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<i>Uncaria rhynchophylla</i>: an ethnopharmacological review integrating traditional Chinese medicine uses with phytochemical and pharmacological evidence. [PDF]
Front PharmacolLiu T, Ren W, Geng X, Liu C.
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Quasi-clean rings and strongly quasi-clean rings
Communications in Contemporary Mathematics, 2021An element [Formula: see text] of a ring [Formula: see text] is called a quasi-idempotent if [Formula: see text] for some central unit [Formula: see text] of [Formula: see text], or equivalently, [Formula: see text], where [Formula: see text] is a ...
Gaohua Tang, H. Su, P. Yuan
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Examples of strongly clean rings
Communications in Algebra, 2019A ring is called strongly clean if each of its elements can be written as the sum of an idempotent and a unit which commute. In this paper, we deal with two questions: first, is the center of a strongly clean ring R strongly clean, and second, is the ...
J. Šter
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Asian-European Journal of Mathematics
This study explores in depth the structure and properties of the so-called strongly[Formula: see text]-clean rings, that is a novel class of rings in which each ring element decomposes into a sum of a commuting idempotent and an element from the subset [Formula: see text] (see also [P. H. Tin and N. Q.
A. Moussavi +3 more
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This study explores in depth the structure and properties of the so-called strongly[Formula: see text]-clean rings, that is a novel class of rings in which each ring element decomposes into a sum of a commuting idempotent and an element from the subset [Formula: see text] (see also [P. H. Tin and N. Q.
A. Moussavi +3 more
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Journal of Algebra and Its Applications, 2011
A *-ring R is called a *-clean ring if every element of R is the sum of a unit and a projection, and R is called a strongly *-clean ring if every element of R is the sum of a unit and a projection that commute with each other. These concepts were introduced and discussed recently by [L.
Chunna Li, Yiqiang Zhou
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A *-ring R is called a *-clean ring if every element of R is the sum of a unit and a projection, and R is called a strongly *-clean ring if every element of R is the sum of a unit and a projection that commute with each other. These concepts were introduced and discussed recently by [L.
Chunna Li, Yiqiang Zhou
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Dedekind-Finite Strongly Clean Rings
Communications in Algebra, 2014In this article we partially answer two open questions concerning clean rings. First, we demonstrate that if a quasi-continuous module is strongly clean then it is Dedekind-finite. Second, we prove a partial converse. We also prove that all clean decompositions on submodules of continuous modules extend to the entire module.
V. Camillo, T. Dorsey, Pace P. Nielsen
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Strongly Clean Matrix Rings over a Skew Monoid Ring
Algebra Colloquium, 2023Let [Formula: see text] be a ring with an endomorphism [Formula: see text], [Formula: see text] the free monoid generated by [Formula: see text] with 0 added, and [Formula: see text] a factor of [Formula: see text] obtained by setting certain monomials ...
Arezou Karimimansoub, M. Sadeghi
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A Survey of Strongly Clean Rings
Acta Applicandae Mathematicae, 2009The author gives an account of the results on strongly clean rings. The author introduces some main results and some interesting questions on the following subjects: (1) Strongly \(\pi\)-regular rings vs strongly clean rings; (2) Clean rings vs strongly clean rings; (3) Necessary conditions for a matrix ring to be strongly clean; (4) Strongly clean ...
Xiande Yang
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Advances in Nonlinear Variational Inequalities
For any element z of a ring R is said to be Ɣ-clean if z=a+e, where a is γ-regular and e is an idempotent, further if ae=ea , the element z is called strongly Ɣ-clean. If all the elements of a ring R is Ɣ-clean (resp.
Zubaida M. Ibraheem +2 more
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For any element z of a ring R is said to be Ɣ-clean if z=a+e, where a is γ-regular and e is an idempotent, further if ae=ea , the element z is called strongly Ɣ-clean. If all the elements of a ring R is Ɣ-clean (resp.
Zubaida M. Ibraheem +2 more
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