Universally Going-Down Rings, 1-Split Rings, and Absolute Integral Closure

DOI10.1081/AGB-120023126zbMath1082.13502MaRDI QIDQ4428209

Gabriel Picavet

Publication date: 14 September 2003

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

zbMATH Keywords

Baer ringabsolute integral closure1-split reduced ringabsolutely injective ringai-ring

Mathematics Subject Classification ID

Integral closure of commutative rings and ideals (13B22) Extension theory of commutative rings (13B02)

Related Items (10)

On strong going-between, going-down, and their universalizations. II ⋮ \(\lambda\)-presentable morphisms, injectivity and (weak) factorization systems ⋮ Maximal covers of chains of prime ideals ⋮ Ascending the divided and going-down properties by absolute flatness ⋮ Extensions of commutative rings ⋮ Quasi-Prüfer Extensions of Rings ⋮ Straight Rings ⋮ Quasi-valuations and algebras over valuation domains ⋮ Going-down implies generalized going-down ⋮ On chain morphisms of commutative rings

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