We prove the following results. (i) Let A be an affine algebra of dimension d >= 4 over (F) over bar (p) (with p >= d). Then all projective A-modules of rank d - 1 are cancellative. (ii) Let A be a ring of dimension d such that Ed+1(R) acts transitively on Um(d+1)(R) for every finite extension R of A. Then for any projective A-module P of rank d, E(A circle plus P) acts transitively on Um(A circle plus P). (C) 2011 Elsevier B.V. All rights reserved
We show that a formal power series ring A[[X]] over a noetherian ring A is not a projective module ...
AbstractLet Λ be a module-finite algebra over a commutative noetherian ring of Krull dimension 1. We...
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Let A be an affine algebra of dimension n over an algebraically closed field k with 1/n! is an eleme...
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Let A be a commutative Noetherian ring of dimension d and let P be a projective R = A[X(1),...,X(l),...
In this article we prove the following results: 1. A monic inversion principle on polynomial exten...
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We show that a formal power series ring A[[X]] over a noetherian ring A is not a projective module ...
AbstractLet Λ be a module-finite algebra over a commutative noetherian ring of Krull dimension 1. We...
A separative ring is one whose finitely generated projective modules satisfy the property A ⊕ A ≅ A ...
AbstractWe prove the following results. (i) Let A be an affine algebra of dimension d≥4 over F¯p (wi...
Let A be an affine algebra of dimension n over an algebraically closed field k with 1/n! is an eleme...
Let $A$ be a commutative Noetherian ring of characteristic $p>0$, such that $\dim(A)=d$. Let $P$ be ...
Let k be a C1-field of characteristic zero. Let A be an affine algebra of dimension d greater or equ...
AbstractLet k be a C1-field of characteristic zero. Let A be an affine algebra of dimension d⩾2 over...
Let A be a commutative Noetherian ring of dimension d and let P be a projective R = A[X(1),...,X(l),...
In this article we prove the following results: 1. A monic inversion principle on polynomial exten...
Dissertation (Ph.D.)--University of Kansas, Mathematics, 2007.Let A be a commutative noetherian ring...
(1) Let R be a 1-dimensional commutative Noetherian anodal ring with finite seminormalization and M ...
(1) Let R be an affine algebra over an algebraically closed field of characteristic 0 with dim(R) = ...
Assume that A and B are rings with identity and that M and N are (B,A) and (A,B) bimodules respectiv...
(1) Let R be a commutative Noetherian ring of dimension n and P a projective R[X-1,...,X-m]-module o...
We show that a formal power series ring A[[X]] over a noetherian ring A is not a projective module ...
AbstractLet Λ be a module-finite algebra over a commutative noetherian ring of Krull dimension 1. We...
A separative ring is one whose finitely generated projective modules satisfy the property A ⊕ A ≅ A ...
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