Star operations and pullbacks
- Authors
- Fontana, Marco; Park, Mi Hee
- Issue Date
- Apr-2004
- Publisher
- ACADEMIC PRESS INC ELSEVIER SCIENCE
- Citation
- JOURNAL OF ALGEBRA, v.274, no.1, pp 387 - 421
- Pages
- 35
- Journal Title
- JOURNAL OF ALGEBRA
- Volume
- 274
- Number
- 1
- Start Page
- 387
- End Page
- 421
- URI
- https://scholarworks.bwise.kr/cau/handle/2019.sw.cau/57610
- DOI
- 10.1016/j.jalgebra.2003.10.002
- ISSN
- 0021-8693
1090-266X
- 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 v-, t-, w-, b-, d-, 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 "D + W constructions. (C) 2004 Published by Elsevier Inc.
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Collections - College of Natural Sciences > Department of Mathematics > 1. Journal Articles
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