Distributive rings of continuous functions and F-spaces

DOI10.1007/BF01140340zbMath0545.46017MaRDI QIDQ797101

E. M. Vechtomov

Publication date: 1983

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

distributive latticeBezout ringF-spaceBezout moduleE-cozero setEF-spacerings of continuous functions with values in topological rings or fieldsset of zeros

Mathematics Subject Classification ID

Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25) Topological and ordered rings and modules (16W80) Rings and algebras of continuous, differentiable or analytic functions (46E25)

Related Items (9)

Constructible sheaves on schemes ⋮ The principal kernels of semifields of continuous positive functions ⋮ Endomorphism rings, power series rings, and serial modules ⋮ Arithmetical rings ⋮ Unnamed Item ⋮ Semirings of continuous \((0,\infty\)-valued functions] ⋮ Semidistributive modules ⋮ Distributive semigroup rings and related topics ⋮ Distributive modules and rings and their close analogs

Cites Work

• Module of all functions over the ring of continuous functions
• Rings of Continuous Functions in Which Every Finitely Generated Ideal is Principal
• Direct Products of Modules
• Rings of Continuous Functions with Values in a Topological Field
• Unnamed Item
• Unnamed Item
• Unnamed Item

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