Polycyclic group rings whose principal ideals are projective

DOI10.1006/JABR.2000.8415zbMath0972.16013OpenAlexW2072452863MaRDI QIDQ5925818

Behn, Antonio

Publication date: 22 July 2001

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

Full work available at URL: https://doi.org/10.1006/jabr.2000.8415

zbMATH Keywords

CS-ringsdomainspolycyclic-by-finite groupsPP-ringsprime group algebrasprincipal right ideals

Mathematics Subject Classification ID

Free, projective, and flat modules and ideals in associative algebras (16D40) Prime and semiprime associative rings (16N60) Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Generalizations of solvable and nilpotent groups (20F19)

Related Items (4)

Semiprime CS group algebra of polycyclic-by-finite group without domains as summands is hereditary. ⋮ CS matrix rings over local rings ⋮ Triangular matrix representations of ring extensions. ⋮ Group algebras of free products of finite groups which are CS-rings

Cites Work

• RINGS IN WHICH EVERY COMPLEMENT RIGHT IDEAL IS A DIRECT SUMMAND
• Observations on group rings
• $KD_\infty $ is a CS-algebra
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