Star operations and Pullbacks
| dc.creator | Fontana, Marco | |
| dc.creator | Park, Mi Hee | |
| dc.date | 2003-11-05 | |
| dc.date.accessioned | 2026-07-07T05:02:38Z | |
| dc.date.available | 2026-07-07T05:02:38Z | |
| dc.description | 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. | |
| dc.description | to appear in J. Algebra | |
| dc.identifier | https://arxiv.org/abs/math/0311060 | |
| dc.identifier | http://arxiv.org/abs/math/0311060 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69081 | |
| dc.subject | Commutative Algebra | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 13A15; 13G05; 13C99 | |
| dc.title | Star operations and Pullbacks | |
| dc.type | text |