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JOURNALS // Trudy Matematicheskogo Instituta imeni V.A. Steklova // Archive

Trudy Mat. Inst. Steklova, 2019 Volume 306, Pages 100–111 (Mi tm3998)

This article is cited in 2 papers

Analysis in Noncommutative Algebras and Modules

V. V. Zharinov

Steklov Mathematical Institute of Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia

Abstract: In a previous paper, we developed an analysis in associative commutative algebras and in modules over them, which may be useful in problems of contemporary mathematical and theoretical physics. Here we work out similar methods in the noncommutative case.

Keywords: associative noncommutative algebra, module, multiplier, derivation, covariant derivation, gauge transform, moduli space, differential form, cohomology.

UDC: 517.958

Received: August 13, 2018
Revised: August 28, 2018
Accepted: May 8, 2019

DOI: 10.4213/tm3998


 English version:
Proceedings of the Steklov Institute of Mathematics, 2019, 306, 90–101

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