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Patent Foramen Ovale Closure in Neuroendocrine Prostate Cancer-Induced Hepatopulmonary Syndrome: Fruitful or Futile? [PDF]

JACC Case Rep
D'Costa ZU, Qadir N, Parikh RV, Aboulhosn JA, Li A, Shen J, Riahi I, Du AX, Yang EH.   +8 more
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Integral Closure

Integral Closure
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Axial Hysteretic Mechanical Characteristics of Wire Rope Isolators and Parameter Identification with a Novel Algebraic Closed-Form Model. [PDF]

Materials (Basel)
Mei G, He Y, Dai M, Zhou L, Yao X, Shen J, Li C.   +6 more
europepmc   +1 more source

On the integral closure of an integral domain III : (on the integral closure of a Noetherian ring of finite dim)

On the integral closure of an integral domain III : (on the integral closure of a Noetherian ring of finite dim)
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The integral closure

Lecture Notes in Mathematics, 1973
Eben Matlis, Matlis Eben
exaly   +2 more sources

On Integral Closure

Canadian Journal of Mathematics, 1954
Let J be an integral domain (i.e., a commutative ring without divisors of zero) with unit element, F its quotient field and J[x] the integral domain of polynomials with coefficients from J . The domain J is called integrally closed if every root of a monic polynomial over J which is in F also is in J.
Butts, Hubert, Hall, Marshall jun., Mann, H. B.   +2 more
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Integral closure of Noetherian rings

Proceedings of the 1997 international symposium on Symbolic and algebraic computation - ISSAC '97, 1997
After giving a proposition which reduces the problem of computing the integral closure of a general noetherian ring to the three problems: Compute a universal denominator d (element in the conductor). Compute radical of the ideal generated by d. Compute ideal quotients. We show that for the common case of affine domains, i.e. domains which are finitely
GIANNI, PATRIZIA, TRAGER B.
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INTEGRAL AND COMPLETE INTEGRAL CLOSURES OF IDEALS IN INTEGRAL DOMAINS

Journal of Algebra and Its Applications, 2011
This paper studies the integral and complete integral closures of an ideal in an integral domain. By definition, the integral closure of an ideal I of a domain R is the ideal given by I′ ≔ {x ∈ R | x satisfies an equation of the form xr + a1xr-1 + ⋯ + ar = 0, where ai ∈ Ii for each i ∈ {1, …, r}}, and the complete integral closure of I is the ideal Ī ≔
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