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Indecomposable modules and Gelfand rings [PDF]
, 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
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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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Remarks on the group of unıts of a corner ring
Cumhuriyet 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
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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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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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COMMUTATIVE WEAKLY INVO–CLEAN GROUP RINGS
Ural Mathematical Journal, 2019 A ring \(R\) is called weakly invo-clean if any its element is the sum or the difference of an involution and an idempotent. For each commutative unital ring \(R\) and each abelian group \(G\), we find only in terms of \(R\), \(G\) and their sections a ...
Peter V. Danchev
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Monitoring and Risk Assessment of Polycyclic Aromatic Hydrocarbons in Mainstream Cigarette Smoke [PDF]
대한환경공학회지, 2023 Objectives Cigarette smoking is an important factor in human exposure to polycyclic aromatic hydrocarbons (PAHs). Machine-smoking methods have been devised to evaluate inhalation exposure to mainstream cigarette smoke. However, there have been only a few
In-Gyu Cho +6 more
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On Clean and Nil-Clean Symbolic 2-Plithogenic Rings [PDF]
Neutrosophic Sets and Systems, 2023 A ring is said to be clean if every element of the ring can be written as a sum of an idempotent element and a unit element of the ring and a ring is said to be nil-clean if every element of the ring can be written as a sum of an idempotent element and a
P. Prabakara, Florentin Smarandache
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Classes of Almost Clean Rings [PDF]
Algebras and Representation Theory, 2012 A ring is clean (almost clean) if each of its elements is the sum of a unit (regular element) and an idempotent. A module is clean (almost clean) if its endomorphism ring is clean (almost clean). We show that every quasi-continuous and nonsingular module is almost clean and that every right CS and right nonsingular ring is almost clean. As a corollary,
Akalan, Evrim, Vas, Lia
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