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Semistar Operations and Standard Closure Operations.

Authors :
Epstein, Neil
Source :
Communications in Algebra. Jan2015, Vol. 43 Issue 1, p325-336. 12p.
Publication Year :
2015

Abstract

LetRbe a commutative ring. It is shown that there is an order isomorphism between a popular class of finite type closure operations on the ideals ofRand the poset of semistar operations of finite type. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*INTEGRAL closure
*CLOSURE operators
*FINITE groups
*ISOMORPHISM (Mathematics)
*IDEALS (Algebra)
*PARTIALLY ordered sets

Details

Language :
English
ISSN :
00927872
Volume :
43
Issue :
1
Database :
Academic Search Index
Journal :
Communications in Algebra
Publication Type :
Academic Journal
Accession number :
97316029
Full Text :
https://doi.org/10.1080/00927872.2014.897589
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