Almost \(f\)-maps and almost \(f\)-rings (Q1936487)
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scientific article; zbMATH DE number 6134573
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Almost \(f\)-maps and almost \(f\)-rings |
scientific article; zbMATH DE number 6134573 |
Statements
Almost \(f\)-maps and almost \(f\)-rings (English)
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5 February 2013
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The authors show that a theorem of Buskes and Holland on archimedean almost \(f\)-rings implies an a priori much stronger result of Steinberg on bilinear maps on an \(l\)-group with values in an archimedean \(l\)-group. They further use Steinberg's result to extend some well-known results on group and lattice homomorphisms of Huijsmans and de Pagter.
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abelian \(l\)-group
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almost \(f\)-map
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almost \(f\)-ring
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archimedean
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convex \(l\)-subgroup
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idempotent
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\(l\)-homomorphism
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ring homomorphism
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positive bilinear map
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symmetric
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