Semistar invertibility on integral domains
| dc.creator | Fontana, Marco | |
| dc.creator | Picozza, Giampaolo | |
| dc.date | 2004-09-27 | |
| dc.date.accessioned | 2026-07-07T05:12:36Z | |
| dc.date.available | 2026-07-07T05:12:36Z | |
| dc.description | After the introduction in 1994, by Okabe and Matsuda, of the notion of semistar operation, many authors have investigated different aspects of this general and powerful concept. A natural development of the recent work in this area leads to investigate the concept of invertibility in the semistar setting. In this paper, we will show the existence of a ``theoretical obstruction'' for extending many results, proved for star-invertibility, to the semistar case. For this reason, we will introduce two distinct notions of invertibility in the semistar setting (called $\star$--invertibility and quasi--$\star$--invertibility), we will discuss the motivations of these ``two levels'' of invertibility and we will extend, accordingly, many classical results proved for the $d$--, $v$--, $t$-- and $w$-- invertibility. | |
| dc.identifier | https://arxiv.org/abs/math/0409514 | |
| dc.identifier | http://arxiv.org/abs/math/0409514 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/72637 | |
| dc.subject | Commutative Algebra | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 13A15; 13E99; 13C13 | |
| dc.title | Semistar invertibility on integral domains | |
| dc.type | text |