Divisibility in the rings of continuous functions \(C(X,F)\)

zbMATH Open0872.16026MaRDI QIDQ677737

E. M. Vechtomov

Publication date: 13 October 1997

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

zbMATH Keywords

rings of continuous functionsleast common multiplesgreatest common divisorslattices of right idealsBezout ringsfinitely generated right idealslocally compact division ringsnormed division ringstopological division ringsweak Rickart rings

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Algebraic properties of function spaces in general topology (54C40) Ideals in associative algebras (16D25) Divisibility, noncommutative UFDs (16U30) Topological fields, rings, etc. (topological aspects) (54H13) Topological and ordered rings and modules (16W80) Rings and algebras of continuous, differentiable or analytic functions (46E25) Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence (associative rings and algebras) (16P70)

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