Torsion in K0 of unit-regular rings
From MaRDI portal
Publication:4837763
DOI10.1017/S0013091500019118zbMath0821.16008MaRDI QIDQ4837763
Publication date: 28 September 1995
Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)
finitely generated projective modulesvon Neumann regular ringsunit-regular ringscountable torsion Abelian groupsstrictly unperforatedtorsion in \(K_ 0\)
Free, projective, and flat modules and ideals in associative algebras (16D40) Grothendieck groups, (K)-theory, etc. (16E20) (K_0) of other rings (19A49) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50) Stability for projective modules (19A13)
Related Items
Further Results on K0-Groups with Ordered Structure, Cancellation of projective modules over regular rings with comparability, On von Neumann regular rings with weak comparability., Von Neumann regular rings satisfying weak comparability., Convexity of Torsion Subgroups inK0Groups and Dimension Group Properties ofK0of Pullbacks, On the representation of simple riesz groups, On Regular Rings Satisfying Almost Comparability, Boolean Algebras, Generalized Abelian Rings, and Grothendieck Groups, \(K_0\)-like constructions for almost completely decomposable groups, Separative cancellation for projective modules over exchange rings, ON THE WEAK GROTHENDIECK GROUP OF A BEZOUT RING, Regular Rings Satisfying Generalized Almost Comparability, REGULAR RINGS WITH COMPARABILITY AND SOME RELATED PROPERTIES
Cites Work
- Aleph-nought-continuous regular rings
- Stable range one for rings with many units
- On regular subdirect products of simple Artinian rings
- Directly finite aleph-nought-continuous regular rings
- On regular rings with stable range 2
- Simple regular rings satisfying weak comparability
- Rank functions and \(K_0\) of regular rings
- Notes on a class of simple \(C^*\)-algebras with real rank zero
- Free and residually artinian regular rings
- Rational \(C^*\)-algebras and nonstable K-theory
- Directed Abelian Groups, Countably Continuous Rings, and Rickart C* -Algebras
- Metrically Complete Regular Rings
