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- Integral_closure_of_an_ideal abstract "In algebra, the integral closure of an ideal I of a commutative ring R, denoted by , is the set of all elements r in R that are integral over I: there exist such thatIt is similar to the integral closure of a subring. For example, if R is a domain, an element r in R belongs to if and only if there is a finitely generated R-module M, annihilated only by zero, such that . It follows that is an ideal of R (in fact, the integral closure of an ideal is always an ideal; see below.) I is said to be integrally closed if .The integral closure of an ideal appears in a theorem of Rees that characterizes an analytically unramified ring.".
- Integral_closure_of_an_ideal wikiPageExternalLink index.html.
- Integral_closure_of_an_ideal wikiPageExternalLink reesvals.pdf.
- Integral_closure_of_an_ideal wikiPageID "39944913".
- Integral_closure_of_an_ideal wikiPageRevisionID "593406836".
- Integral_closure_of_an_ideal subject Category:Algebraic_structures.
- Integral_closure_of_an_ideal subject Category:Commutative_algebra.
- Integral_closure_of_an_ideal subject Category:Ring_theory.
- Integral_closure_of_an_ideal comment "In algebra, the integral closure of an ideal I of a commutative ring R, denoted by , is the set of all elements r in R that are integral over I: there exist such thatIt is similar to the integral closure of a subring. For example, if R is a domain, an element r in R belongs to if and only if there is a finitely generated R-module M, annihilated only by zero, such that .".
- Integral_closure_of_an_ideal label "Integral closure of an ideal".
- Integral_closure_of_an_ideal sameAs m.0w7lmgj.
- Integral_closure_of_an_ideal sameAs Q17098125.
- Integral_closure_of_an_ideal sameAs Q17098125.
- Integral_closure_of_an_ideal wasDerivedFrom Integral_closure_of_an_ideal?oldid=593406836.
- Integral_closure_of_an_ideal isPrimaryTopicOf Integral_closure_of_an_ideal.