Characterizations of Gelfand rings specially clean rings and their dual rings

DOI10.1007/S00025-020-01252-XzbMath1448.14001arXiv1803.04817OpenAlexW3042325441MaRDI QIDQ2200282

Abolfazl Tarizadeh, Mohsen Aghajani

Publication date: 19 September 2020

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.04817

zbMATH Keywords

clean ringpure idealGelfand ringflat topologymp-ringpurified ring

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Classification of affine varieties (14R05) Morphisms of commutative rings (13B10) Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem) (14R10) Relevant commutative algebra (14A05) Local rings and semilocal rings (13H99) Schemes and morphisms (14A15) General commutative ring theory (13A99)

Related Items (11)

Some results on pure ideals and trace ideals of projective modules ⋮ Reticulation of a quantale, pure elements and new transfer properties ⋮ N-pure ideals and mid rings ⋮ Unnamed Item ⋮ On purely-prime ideals with applications ⋮ Structure theory of p.p. rings and their generalizations ⋮ Stone type representations and dualities by power set ring ⋮ Structural results on harmonic rings and lessened rings ⋮ Unnamed Item ⋮ Structural results on lifting, orthogonality and finiteness of idempotents ⋮ On cleanness of von Neumann algebras

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