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Star operations and pullbacks
- Source :
-
Journal of Algebra . Apr2004, Vol. 274 Issue 1, p387. 35p. - Publication Year :
- 2004
-
Abstract
- In this paper we study the star operations on a pullback of integral domains. In particular, we characterize the star operations of a domain arising from a pullback of “a general type” by introducing new techniques for “projecting” and “lifting” star operations under surjective homomorphisms of integral domains. We study the transfer in a pullback (or with respect to a surjective homomorphism) of some relevant classes or distinguished properties of star operations such as <f>v−</f>, <f>t−</f>, <f>w−</f>, <f>b−</f>, <f>d−,</f> finite type, e.a.b., stable, and spectral operations. We apply part of the theory developed here to give a complete positive answer to a problem posed by D.F. Anderson in 1992 concerning the star operations on the “<f>D+M</f>” constructions. [Copyright &y& Elsevier]
- Subjects :
- *HOMOMORPHISMS
*INTEGRAL operators
*MATHEMATICS
*MATHEMATICAL functions
Subjects
Details
- Language :
- English
- ISSN :
- 00218693
- Volume :
- 274
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 12382818
- Full Text :
- https://doi.org/10.1016/j.jalgebra.2003.10.002