Idempotent Pairs and PRINC Domains

DOI10.1007/978-3-319-38855-7_13zbMath1349.13050arXiv1412.8089OpenAlexW1796121614MaRDI QIDQ2826749

Paolo Zanardo, Giulio Peruginelli, Luigi Salce

Publication date: 18 October 2016

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.8089

zbMATH Keywords

conductorordersprincipal idealsDedekind domainsprimary decompositionprojective-free

Mathematics Subject Classification ID

Quadratic extensions (11R11) Projective and free modules and ideals in commutative rings (13C10) Integral domains (13G05) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)

Related Items (4)

Idempotent factorizations of singular 2 × 2 matrices over quadratic integer rings ⋮ PRINC domains and comaximal factorization domains ⋮ The lattice of primary ideals of orders in quadratic number fields ⋮ Factorizations into idempotent factors of matrices over Prüfer domains

Cites Work

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• Generating non-Noetherian modules efficiently
• Pole assignability and the invariant factor theorem in Prüfer domains and Dedekind domains
• Products of idempotent matrices over Hermite domains
• Unique comaximal factorization
• Products of elementary and idempotent matrices over integral domains
• Dedekind domains and rings of quotients
• On the finite generation of linear groups over Hasse domains.
• A Note on Generating Sets for Invertible Ideals
• Products of idempotent matrices

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