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Sibirskii Matematicheskii Zhurnal, 2012, Volume 53, Number 2, Pages 451–464 (Mi smj2318)  
This article is cited in 10 scientific papers (total in 10 papers)

On the projective commutant of abelian groups

A. R. Chekhlov

Tomsk State University, Faculty of Mechanics and Mathematics, Tomsk
Full-text PDF (356 kB) Citations (10)
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Abstract: We describe the projective commutant and projective center of nonreduced groups and also of separable, vector, algebraically compact, and some other abelian groups.
Keywords: normal endomorphism ring, commutator of endomorphisms, fully invariant submodule, projectively nongenerating element, projectively semiprime submodule.
Received: 05.04.2011
English version:
Siberian Mathematical Journal, 2012, Volume 53, Issue 2, Pages 361–370
DOI: https://doi.org/10.1134/S0037446612020188
Bibliographic databases:
Document Type: Article
UDC: 512.541
Language: Russian
Citation: A. R. Chekhlov, “On the projective commutant of abelian groups”, Sibirsk. Mat. Zh., 53:2 (2012), 451–464; Siberian Math. J., 53:2 (2012), 361–370
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/smj2318
  • https://www.mathnet.ru/eng/smj/v53/i2/p451
    • This publication is cited in the following 10 articles:
    1. A. R. Chekhlov, “On projectively fully transitive Abelian groups”, J. Math. Sci., 259:4 (2021), 506–514  mathnet  crossref
    2. A. R. Chekhlov, “Vpolne inertnye podgruppy vpolne razlozhimykh grupp konechnogo ranga i ikh soizmerimost”, Vestn. Tomsk. gos. un-ta. Matem. i mekh., 2016, no. 3(41), 42–50  mathnet  crossref  elib
    3. Chekhlov A.R. Danchev P.V., “on Commutator Fully Transitive Abelian Groups”, J. Group Theory, 18:4 (2015), 623–647  crossref  mathscinet  zmath  isi  elib  scopus
    4. A. R. Chekhlov, “On Abelian groups with commutative commutators of endomorphisms”, J. Math. Sci., 230:3 (2018), 502–506  mathnet  crossref  mathscinet  elib
    5. A. R. Chekhlov, “Torsion-Free Weakly Transitive E-Engel Abelian Groups”, Math. Notes, 94:4 (2013), 583–589  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
    6. A. R. Chekhlov, “O pryamykh summakh tsiklicheskikh grupp s invariantnymi monomorfizmami”, Vestn. Tomsk. gos. un-ta. Matem. i mekh., 2013, no. 3(23), 60–65  mathnet  elib
    7. A. R. Chekhlov, Ml. V. Agafontseva, “Ob abelevykh gruppakh s tsentralnymi kvadratami kommutatorov endomorfizmov”, Vestn. Tomsk. gos. un-ta. Matem. i mekh., 2013, no. 4(24), 54–59  mathnet  elib
    8. A. R. Chekhlov, “On abelian groups with commuting monomorphisms”, Siberian Math. J., 54:5 (2013), 946–950  mathnet  crossref  mathscinet  isi
    9. A. R. Chekhlov, “Abelian groups with nilpotent commutators of endomorphisms”, Russian Math. (Iz. VUZ), 56:10 (2012), 50–61  mathnet  crossref  mathscinet
    10. A. R. Chekhlov, “On projectively soluble abelian groups”, Siberian Math. J., 53:5 (2012), 927–933  mathnet  crossref  mathscinet  isi
    Citing articles in Google Scholar: Russian citations, English citations
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