each element of [Formula: see text] is either a sum or a difference of a unit and an idempotent, and [Formula: see text] is said to be feebly clean if every ...
Yuanlin Li, Qinghai Zhong
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Amalgamated rings with m-nil clean properties

Ratio 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, Selvaraj Chelliah   +1 more
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Konstruksi Ring Bersih dari Sebarang Ring

Jurnal Matematika, 2015
The aims of this research was to construct a clean ring from any ring.  The base on the fact  that the endomorphism ring of every pure-injective module is clean, it was constructed a clean ring from any ring. So, the result of this research was it always
Kartika Sari, Indah Emilia Wijayanti
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On Types of Invo Clean Rings: Review [PDF]

Al-Rafidain Journal of Computer Sciences and Mathematics
In this paper, three types of rings were reviewed: invo-clean, invo-t-clean and invo-k-clean, the ring invo-clean is invo-t-clean and invo-k-clean. Since invo-t-clean ring is invo-k-clean when k=3.
Mohammed Al-Neima, Raida Mahmood
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Strongly Invo. T- Clean Rings [PDF]

Al-Rafidain Journal of Computer Sciences and Mathematics
In 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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P‐clean rings [PDF]

International Journal of Mathematics and Mathematical Sciences, 2006
In this paper we unify the structures of various clean rings by introducing the notion of P‐clean rings. Some properties of P‐clean rings are investigated, which generalize the known results on clean rings, semiclean rings, n‐clean rings, and so forth. By the way, we answer a question of Xiao and Tong on n‐clean rings in the negative.
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