Results 11 to 20 of about 276,191 (223)
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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On Types of Invo Clean Rings: Review [PDF]
Al-Rafidain Journal of Computer Sciences and MathematicsIn 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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On Monochromatic Clean Condition on Certain Finite Rings
Mathematics, 2023 For a finite commutative ring R, let a,b,c∈R be fixed elements. Consider the equation ax+by=cz where x, y, and z are idempotents, units, and any element in the ring R, respectively.
Kai An Sim +3 more
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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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Strongly 2T - Clean Rings [PDF]
Al-Rafidain Journal of Computer Sciences and MathematicsAn element a in a ring R is referred to be strongly 2T-clean (2 – STC element for short), a = Ω-Λ+u, where Ω,Λ are idempotent elements and u is a unit elements of order three.
Zeina Hamady, Nazar Shuker
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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 ...
Weixing Chen
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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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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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