Results 11 to 20 of about 257,444 (198)
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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Rings in which elements are the sum of a nilpotent and a root of a fixed polynomial that commute
Open Mathematics, 2017 An element in a ring R with identity is said to be strongly nil clean if it is the sum of an idempotent and a nilpotent that commute, R is said to be strongly nil clean if every element of R is strongly nil clean. Let C(R) be the center of a ring R and g(
Handam Ali H., Khashan Hani A.
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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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, 2011 An element of a ring R is called clean if it is the sum of an idempotent and a unit. A ring R is called clean if each of its element is clean. An element r \in R called regular if r = ryr for some y \in R. The ring R is regular if each of its element is regular.
Ashrafi, Nahid, Nasibi, Ebrahim
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The Strongly Nil-Clean Rings Of Order Two Units [PDF]
Al-Rafidain Journal of Computer Sciences and MathematicsIf every element of a ring R is the sum of idempotent and nilpotent that commute, then the ring is said to be a strongly nil-clean. Further features of a strongly nil-clean ring are given in this paper.
Samira Toma, Nazar Shuker
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Weakly $r$-clean rings and weakly $\star$-clean rings
, 2017 14 ...
Sharma, Ajay, Basnet, Dhiren Kumar
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BIO Web of ConferencesIn this article, an element w of an associative ring R is called m-regular nil clean or m-rnc if expressed as w = am + b where am is m-regular element and b is a nilpotent element. R is named m-regular nil clean ring or m-rnc ring. If all the elements of
Mahmood Ali Sh. +1 more
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A Note on Commutative Nil-Clean Corners in Unital Rings
Известия Иркутского государственного университета: Серия "Математика", 2019 We shall prove that if $R$ is a ring with a family of orthogonal idempotents $\{e_i\}_{i=1}^n$ having sum $1$ such that each corner subring $e_iRe_i$ is commutative nil-clean, then $R$ is too nil-clean, by showing that this assertion is actually ...
P.V. Danchev
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J~#-Uc cleanness and strongly J~#-Uc cleanness of rings
Nantong Daxue xuebao. Ziran kexue banA ring R is GU_cJ if U(R)=Uc(R)+J~#(R);R is (strongly) J~#-U_c-clean ring if for any a∈R,there exists g∈Uc(R),p2=p∈R,d∈J~#(R),such that ag=p+d (and ap=pa).GU_cJ rings and J~#-U_c-clean rings are proper generalizations of GUJ rings and GJ-clean rings ...
JIN Danya; HUANG Tao; CUI Jian
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, 2010 Clean Si(111)-(7{x7) surfaces, followed by air-exposure, have been investigated by reflection high energy electron diffraction (RHEED) and scanning tunneling microscopy (STM).
Anupam Roy +52 more
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