منابع مشابه
Reflexive–EP elements in rings
We define and characterize reflexive–EP elements in rings, that is elements which commute with their image-kernel (p, q)-inverse.
متن کاملStrongly nil-clean corner rings
We show that if $R$ is a ring with an arbitrary idempotent $e$ such that $eRe$ and $(1-e)R(1-e)$ are both strongly nil-clean rings, then $R/J(R)$ is nil-clean. In particular, under certain additional circumstances, $R$ is also nil-clean. These results somewhat improves on achievements due to Diesl in J. Algebra (2013) and to Koc{s}an-Wang-Zhou in J. Pure Appl. Algebra (2016). ...
متن کاملRings in which elements are the sum of an idempotent and a regular element
Let R be an associative ring with unity. An element a in R is said to be r-clean if a = e+r, where e is an idempotent and r is a regular (von Neumann) element in R. If every element of R is r-clean, then R is called an r-clean ring. In this paper, we prove that the concepts of clean ring and r-clean ring are equivalent for abelian rings. Further we prove that if 0 and 1 are the only idempotents...
متن کاملEla Partial Isometries and Ep Elements in Rings with Involution∗
∗Received by the editors June 1, 2009. Accepted for publication November 12, 2009. Handling Editor: Michael J. Tsatsomeros. †Faculty of Sciences and Mathematics, University of Nǐs, P.O. Box 224, 18000 Nǐs, Serbia ([email protected], [email protected]). Supported by the Ministry of Science, Republic of Serbia, grant no. 144003. Electronic Journal of Linear Algebra ISSN 1081-3810 A publication of the In...
متن کاملPartial isometries and EP elements in rings with involution
If R is a ring with involution, and a† is the Moore-Penrose inverse of a ∈ R, then the element a is called: EP, if aa† = a†a; partial isometry, if a∗ = a†; star-dagger, if a∗a† = a†a∗. In this paper, characterizations of partial isometries, EP elements and star-dagger elements in rings with involution are given. Thus, some well-known results are extended to more general settings.
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ژورنال
عنوان ژورنال: Filomat
سال: 2018
ISSN: 0354-5180,2406-0933
DOI: 10.2298/fil1801117y