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Nanoporous BNC network on Au(111) from a borazine-based arylalkyne.
Ibarra-Barreno CM +7 more
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On the fundamental theorem of regular local rings
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Combining Local and Von Neumann Regular Rings
All rings R considered are commutative and have an identity element. Contessa called R a VNL-ring if a or 1 - a has a Von Neumann inverse whenever a ∈ R. Sample results: Every prime ideal of a VNL-ring is contained in a unique maximal ideal.
Melvin Henriksen
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Characterizations of Regular Local Rings of Characteristic p
American Journal of Mathematics, 1969exaly +2 more sources
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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Erratum to "Regular Overrings of Regular Local Rings"
Transactions of the American Mathematical Society, 1975THEOREM. Let (R, M) be an n-dimensional regular local ring, n > 1. Let x, xl, .. , xi be an R-sequence and T = R [xl/x, . . . , xi/x]. Then T is an ndimensional regular domain if and only if one of the following holds: (a) the elements x, x, ... , xi form a subset of a minimal basis for M, (b) (1) x E M2 and the elements xl, ...
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\(P\)-regular and \(P\)-local rings
2021Summary: This paper is a continuation of study rings relative to right ideal, where we study the concepts of regular and local rings relative to right ideal. We give some relations between \(P\)-local (\(P\)-regular) and local (regular) rings. New characterization obtained include necessary and sufficient conditions of a ring \(R\) to be regular, local
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