Let A be a Noetherian local ring with the maximal ideal m, and let I be an m-primary ideal in
A. This paper examines the equality on Hilbert coefficients of I first presented by Elias and …

Let a be an ideal of a commutative Noetherian ring R with identity. We study finitely
generated R-modules M whose a-finiteness and a-cohomological dimensions are equal. In …

Let $ S $ be an unramified regular local ring having mixed characteristic $ p> 0$ and $ R $
the integral closure of $ S $ in a $ p $ th root extension of its quotient field. We show that $ R …

TOPICS ON SEQUENTIALLY COHEN-MACAULAY MODULES 1. Introduction. Throughout
this paper, unless otherwise speci- fied, let R be ac Page 1 JOURNAL OF COMMUTATIVE …

Let $(R,\mathfrak {m}) $ be a local ring and $ I $ be an $\mathfrak {m} $-primary ideal such
that ${\dim _k}(I/I\mathfrak {m})= l $, where $ k= R/\mathfrak {m} $. Denote the associated …

In [4] and [5] M. Hochster introduced the notion of amiability for a system of parameters in a
local noetherian ring (see also the definition in 3). The existence of amiable systems of …

Let (A, m) be an excellent Henselian ring with isolated singularity and let R be its
completion. Then every indecomposable maximal Buchsbaum (resp. generalized Cohen …

Over a Cohen–Macaulay (CM) local ring, we characterize those modules that can be
obtained as a direct limit of finitely generated maximal CM modules. We point out two …

Throughout this paper, the word" ring" will mean" commutative,(associative,) Noetherian ring
with a non-zero multiplicative identity". In [9], I discussed the Cousin Complex, C (M), for a …

Let $(A,\mathfrak {m}) $ be a Cohen-Macaulay local ring and let $\mathrm {CM}(A) $ be the
category of maximal Cohen-Macaulay $ A $-modules. We construct $ T\colon\mathrm …