ASCENTS AND DESCENTS OF SEMISTAR OPERATIONS AND LOCALIZING SYSTEMS

Year 2010, Volume: 7 Issue: 7, 152 - 160, 01.06.2010

We study ascents and descents of semistar operations and localizing systems for any extension domains.

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

Year 2010, Volume: 7 Issue: 7, 152 - 160, 01.06.2010

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

There are 10 citations in total.

APA	Matsuda, R. (2010). ASCENTS AND DESCENTS OF SEMISTAR OPERATIONS AND LOCALIZING SYSTEMS. International Electronic Journal of Algebra, 7(7), 152-160.
AMA	Matsuda R. ASCENTS AND DESCENTS OF SEMISTAR OPERATIONS AND LOCALIZING SYSTEMS. IEJA. June 2010;7(7):152-160.
Chicago	Matsuda, Ryûki. “ASCENTS AND DESCENTS OF SEMISTAR OPERATIONS AND LOCALIZING SYSTEMS”. International Electronic Journal of Algebra 7, no. 7 (June 2010): 152-60.
EndNote	Matsuda R (June 1, 2010) ASCENTS AND DESCENTS OF SEMISTAR OPERATIONS AND LOCALIZING SYSTEMS. International Electronic Journal of Algebra 7 7 152–160.
IEEE	R. Matsuda, “ASCENTS AND DESCENTS OF SEMISTAR OPERATIONS AND LOCALIZING SYSTEMS”, IEJA, vol. 7, no. 7, pp. 152–160, 2010.
ISNAD	Matsuda, Ryûki. “ASCENTS AND DESCENTS OF SEMISTAR OPERATIONS AND LOCALIZING SYSTEMS”. International Electronic Journal of Algebra 7/7 (June 2010), 152-160.
JAMA	Matsuda R. ASCENTS AND DESCENTS OF SEMISTAR OPERATIONS AND LOCALIZING SYSTEMS. IEJA. 2010;7:152–160.
MLA	Matsuda, Ryûki. “ASCENTS AND DESCENTS OF SEMISTAR OPERATIONS AND LOCALIZING SYSTEMS”. International Electronic Journal of Algebra, vol. 7, no. 7, 2010, pp. 152-60.
Vancouver	Matsuda R. ASCENTS AND DESCENTS OF SEMISTAR OPERATIONS AND LOCALIZING SYSTEMS. IEJA. 2010;7(7):152-60.