AbstractLet R be a commutative local ring, and M the maximal ideal of R. We prove that if |R/M|>3, then every matrix in SLnR (n⩾2) is a product of at most [n/2]+2 commutators of transvections and the length [resA/2]+2 cannot be reduced for n=2
AbstractA ring R with identity is called strongly clean if every element of R is the sum of an idemp...
It is shown that a local ring R of bounded module type is an almost maximal valuation ring if there ...
Let R be a (commutative) local principal ideal ring of length two, for example, the ring R = Z/p(2)Z...
AbstractLet R be a commutative local ring, and M the maximal ideal of R. We prove that if |R/M|>3, t...
AbstractM. Newman asked whether there is an absolute constant c such that every matrix in SLnR is th...
Available in http://www.cdmathtu.edu.np/index.php?show=commutative_algebra under "Notes from FIWCCA"
AbstractLet R be a local ring and M a free module of a finite rank over R. An element τ∈AutRM is sai...
AbstractLet R be a commutative, local, and principal ideal ring with maximal ideal m and residue cla...
AbstractWe characterize commutative rings with 1 over which any n×n matrix A can be written as LUM, ...
summary:In 1950 in volume 1 of Proc. Amer. Math. Soc., B. Brown and N. McCoy showed that every (no...
AbstractWe consider the group GLnA of all invertible n by n matrices over a ring A satisfying the fi...
AbstractLet (A, m, k) denote a one dimensional, Cohen-Macaulay, local ring with maximal ideal m and ...
We consider a monomial n × n-matrix, which corresponds to a cyclic permutation of the length n, over...
AbstractWe consider the group SLnF of all n × n matrices with determinant 1 over a field. Let res A ...
AbstractLet F be a division ring and AϵGLn(F). We determine the smallest integer k such that A admit...
AbstractA ring R with identity is called strongly clean if every element of R is the sum of an idemp...
It is shown that a local ring R of bounded module type is an almost maximal valuation ring if there ...
Let R be a (commutative) local principal ideal ring of length two, for example, the ring R = Z/p(2)Z...
AbstractLet R be a commutative local ring, and M the maximal ideal of R. We prove that if |R/M|>3, t...
AbstractM. Newman asked whether there is an absolute constant c such that every matrix in SLnR is th...
Available in http://www.cdmathtu.edu.np/index.php?show=commutative_algebra under "Notes from FIWCCA"
AbstractLet R be a local ring and M a free module of a finite rank over R. An element τ∈AutRM is sai...
AbstractLet R be a commutative, local, and principal ideal ring with maximal ideal m and residue cla...
AbstractWe characterize commutative rings with 1 over which any n×n matrix A can be written as LUM, ...
summary:In 1950 in volume 1 of Proc. Amer. Math. Soc., B. Brown and N. McCoy showed that every (no...
AbstractWe consider the group GLnA of all invertible n by n matrices over a ring A satisfying the fi...
AbstractLet (A, m, k) denote a one dimensional, Cohen-Macaulay, local ring with maximal ideal m and ...
We consider a monomial n × n-matrix, which corresponds to a cyclic permutation of the length n, over...
AbstractWe consider the group SLnF of all n × n matrices with determinant 1 over a field. Let res A ...
AbstractLet F be a division ring and AϵGLn(F). We determine the smallest integer k such that A admit...
AbstractA ring R with identity is called strongly clean if every element of R is the sum of an idemp...
It is shown that a local ring R of bounded module type is an almost maximal valuation ring if there ...
Let R be a (commutative) local principal ideal ring of length two, for example, the ring R = Z/p(2)Z...
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