1 citations · 1 across the 7 of their papers we have counts for
7 papers
Local Cohomology of Module of Differentials of Integral Extensions II
S. P. Dutta
In this note () denotes a complete regular local ring and mostly denotes its absolute integral closure. The four objectives of this paper are the following: i) to determi…
Local Cohomology of Module of Differentials of integral extensions
S. P. Dutta
The main focus of this paper is on determining the highest non-vanishing local cohomology modules of Ω_(B/R), Ω_(B/V)(Ω_(B/k)) where R is either a complete regular local ring or a…
Descent of Flatness and the Direct Summand Conjecture
S. P. Dutta
In the central theorem of this article we prove the following: if is a complete regular local ring and is the integral closure of in the algebraic closure of the fracti…
The Monomial Conjecture and order ideals II
S. P. Dutta
Let be an ideal of height in a regular local ring of dimension and let denote the canonical module of . In this paper we first prove the equivale…
On Modules of Finite Projective Dimension
Sankar P. Dutta
We address two aspects of finitely generated modules of finite projective dimension over local rings and their connection in between: embeddability and grade of order ideals of min…
On a Consequence of the Order Ideal Conjecture
Sankar P. Dutta
Given a minimal set of generators of an ideal of height d in a regular local ring () we prove several cases for which the map $K_d(\bold{x}; R) \otimes k \t…