In this paper, we study the transfer of notion $m$-clean ring (i.e., a in which every element is sum unit and an $m$-potent element) to amalgamated bi-amalgamated rings. We also find many sufficient necessary conditions for m-clean property Received: March 7, 2023Accepted: May 31, 2023

Hardware lock-elision (HLE) introduces concurrency into legacy lockbased code by optimistically executing critical sections in a fast-path as hardware transactions. Its main limitation is that in case of repeated aborts, it reverts to a fallback-path that acquires a serial lock. This fallback-path lacks hardwaresoftware concurrency, because all fast-path hardware transactions abort and wait for...

We introduce a new general construction, denoted by R 1 E, called the amalgamated duplication of a ring R along an R–module E, that we assume to be an ideal in some overring of R. (Note that, when E = 0, R1E coincides with the Nagata’s idealization R⋉E.) After discussing the main properties of the amalgamated duplication R 1E in relation with pullback–type constructions, we restrict our investi...

The quantitative determination of columbium based on reduction by amalgamated zin c and reox idation with potassium permanganate has, in general, produced results that lack both accuracy and precision. A study of t he various factors involved indicates that essential conditions requ ire adequate duration of reduction in t he presence of an excess of zinc and a proper concentration of both acid ...

We introduce the notion of amalgamation geometry manifolds. We show that the limit set of any surface group of amalgamated geometry is locally connected, thus giving a partial answer to a question (conjecture) raised by Cannon and Thurston, special cases of which have been obtained by Cannon and Thurston, Minsky, Klarreich and the author. The notion of amalgamated geometry includes, in a sense,...

We examine the question of when the ∗–homomorphism λ : A ∗D B → Ã ∗ D̃ B̃ of full amalgamated free product C∗–algebras, arising from compatible inclusions of C∗–algebras A ⊆ Ã, B ⊆ B̃ and D ⊆ D̃, is an embedding. Results giving sufficient conditions for λ to be injective, as well of classes of examples where λ fails to be injective, are obtained. As an application, we give necessary and sufficient ...