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Uspekhi Mat. Nauk, 2005, Volume 60, Issue 3(363), Pages 3–40 (Mi umn1428)  

This article is cited in 4 scientific papers (total in 5 papers)

Elementary classification and decidability of theories of derived structures

Yu. M. Vazhenin, A. G. Pinus

Novosibirsk State Technical University

Abstract: This paper is a survey of results related to elementary theories of derived structures of classical and universal algebras. Several open problems are formulated.

DOI: https://doi.org/10.4213/rm1428

Full text: PDF file (520 kB)
References: PDF file   HTML file

English version:
Russian Mathematical Surveys, 2005, 60:3, 395–432

Bibliographic databases:

UDC: 512.8
MSC: Primary 03B25, 03C05; Secondary 03C85, 03C07, 08A35, 08B20, 20E15, 06A12
Received: 28.05.2004

Citation: Yu. M. Vazhenin, A. G. Pinus, “Elementary classification and decidability of theories of derived structures”, Uspekhi Mat. Nauk, 60:3(363) (2005), 3–40; Russian Math. Surveys, 60:3 (2005), 395–432

Citation in format AMSBIB
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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. Pal'chunov D.E., “Lattices of relatively axiomatizable classes”, Formal Concept Analysis, Proceedings, Lecture Notes in Computer Science, 4390, 2007, 221–239  crossref  zmath  isi
    2. A. G. Pinus, “Elementary equivalence for the lattices of subalgebras and automorphism groups of free algebras”, Siberian Math. J., 49:4 (2008), 692–695  mathnet  crossref  mathscinet  zmath  isi  elib  elib
    3. Düntsch I., Pratt-Hartmann I., “Complex algebras of arithmetic”, Fund. Inform., 97:4 (2009), 347–367  zmath  isi  elib
    4. Lev N. Shevrin, “The Ekaterinburg seminar “Algebraic Systems”: 50 years of activities”, Ural Math. J., 3:1 (2017), 3–26  mathnet  crossref  mathscinet
    5. V. A. Molchanov, “Elementarnaya opredelimost klassa universalnykh planarnykh avtomatov v klasse polugrupp”, Sib. matem. zhurn., 60:6 (2019), 1397–1410  mathnet  crossref
  • Успехи математических наук Russian Mathematical Surveys
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