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St. Petersburg Mathematical Journal

This journal is a cover-to-cover translation into English of Algebra i Analiz, published six times a year by the mathematics section of the Russian Academy of Sciences.

ISSN 1547-7371 (online) ISSN 1061-0022 (print)

The 2020 MCQ for St. Petersburg Mathematical Journal is 0.68.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Dihedral modules with $\infty$-simplicial faces and dihedral homology for involutive $A_{\infty }$-algebras over rings
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by S. V. Lapin
Translated by: S. V. Kislyakov
St. Petersburg Math. J. 33 (2022), 491-509
DOI: https://doi.org/10.1090/spmj/1711
Published electronically: May 5, 2022

Abstract:

On the basis of combinatorial techniques of dihedral modules with $\infty$-simplicial faces, dihedral homology is constructed for involutive $A_{\infty }$-algebras over arbitrary commutative unital rings.
References
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Bibliographic Information
  • S. V. Lapin
  • Affiliation: ul. Serova, Saransk, Russia
  • Email: slapin@mail.ru
  • Received by editor(s): October 29, 2019
  • Published electronically: May 5, 2022
  • © Copyright 2022 American Mathematical Society
  • Journal: St. Petersburg Math. J. 33 (2022), 491-509
  • MSC (2020): Primary 16E40
  • DOI: https://doi.org/10.1090/spmj/1711
  • MathSciNet review: 4445781