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integral closure

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integral closure

[′int·ə·grəl ′klō·zhər]
(mathematics)
The integral closure of a subring A of a ring B is the set of all elements in B that are integral over A.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
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References in periodicals archive
We recall that an extension R [subset or equal to] S of a normal domain R of dimension two is called Galois if S is the integral closure of R in L, where K [subset or equal to] L is a finite Galois extension of the quotient field K of R, and R [subset or equal to] S is unramified at all prime ideals of height one.
Assume that R is a normal domain of dimension two over k, let K [subset or equal to] L be a finite Galois extension of the quotient field K of R, and let S be the integral closure of R in L.
Blowup algebras, Castelnuovo-Mumford regularity, integral closure and normality, Koszul homology, liaison theory, and reductions of ideals are some of the topics featured in the fifteen original research articles included here.
These systems are offered in various styles such as: Butt weld and closure units, barrels with integral closure and skid-mounted packages complete with valves and piping.
These systems are offered in butt weld end closure units, barrels with integral closure, or skid-mounted packages complete with valves and piping, tested and ready for use.
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