AbstractIt is well known that if R=A [X1,…,Xn], where A is a commutative Noetherian ring, then any stably free R-module P with rank P>dim A, is free. In this note we show that if A is an arbitrary commutative ring and rank P>dimA[X1,…,Xn]−n, then P is free
Let A be a free R-algebra where R is a unital commutative ring. An ideal I in A is called a free ide...
Let A be a free R-algebra where R is a unital commutative ring. An ideal I in A is called a free ide...
We start by proving that all finitely generated projective R-modules, where R=k[x(1),...,x(n)] and k...
AbstractIt is well known that if R=A [X1,…,Xn], where A is a commutative Noetherian ring, then any s...
AbstractA finitely generated module M over a commutative ring with unit R is said to be orthogonal s...
Abstract Let A be a commutative ring and M be a projective module of rank k with n generators. Let h...
AbstractLet A be a commutative ring and M be a projective module of rank k with n generators. Let h=...
This article deals with the study of Algebra structures which will tend to finite free resolution of...
AbstractThe following theorem is proved: If R is a noetherian ring, M is a free R-module of rank n, ...
Let A be a commutative noetherian ring of Krull dimension 3. We give a necessary and sufficient cond...
AbstractLet A be a Noetherian ring of Krull dimension n containing the field of rationals. Let P be ...
AbstractLet A be a commutative noetherian ring of Krull dimension 3. We give a necessary and suffici...
AbstractA well-known result due to J.T. Stafford asserts that a stably free left module M over the W...
A well-known result due to J.T. Stafford asserts that a stably free left module M over the Weyl alge...
AbstractLet R be a ring such that every finitely generated free (respectively, every free) right R-m...
Let A be a free R-algebra where R is a unital commutative ring. An ideal I in A is called a free ide...
Let A be a free R-algebra where R is a unital commutative ring. An ideal I in A is called a free ide...
We start by proving that all finitely generated projective R-modules, where R=k[x(1),...,x(n)] and k...
AbstractIt is well known that if R=A [X1,…,Xn], where A is a commutative Noetherian ring, then any s...
AbstractA finitely generated module M over a commutative ring with unit R is said to be orthogonal s...
Abstract Let A be a commutative ring and M be a projective module of rank k with n generators. Let h...
AbstractLet A be a commutative ring and M be a projective module of rank k with n generators. Let h=...
This article deals with the study of Algebra structures which will tend to finite free resolution of...
AbstractThe following theorem is proved: If R is a noetherian ring, M is a free R-module of rank n, ...
Let A be a commutative noetherian ring of Krull dimension 3. We give a necessary and sufficient cond...
AbstractLet A be a Noetherian ring of Krull dimension n containing the field of rationals. Let P be ...
AbstractLet A be a commutative noetherian ring of Krull dimension 3. We give a necessary and suffici...
AbstractA well-known result due to J.T. Stafford asserts that a stably free left module M over the W...
A well-known result due to J.T. Stafford asserts that a stably free left module M over the Weyl alge...
AbstractLet R be a ring such that every finitely generated free (respectively, every free) right R-m...
Let A be a free R-algebra where R is a unital commutative ring. An ideal I in A is called a free ide...
Let A be a free R-algebra where R is a unital commutative ring. An ideal I in A is called a free ide...
We start by proving that all finitely generated projective R-modules, where R=k[x(1),...,x(n)] and k...
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