Results 191 to 200 of about 1,508,826 (231)
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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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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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American Journal of Mathematics, 1951
Un anneau primitif localement compact non discret de caractéristique 0 est une algèbre de dimension finie sur son centre. Même conclusion pour un anneau simple localement compact et non discret possédant des idéaux minimaux. Un théorème de l'A. sur les anneaux semi-simples localement compacts bornés est géneralisé. Part II, voir Am. J. Math. 73, 20--24
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Un anneau primitif localement compact non discret de caractéristique 0 est une algèbre de dimension finie sur son centre. Même conclusion pour un anneau simple localement compact et non discret possédant des idéaux minimaux. Un théorème de l'A. sur les anneaux semi-simples localement compacts bornés est géneralisé. Part II, voir Am. J. Math. 73, 20--24
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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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Mathematika, 1956
In the following pages there will be found an account of the properties of a certain class of local rings which are here termed semi-regular local rings . As this name will suggest, these rings share many properties in common with the more familiar regular local rings, but they form a larger class and the characteristic properties are preserved under ...
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In the following pages there will be found an account of the properties of a certain class of local rings which are here termed semi-regular local rings . As this name will suggest, these rings share many properties in common with the more familiar regular local rings, but they form a larger class and the characteristic properties are preserved under ...
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Journal of Mathematical Sciences, 2009
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Catalytic Enantioselective Ring-Opening Reactions of Cyclopropanes
Chemical Reviews, 2021Vincent Pirenne +2 more
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C–C Bond Cleavages of Cyclopropenes: Operating for Selective Ring-Opening Reactions
Chemical Reviews, 2021Ruben Vicente
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