Study of Hopficity in Certain Classes of Rings

DOI10.1080/00927870008826858zbMath0952.16011OpenAlexW2047258720MaRDI QIDQ4944389

K. Varadarajan

Publication date: 8 January 2001

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927870008826858

zbMATH Keywords

idempotentsBoolean ringspolynomial ringsexchange ringsvon Neumann regular ringsHopfian ringsreduced \(\pi\)-regular rings

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Automorphisms and endomorphisms (16W20) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Related Items (4)

On maximal ideals of \(C_c(X)\) and the uniformity of its localizations ⋮ CLEAN, ALMOST CLEAN, POTENT COMMUTATIVE RINGS ⋮ On a theorem of Anderson and Chun ⋮ RING ENDOMORPHISMS WITH LARGE IMAGES

Cites Work

• Unnamed Item
• Unnamed Item
• On rings whose projective modules have the exchange property
• Hopfian and co-Hopfian objects
• Isomorphic polynomial rings
• On the uniqueness of the coefficient ring in a polynomial ring

This page was built for publication: Study of Hopficity in Certain Classes of Rings