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Dynamics of Polymer Rings in Ring-Linear Blends by Neutron Spin Echo Spectroscopy. [PDF]
ACS Macro LettKruteva M +6 more
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From Latent Manifolds to Targeted Molecular Probes: An Interpretable, Kinome-Scale Generative Machine Learning Framework for Family-Based Kinase Ligand Design. [PDF]
BiomoleculesVerkhivker G, Kassab R, Krishnan K.
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Odd-even conductance oscillations in <i>meta</i>-cycloparaphenylenes. [PDF]
Sci AdvSong X +11 more
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A local characterization of Prüfer rings
, 1971 Eggert, Norman, Rutherford, Harold
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Local Rings of Rings of Quotients
Algebras and Representation Theory, 2008Let \(a\) be an element of a ring \(R\). The ring \(R_a\) that is obtained by defining on the Abelian group \((aRa,+)\) the multiplication \(axa\cdot aya=axaya\) is called the local ring of \(R\) at \(a\). This concept was introduced by K.~Meyberg in 1972 in the nonassociative context of Jordan systems.
Gómez Lozano, M. A., Siles Molina, M.
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Communications in Algebra, 1998
We characterize the exchange property for non-unital rings in terms of their local rings at elements,and we use this characterization to show that the exchange property is Morita invariant for idempotent rings.We also prove that every ring contains a greatest exchange idela(with respect to the inclusion).
Pere Ara +2 more
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We characterize the exchange property for non-unital rings in terms of their local rings at elements,and we use this characterization to show that the exchange property is Morita invariant for idempotent rings.We also prove that every ring contains a greatest exchange idela(with respect to the inclusion).
Pere Ara +2 more
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Canadian Mathematical Bulletin, 1972
The purpose of this note is to generalize a result of Gulliksen, Ribenboim and Viswanathan which characterized local group rings when both the ring and the group are commutative.We assume throughout that all rings are associative with identity. If R is a ring we call R local if R/J(R) is a division ring where J(R) denotes the Jacobson radical of R.
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The purpose of this note is to generalize a result of Gulliksen, Ribenboim and Viswanathan which characterized local group rings when both the ring and the group are commutative.We assume throughout that all rings are associative with identity. If R is a ring we call R local if R/J(R) is a division ring where J(R) denotes the Jacobson radical of R.
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PSEUDOPOLAR MATRIX RINGS OVER LOCAL RINGS
Journal of Algebra and Its Applications, 2013A ring R is called pseudopolar if for every a ∈ R there exists p2 = p ∈ R such that p ∈ comm 2(a), a + p ∈ U(R) and akp ∈ J(R) for some positive integer k. Pseudopolar rings are closely related to strongly π-regular rings, uniquely strongly clean rings, semiregular rings and strongly π-rad clean rings.
Cui, Jian, Chen, Jianlong
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