On Integration with Respect to Measures with Values in Arbitrary Topological Vector Spaces
D. Butković (1979)
Publications mathématiques et informatique de Rennes
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D. Butković (1979)
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R.L. JOHNSON (1968/69)
Mathematische Annalen
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S. V. Butler (2002)
Fundamenta Mathematicae
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Topological measures (formerly "quasi-measures") are set functions that generalize measures and correspond to certain non-linear functionals on the space of continuous functions. The goal of this paper is to consider relationships between various families of topological measures on a given space. In particular, we prove density theorems involving classes of simple, representable, extreme topological measures and measures, hence giving a way of approximating various topological measures...
Youssef Fares (2006)
Acta Arithmetica
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Seth Warner (1977)
Journal für die reine und angewandte Mathematik
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Lăcrimioara Iancu, Maria S. Pop (2000)
Discussiones Mathematicae - General Algebra and Applications
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We give a construction for (m,n)-rings of quotients of a semicommutative (m,n)-ring, which generalizes the ones given by Crombez and Timm and by Paunić for the commutative case. We also study various constructions involving reduced rings and rings of quotients and give some functorial interpretations.
R. Chaudhuri (1976)
Matematički Vesnik
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Otto Gerstner (1975)
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Michał Kowalski (1976)
Annales Polonici Mathematici
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Roger Yue Chi Ming (1989)
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Kazimierz Szymiczek (1987)
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Swartz, Charles (1981)
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José L. García (2015)
Colloquium Mathematicae
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It was shown in [Colloq. Math. 135 (2014), 227-262] that the pure semisimplicity conjecture (briefly, pssC) can be split into two parts: first, a weak pssC that can be seen as a purely linear algebra condition, related to an embedding of division rings and properties of matrices over those rings; the second part is the assertion that the class of left pure semisimple sporadic rings (ibid.) is empty. In the present article, we characterize the class of left pure semisimple sporadic rings...
Keune, Frans (1996)
Documenta Mathematica
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Lasserre, Jean B. (1997)
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Bell, Howard E., Klein, Abraham A. (2010)
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Manfred Dugas, Shalom Feigelstock (2003)
Colloquium Mathematicae
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A ring R is called an E-ring if every endomorphism of R⁺, the additive group of R, is multiplication on the left by an element of R. This is a well known notion in the theory of abelian groups. We want to change the "E" as in endomorphisms to an "A" as in automorphisms: We define a ring to be an A-ring if every automorphism of R⁺ is multiplication on the left by some element of R. We show that many torsion-free finite rank (tffr) A-rings are actually E-rings. While we have an example...