ASCENTS AND DESCENTS OF SEMISTAR OPERATIONS AND LOCALIZING SYSTEMS
ASCENTS AND DESCENTS OF SEMISTAR OPERATIONS AND LOCALIZING SYSTEMS
We study ascents and descents of semistar operations and localizing systems for any extension domains.
Keywords:
semistar operation localizing system,
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- D.D. Anderson and D.F. Anderson, Examples of star operations on integral domains, Comm. Algebra, 18 (1990), 1621-1643.
- M. Fontana and J. Huckaba, Localizing Systems and Semistar Operations, Non Noetherian Commutative Ring Theory, Dordrecht, Kluwer Academic Publish- ers, 2000, 169-198.
- P. Gabriel, Des Categories abeliennes, Bull. Soc. Math. France 90 (1962), 323- 448.
- E. Houston, S. Malik and J. Mott, Characterizations of ?-multiplication do- mains, Canad. Math. Bull. 27 (1984), 48-52.
- A. Okabe and R. Matsuda, Semistar-operations on integral domains, Math. J. Toyama Univ., 17 (1994), 1-21.
- A. Okabe, On polynomial ascent and descent semistar operations on an integral domain, Math. J. Ibaraki Univ., to appear.
- G. Picozza, Star operations on overrings and semistar operations, Comm. Al- gebra, 33 (2005), 2051-2073.
- G. Picozza, A note on semistar Noetherian domains, Houston J. Math., 33 (2007), 415-432. R. Matsuda 2241-42 Hori, Mito,
- Ibaraki 310-0903, JAPAN
- e-mail: rmazda@adagio.ocn.ne.jp
- ISSN: 1306-6048
- Yayın Aralığı: Yılda 2 Sayı
- Başlangıç: 2007
- Yayıncı: Abdullah HARMANCI
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