|
Depth of symmetric algebras of certain ideals
Author(s):
Mark
R.
Johnson
Journal:
Proc. Amer. Math. Soc.
129
(2001),
1581-1585.
MSC (1991):
Primary 13A30, 13H10
Posted:
October 31, 2000
Retrieve article in:
PDF DVI PostScript
This article is available free of charge
Abstract |
References |
Similar articles |
Additional information
Abstract:
We compute the depth of the symmetric algebra of certain ideals in terms of the depth of the ring modulo the ideal generated by the entries of a minimal presentation matrix.
References:
-
- 1.
- J. Herzog, A. Simis and W. V. Vasconcelos, Approximation complexes of blowing-up rings II, J. Algebra 82(1983), 53-83. MR 85b:13015
- 2.
- J. Herzog, A. Simis and W. V. Vasconcelos, Koszul homology and blowing-up rings, Commutative Algebra (Trento, 1981), 79-169, Lecture Notes in Pure and Appl. Math., 84, Dekker, New York, 1983. MR 84k:13015
- 3.
- M. Johnson, Second analytic deviation one ideals and their Rees algebras, J. Pure Appl. Algebra 119(1997), 171-183. MR 98e:13005
- 4.
- M. Johnson, Linkage and sums of ideals, Trans. Amer. Math. Soc. 350(1998), 1913-1930. MR 98h:13015
- 5.
- M. Johnson and B. Ulrich, Artin-Nagata properties and Cohen-Macaulay associated graded rings, Compositio Math. 103(1996), 7-29. MR 97f:13006
- 6.
- A. Simis, B. Ulrich and W. V. Vasconcelos, Tangent Star Cones, J. Reine Angew. Math. 483 (1997), 23-59. MR 97m:14001
- 7.
- B. Ulrich, Artin-Nagata properties and reductions of ideals, Commutative algebra: syzygies, multiplicities, and birational algebra (South Hadley, MA, 1992), 373-400, Contemp. Math., 159, Amer. Math. Soc., Providence, RI, 1994. MR 95a:13017
Similar Articles:
Retrieve articles in Proceedings of the American Mathematical Society
with MSC
(1991):
13A30, 13H10
Retrieve articles in all Journals with MSC
(1991):
13A30, 13H10
Additional Information:
Mark
R.
Johnson
Affiliation:
Department of Mathematical Sciences, University of Arkansas, Fayetteville, Arkansas 72701
Email:
mark@math.uark.edu
DOI:
10.1090/S0002-9939-00-05742-7
PII:
S 0002-9939(00)05742-7
Received by editor(s):
June 17, 1999
Received by editor(s) in revised form:
September 1, 1999
Posted:
October 31, 2000
Communicated by:
Wolmer V. Vasconcelos
Copyright of article:
Copyright
2000,
American Mathematical Society
|
Comments: webmaster@ams.org