Rings with many idempotents

DOI10.1155/S0161171299225471zbMath0970.16004OpenAlexW2027228918MaRDI QIDQ1587813

Huanyin Chen

Publication date: 28 February 2001

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/48910

zbMATH Keywords

unitsidempotentsWhitehead groupsexchange ringsidempotent 1-stable range

Mathematics Subject Classification ID

Grothendieck groups, (K)-theory, etc. (16E20) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Units, groups of units (associative rings and algebras) (16U60) Stable range conditions (19B10)

Related Items (16)

On idempotent stable range 1 matrices ⋮ Bezout rings of stable range 1.5 ⋮ NEC rings ⋮ Commutative Bézout domains of stable range 1.5 ⋮ Rings of idempotent stable range one. ⋮ On stable range one property and strongly \(\pi\)-regular rings ⋮ Rings of square stable range one ⋮ Bézout rings with almost stable range 1 ⋮ Bounds for the number of idempotents in finite rings ⋮ USING IDEALS TO PROVIDE A UNIFIED APPROACH TO UNIQUELY CLEAN RINGS ⋮ On internally cancellable rings ⋮ Lifting properties of formal triangular matrix rings ⋮ Extensions of GM-rings ⋮ NILPOTENCY OF THE GROUP OF UNITS OF A FINITE RING ⋮ Annihilator-stability and unique generation in C(X) ⋮ ON LIFTING OF STABLE RANGE ONE ELEMENTS

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