On quotient-fields generated by pseudonormed rings
K. Urbanik (1955)
Studia Mathematica
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Displaying similar documents to “On the estimation of the norm of the n-linear symmetric operation”
On quotient-fields generated by pseudonormed rings
Coarse sequential convergence in groups, etc
Roman Frič, Fabio Zanolin (1990)
Czechoslovak Mathematical Journal
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On sequences of operations (II)
A. Alexiewicz (1950)
Studia Mathematica
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Relatively coarse sequential convergence
Roman Frič, Fabio Zanolin (1997)
Czechoslovak Mathematical Journal
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We generalize the notion of a coarse sequential convergence compatible with an algebraic structure to a coarse one in a given class of convergences. In particular, we investigate coarseness in the class of all compatible convergences (with unique limits) the restriction of which to a given subset is fixed. We characterize such convergences and study relative coarseness in connection with extensions and completions of groups and rings. E.g., we show that: (i) each relatively coarse dense...
On the two-norm convergence
A. Alexiewicz (1953)
Studia Mathematica
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The -groups of -rings. Part I. Construction of the logarithmic invariant
F. J.-B. J. Clauwens (1987)
Compositio Mathematica
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Pointwise convergence fails to be strict
Ján Borsík, Roman Frič (1998)
Czechoslovak Mathematical Journal
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It is known that the ring of all Baire functions carrying the pointwise convergence yields a sequential completion of the ring of all continuous functions. We investigate various sequential convergences related to the pointwise convergence and the process of completion of . In particular, we prove that the pointwise convergence fails to be strict and prove the existence of the categorical ring completion of which differs from .