scientific article; zbMATH DE number 1567789
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Publication:4761609
zbMath0959.46017MaRDI QIDQ4761609
V. I. Varankina, E. M. Vechtomov, I. A. Semenova
Publication date: 21 February 2001
Full work available at URL: http://mech.math.msu.su/~fpm/eng/98/982/98202h.htm
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divisibilitylattice of ideals\(F\)-spacespseudocompact spacemaximal congruencesideal congruencesabstract semiringsBézout semiringsemirings of continuous nonnegative real-valued functions
Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.) (46A16) Rings and algebras of continuous, differentiable or analytic functions (46E25)
Related Items (13)
To the theory of partial semirings of continuous \([0,\infty\)-valued functions] ⋮ The semiring of continous \([0,1\)-valued functions.] ⋮ Semirings of continuous functions ⋮ Definability of semifields of continuous positive functions by the lattices of their subalgebras ⋮ Functional representations of semirings. ⋮ Isomorphisms of semirings of continuous nonnegative functions and the lattices of their subalgebras ⋮ Semifields and their properties ⋮ The principal kernels of semifields of continuous positive functions ⋮ Isomorphisms of lattices of subalgebras of semirings of continuous nonnegative functions ⋮ The determinability of compacts by lattices of ideals and congruences of semirings of continuous \([0, 1\)-valued functions on them] ⋮ Determinability of semirings of continuous nonnegative functions with max-plus by the lattices of their subalgebras ⋮ Semirings of continuous \((0,\infty\)-valued functions] ⋮ Extension of congruences on semirings of continuous functions
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