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.
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Needle recipient region should have a vent channel hydrophobic filter protected, secured integral closure which allows delivery of containers of soft and hard.
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.
It is clear, then, that a point P [epsilon] [K.sup.n] should be called an integral point if and only if all its coordinates are S-integers, and that an algebraic point P [element] [K.sup.n] should be integral if its coordinates lie in the integral closure of [O.sub.K,S] in K.
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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