AbstractWe prove the following results. (i) Let A be an affine algebra of dimension d≥4 over F¯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 Umd+1(R) for every finite extension R of A. Then for any projective A-module P of rank d, E(A⊕P) acts transitively on Um(A⊕P)
Let $R$ be a commutative Noetherian ring of dimension $d$, $M$ a commutative cancellative torsion-fr...
This dissertation investigates the existence of surjective and split surjective maps between modules...
Let $R$ be an affine algebra over an algebraically closed field of characteristic $0$ with dim$(R)=n...
We prove the following results. (i) Let A be an affine algebra of dimension d >= 4 over (F) over bar...
AbstractLet k be a C1-field of characteristic zero. Let A be an affine algebra of dimension d⩾2 over...
Let A be an affine algebra of dimension n over an algebraically closed field k with 1/n! is an eleme...
Let k be a C1-field of characteristic zero. Let A be an affine algebra of dimension d greater or equ...
Let $A$ be a ring of dimension $d$ containing an infinite field $k$, $T_1,\ldots,T_r$ be variables o...
Let $A$ be a commutative Noetherian ring of characteristic $p>0$, such that $\dim(A)=d$. Let $P$ be ...
AbstractLetAbe a Noetherian ring,ĨandIbe comaximal ideals ofA, andPbe a projectiveA-module. “Additio...
In this article, we establish a motivic analog of an enumeration result of James-Thomas on non-stabl...
Let $R$ be a Noetherian commutative ring of dimension $n$, $A=R[X_1,\cdots,X_m]$ be a polynomial rin...
AbstractWe consider a category whose objects consist of a module together with a finite family of su...
AbstractLet Λ be a module-finite algebra over a commutative noetherian ring of Krull dimension 1. We...
Dissertation (Ph.D.)--University of Kansas, Mathematics, 2007.Let A be a commutative noetherian ring...
Let $R$ be a commutative Noetherian ring of dimension $d$, $M$ a commutative cancellative torsion-fr...
This dissertation investigates the existence of surjective and split surjective maps between modules...
Let $R$ be an affine algebra over an algebraically closed field of characteristic $0$ with dim$(R)=n...
We prove the following results. (i) Let A be an affine algebra of dimension d >= 4 over (F) over bar...
AbstractLet k be a C1-field of characteristic zero. Let A be an affine algebra of dimension d⩾2 over...
Let A be an affine algebra of dimension n over an algebraically closed field k with 1/n! is an eleme...
Let k be a C1-field of characteristic zero. Let A be an affine algebra of dimension d greater or equ...
Let $A$ be a ring of dimension $d$ containing an infinite field $k$, $T_1,\ldots,T_r$ be variables o...
Let $A$ be a commutative Noetherian ring of characteristic $p>0$, such that $\dim(A)=d$. Let $P$ be ...
AbstractLetAbe a Noetherian ring,ĨandIbe comaximal ideals ofA, andPbe a projectiveA-module. “Additio...
In this article, we establish a motivic analog of an enumeration result of James-Thomas on non-stabl...
Let $R$ be a Noetherian commutative ring of dimension $n$, $A=R[X_1,\cdots,X_m]$ be a polynomial rin...
AbstractWe consider a category whose objects consist of a module together with a finite family of su...
AbstractLet Λ be a module-finite algebra over a commutative noetherian ring of Krull dimension 1. We...
Dissertation (Ph.D.)--University of Kansas, Mathematics, 2007.Let A be a commutative noetherian ring...
Let $R$ be a commutative Noetherian ring of dimension $d$, $M$ a commutative cancellative torsion-fr...
This dissertation investigates the existence of surjective and split surjective maps between modules...
Let $R$ be an affine algebra over an algebraically closed field of characteristic $0$ with dim$(R)=n...