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Semiartinian V-Rings and Semiartinian Von Neumann Regular Rings

open access: yesJournal of Algebra, 1995
A ring \(R\) is called a right \(SV\)-ring if \(R\) is a right semiartinian ring (i.e. every nonzero right module has nonzero socle) and a right \(V\)- ring (i.e. every simple right module is injective). The paper under review presents an extensive investigation on the class of right \(SV\)- rings, which in fact form a special class of von Neumann ...
Baccella, G.
openaire   +2 more sources

Neuromorphic Photonics Circuits: Contemporary Review. [PDF]

open access: yesNanomaterials (Basel), 2023
Kutluyarov RV   +4 more
europepmc   +1 more source

K2 of von Neumann regular rings

open access: yesJournal of Pure and Applied Algebra, 1975
Dennis, R.Keith, Magid, Andy R.
openaire   +1 more source

Semisimple Rings and Von Neumann Regular Rings of Generalized Power Series

open access: yesJournal of Algebra, 1997
Let \((S,+,\leq)\) be a strictly ordered monoid and let \(R\) be a ring. The author defines the ring of generalized power series \(A=[R^{S,\leq}]\), with coefficients in \(R\) and exponents in \(S\) as the set of all functions \(f\colon S\to R\) such that \(\text{supp}(f)\) is artinian and narrow. The following main theorem is proved. Let \(R\) contain
openaire   +1 more source

Photonic elementary cellular automata for simulation of complex phenomena. [PDF]

open access: yesLight Sci Appl, 2023
Li GHY   +3 more
europepmc   +1 more source

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