AbstractThe ring B(R) of all ω×ω row-and-column-finite matrices over any (unital) von Neumann regular ring R is shown to be an exchange ring. More generally, the same is true of the multiplier ring of a non-unital regular ring with a countable unit
summary:In this paper, we introduce related comparability for exchange ideals. Let $I$ be an exchang...
summary:An exchange ring $R$ is strongly separative provided that for all finitely generated projec...
summary:We characterize exchange rings having stable range one. An exchange ring $R$ has stable rang...
AbstractThe ring B(R) of all ω×ω row-and-column-finite matrices over any (unital) von Neumann regula...
AbstractWe prove that a square-free module with finite exchange has full exchange. More generally, i...
AbstractA ring R is called to be exchange if the right regular module RR has finite exchange propert...
summary:Let $R$ be an exchange ring in which all regular elements are one-sided unit-regular. Then e...
AbstractWe define non-unital exchange rings and we prove that ifIis an ideal of a ringR, thenRis an ...
A ring R satisfies Goodearl-Menal condition provided that for any x,y R, there exists a u U(R) such ...
AbstractSquare matrices are shown to be diagonalizable over all known classes of (von Neumann) regul...
AbstractWe prove that, for every regular ring R, there exists an isomorphism between the monoids of ...
Abstract. A direct ring-theoretic proof for ”if R is a ring, e is an idempotent and eRe and (1-e)R(1...
We prove that a ring R is exchange 2-UU if, and only if, J(R) is nil and R/J(R)≅B×C, where B is a Bo...
AbstractAn associative ring R with identity is called an exchange ring if RR has the exchange proper...
In this paper, we investigate the related comparability over exchange rings. It is shown that an exc...
summary:In this paper, we introduce related comparability for exchange ideals. Let $I$ be an exchang...
summary:An exchange ring $R$ is strongly separative provided that for all finitely generated projec...
summary:We characterize exchange rings having stable range one. An exchange ring $R$ has stable rang...
AbstractThe ring B(R) of all ω×ω row-and-column-finite matrices over any (unital) von Neumann regula...
AbstractWe prove that a square-free module with finite exchange has full exchange. More generally, i...
AbstractA ring R is called to be exchange if the right regular module RR has finite exchange propert...
summary:Let $R$ be an exchange ring in which all regular elements are one-sided unit-regular. Then e...
AbstractWe define non-unital exchange rings and we prove that ifIis an ideal of a ringR, thenRis an ...
A ring R satisfies Goodearl-Menal condition provided that for any x,y R, there exists a u U(R) such ...
AbstractSquare matrices are shown to be diagonalizable over all known classes of (von Neumann) regul...
AbstractWe prove that, for every regular ring R, there exists an isomorphism between the monoids of ...
Abstract. A direct ring-theoretic proof for ”if R is a ring, e is an idempotent and eRe and (1-e)R(1...
We prove that a ring R is exchange 2-UU if, and only if, J(R) is nil and R/J(R)≅B×C, where B is a Bo...
AbstractAn associative ring R with identity is called an exchange ring if RR has the exchange proper...
In this paper, we investigate the related comparability over exchange rings. It is shown that an exc...
summary:In this paper, we introduce related comparability for exchange ideals. Let $I$ be an exchang...
summary:An exchange ring $R$ is strongly separative provided that for all finitely generated projec...
summary:We characterize exchange rings having stable range one. An exchange ring $R$ has stable rang...
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