On the length of generalized fractions
NT Cuong, M Morales - Journal of Algebra, 2003 - Elsevier
Let M be a finitely generated module over a Noetherian local ring (R, m) with dimM= d. Let
(x1,…, xd) be a system of parameters of M and (n1,…, nd) a set of positive integers …
(x1,…, xd) be a system of parameters of M and (n1,…, nd) a set of positive integers …
A study of the length function of generalized fractions of modules
M Morales, PH Quy - Proceedings of the Edinburgh Mathematical …, 2017 - cambridge.org
Let be a Noetherian local ring and let M be a finitely generated R-module of dimension d.
Let be a system of parameters of M and let be a d-tuple of positive integers. In this paper we …
Let be a system of parameters of M and let be a d-tuple of positive integers. In this paper we …
Lengths of generalized fractions of modules having small polynomial type
NT Cuong, ND Minh - Mathematical Proceedings of the Cambridge …, 2000 - cambridge.org
Throughout this paper, let M be a finitely generated module over a Noether local ring
(A,[mfr]) with dim M= d. Let x=(x1,…, xd) be a system of parameters of M and n=(n1,…, nd)∈ …
(A,[mfr]) with dim M= d. Let x=(x1,…, xd) be a system of parameters of M and n=(n1,…, nd)∈ …
[PDF][PDF] Lengths of certain generalized fractions
RY Sharp, MA Hamieh - Journal of Pure and Applied Algebra, 1985 - library.navoiy-uni.uz
Throughout, let A be a (commutative Noetherian) local ring (with identity) of dimension d> 0,
having maximal ideal m. For an m-primary ideal q of A, we shall denote the multiplicity of q …
having maximal ideal m. For an m-primary ideal q of A, we shall denote the multiplicity of q …
Local cohomology and modules of generalized fractions
RY Sharp, H Zakeri - Mathematika, 1982 - cambridge.org
The purpose of this paper is to provide additional evidence to support our view that the
modules of generalized fractions introduced in [8] are worth further investigation: we show …
modules of generalized fractions introduced in [8] are worth further investigation: we show …
[HTML][HTML] Asymptotic growth of multiplicity functions
C Ciupercă - Journal of Pure and Applied Algebra, 2015 - Elsevier
We consider several multiplicity functions associated with a pair of ideals J⊆ I in a local
noetherian ring R. In particular, given an arbitrary ideal J and an element x∈ R, we show …
noetherian ring R. In particular, given an arbitrary ideal J and an element x∈ R, we show …
[HTML][HTML] The finiteness of certain sets of attached prime ideals and the length of generalized fractions
NT Cuong, M Morales - Journal of Pure and Applied Algebra, 2004 - Elsevier
We introduce the notion of strict f-sequence and apply this concept to study the finiteness of
asymptotic sets of attached prime ideals of local cohomology modules of M, to study the …
asymptotic sets of attached prime ideals of local cohomology modules of M, to study the …
Observations on the F-signature of local rings of characteristic p
Y Yao - Journal of Algebra, 2006 - Elsevier
Let (R, m, k) be a d-dimensional Noetherian reduced local ring of prime characteristic p such
that [Formula: see text] are finite over R for all e∈ N (ie R is F-finite). Consider the sequence …
that [Formula: see text] are finite over R for all e∈ N (ie R is F-finite). Consider the sequence …
Note on multiplicity
D Katz - Proceedings of the American Mathematical Society, 1988 - ams.org
Let $(R, M) $ be a local ring with infinite residue field and $ I=({x_1},\ldots,{x_d}) R $ an ideal
generated by a system of parameters. It is shown that the multiplicity of $ I $ equals the …
generated by a system of parameters. It is shown that the multiplicity of $ I $ equals the …
On the lengths of Koszul homology modules and generalized fractions
NT Cuong, ND Minh - Mathematical Proceedings of the Cambridge …, 1996 - cambridge.org
Throughout this paper, let A be a Noetherian local ring with maximal ideal m and M a finitely
generated A-module with d= dimAM≥ 1. Denote by N the set of all positive integers. Let …
generated A-module with d= dimAM≥ 1. Denote by N the set of all positive integers. Let …