On the estimation of the norm of the n-linear symmetric operation
J. Kopeć, J. Musielak (1955)
Studia Mathematica
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Displaying similar documents to “On quotient-fields generated by pseudonormed rings”
On the estimation of the norm of the n-linear symmetric operation
Coarse sequential convergence in groups, etc
Roman Frič, Fabio Zanolin (1990)
Czechoslovak Mathematical Journal
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Lacunary convergence of series in L revisited.
Lech Drewnowski (2000)
Revista Matemática Complutense
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A simpler proof is given for the recent result of I. Labuda and the author that a series in the space L (lambda) is subseries convergent if each of its lacunary subseries converges.
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...