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Jan 28, 2016 - In a Hilbert space H, we consider a linear operator L with domain D(L) ... Normal extensions of formally normal operators have been studied by ...
[PS]). In this paper we show that, in fact, if a ring extends two Cohen-Macaulay rings, each by a dualizing module of the other, then this extension is Gorenstein.
Let R be a subring of the ring S, and let α ∈ S. We say that α is integral over R if α
.... xy belong to this module, they are integral over R by (2.1.4), part (3).
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May 11, 2005 - arXiv:math/0505229v1 [math.AC] 11 May 2005 .... general linear forms, then we denote by KA the submodule of M(C) annihilated by A. This has finite ... degree of any standard determinantal ideal (Theorem 3.10). Note that in [9] .... K =
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The second section is then concerned with t~linked extensions. An integral domain 8 is said to be marked over a subring A (or the extension A g B is blinked) if ...
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