Star operations and Pullbacks

Details Star operations and Pullbacks Star operations and Pullbacks

2003-11-05

arxiv.org/abs/math/0311060v1

Mathematics

Commutative Algebra

to appear in J. Algebra

Scientific paper

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 ``$D+M$'' constructions.

Affiliated with

Also associated with

No associations

Rating

Star operations and Pullbacks does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Star operations and Pullbacks, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Star operations and Pullbacks will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-628232