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Length Functions on Integral Domains
Proceedings of the American Mathematical Society, 1991Let R R be an integral domain and
Anderson, David F., Pruis, Paula
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INTEGRAL AND COMPLETE INTEGRAL CLOSURES OF IDEALS IN INTEGRAL DOMAINS
Journal of Algebra and Its Applications, 2011This 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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Integral domains with almost integral proper overrings
Archiv der Mathematik, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Factoring Ideals in Integral Domains
2013A classical generalization of the Fundamental Theorem of Arithmetic states that an integral domain is a principal ideal domain if and only if each of its proper ideals can be factored as a finite product of principal prime ideals. If the “principal” restriction is removed, one has a characterization of (nontrivial) Dedekind domains. The purpose of this
FONTANA, Marco +2 more
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Commentarii mathematici Universitatis Sancti Pauli = Rikkyo Daigaku sugaku zasshi, 1983
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A comparison of domain integral evaluation techniques for boundary element methods
International Journal for Numerical Methods in Engineering, 2001Marc S Ingber
exaly