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Matematicheskie Zametki, 2017, Volume 102, Issue 3, Pages 396–404
DOI: https://doi.org/10.4213/mzm11329
(Mi mzm11329)
 

This article is cited in 3 scientific papers (total in 3 papers)

Embedding of a Uniquely Divisible Abelian Semigroup In a Convex Cone

I. V. Orlov

Crimea Federal University, Simferopol
Full-text PDF (485 kB) Citations (3)
References:
Abstract: It is proved that every uniquely divisible Abelian semigroup admits an injective subadditive embedding in a convex cone. As an application, the classical theory of generators of one-parameter operator semigroups is generalized to the case in which the parameter ranges over a uniquely divisible semigroup.
Keywords: Abelian semigroup, unique divisibility, convex cone, infinitesimal generator of an operator semigroup.
Received: 29.07.2016
Revised: 15.03.2017
English version:
Mathematical Notes, 2017, Volume 102, Issue 3, Pages 361–368
DOI: https://doi.org/10.1134/S0001434617090061
Bibliographic databases:
Document Type: Article
UDC: 512.53+517.98
Language: Russian
Citation: I. V. Orlov, “Embedding of a Uniquely Divisible Abelian Semigroup In a Convex Cone”, Mat. Zametki, 102:3 (2017), 396–404; Math. Notes, 102:3 (2017), 361–368
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/mzm11329
  • https://doi.org/10.4213/mzm11329
  • https://www.mathnet.ru/eng/mzm/v102/i3/p396
  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математические заметки Mathematical Notes
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    Abstract page:427
    Full-text PDF :44
    References:43
    First page:28
     
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