In this paper we consider elementary reduction of matrices over rings of almost stable range 1
AbstractThe injective stability for the general linear group modulo elementary matrices begins at on...
By a slight modification of Kaplansky\u27s argument, we find that the condition on zero-divisors can...
It is known that a regular ring has stable range one if and only if it is unit regular. The purpose ...
We study an analogue of unique factorization rings in the case of an elementary divisor domain
AbstractElementary divisor domains were defined by Kaplansky [I. Kaplansky, Elementary divisors and ...
AbstractThe main purpose of this paper is to prove the stable range 1 condition for a number of clas...
This article deals mostly with the following question: when the classical ring of quotients of a com...
AbstractElementary divisor domains were defined by Kaplansky [I. Kaplansky, Elementary divisors and ...
AbstractA ring S is said to have square stable range one (written ssr(S)=1) if aS+bS=S implies that ...
It is known that a regular ring has stable range one if and only if it is unit regular. The purpose ...
AbstractA ring S is said to have square stable range one (written ssr(S)=1) if aS+bS=S implies that ...
AbstractIt is well known that if A and B are n × m matrices over a ring R, then coker A ≅ coker B do...
AbstractWe consider the group GLnA of all invertible n by n matrices over a ring A satisfying the fi...
We investigate commutative Bezout domains in which any nonzero prime ideal is contained in a fini...
A commutative ring S with identity element 1 is called an elementary divisor ring (resp. Hermite rin...
AbstractThe injective stability for the general linear group modulo elementary matrices begins at on...
By a slight modification of Kaplansky\u27s argument, we find that the condition on zero-divisors can...
It is known that a regular ring has stable range one if and only if it is unit regular. The purpose ...
We study an analogue of unique factorization rings in the case of an elementary divisor domain
AbstractElementary divisor domains were defined by Kaplansky [I. Kaplansky, Elementary divisors and ...
AbstractThe main purpose of this paper is to prove the stable range 1 condition for a number of clas...
This article deals mostly with the following question: when the classical ring of quotients of a com...
AbstractElementary divisor domains were defined by Kaplansky [I. Kaplansky, Elementary divisors and ...
AbstractA ring S is said to have square stable range one (written ssr(S)=1) if aS+bS=S implies that ...
It is known that a regular ring has stable range one if and only if it is unit regular. The purpose ...
AbstractA ring S is said to have square stable range one (written ssr(S)=1) if aS+bS=S implies that ...
AbstractIt is well known that if A and B are n × m matrices over a ring R, then coker A ≅ coker B do...
AbstractWe consider the group GLnA of all invertible n by n matrices over a ring A satisfying the fi...
We investigate commutative Bezout domains in which any nonzero prime ideal is contained in a fini...
A commutative ring S with identity element 1 is called an elementary divisor ring (resp. Hermite rin...
AbstractThe injective stability for the general linear group modulo elementary matrices begins at on...
By a slight modification of Kaplansky\u27s argument, we find that the condition on zero-divisors can...
It is known that a regular ring has stable range one if and only if it is unit regular. The purpose ...
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