Results 261 to 270 of about 6,232,235 (294)

Local Group Rings

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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Local rings of exchange rings

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, Miguel Gómez Lozano, Mercedes Siles Molina   +2 more
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Algebraicity in local rings

Journal of Mathematical Sciences, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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PSEUDOPOLAR MATRIX RINGS OVER LOCAL RINGS

Journal of Algebra and Its Applications, 2013
A 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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Locally Compact Rings. II.

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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On PM-rings, rings of finite character and h-local rings

Journal of Algebra and Its Applications, 2014
In this paper, we investigate the transfer of the notions of pm-rings, rings of finite character and h-local rings to trivial ring extensions of rings by modules, amalgamations of rings along ideals and pullbacks. Our aim is to provide new classes of commutative rings satisfying these properties and our results generate new families of examples of ...
Mahdou, Najib, Mimouni, Abdeslam, Moutui, M. A. S.   +2 more
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Local log-regular rings vs. toric rings [PDF]

Communications in Algebra
Local log-regular rings are a certain class of Cohen-Macaulay local rings that are treated in logarithmic geometry. Our paper aims to provide purely commutative ring theoretic proof of some ring-theoretic properties of local log-regular rings such as an ...
Ishiro, Shinnosuke
exaly   +2 more sources

ON THE HOPF ALGEBRA OF A LOCAL RING

Mathematics of the USSR-Izvestiya, 1974
The Hopf algebra TorA(k,k), where A is a local ring and k its residue class field, is studied by means of the Eilenberg-Moore spectral sequence converging to it and to a quotient algebra. It is shown that the Poincare series of A depends only on the homology structure of its Koszul complex as an algebra with Massey operations.
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Nonprefactorial Local Rings

American Journal of Mathematics, 1967
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The Neighbourhoods of a Local Ring

Journal of the London Mathematical Society, 1955
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