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Mathematics
Volume 9
Issue 7
10.3390/math9070734
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Article

Homotopism of Homological Complexes over Nonassociative Algebras with Metagroup Relations

by
Sergey Victor Ludkowski
Department of Applied Mathematics, MIREA–Russian Technological University, av. Vernadsky 78, 119454 Moscow, Russia
Mathematics 2021, 9(7), 734; https://doi.org/10.3390/math9070734
Submission received: 18 December 2020 / Revised: 13 March 2021 / Accepted: 21 March 2021 / Published: 29 March 2021
Versions Notes

Abstract

The article is devoted to homological complexes. Smashly graded modules and complexes are studied over nonassociative algebras with metagroup relations. Smashed tensor products of homological complexes are investigated. Their homotopisms and homologisms are scrutinized.
Keywords: nonassociative algebra; smashly graded; homology; complex; homotopism; homologism; cohomology; metagroup nonassociative algebra; smashly graded; homology; complex; homotopism; homologism; cohomology; metagroup

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MDPI and ACS Style

Ludkowski, S.V. Homotopism of Homological Complexes over Nonassociative Algebras with Metagroup Relations. Mathematics 2021, 9, 734. https://doi.org/10.3390/math9070734

AMA Style

Ludkowski SV. Homotopism of Homological Complexes over Nonassociative Algebras with Metagroup Relations. Mathematics. 2021; 9(7):734. https://doi.org/10.3390/math9070734

Chicago/Turabian Style

Ludkowski, Sergey Victor. 2021. "Homotopism of Homological Complexes over Nonassociative Algebras with Metagroup Relations" Mathematics 9, no. 7: 734. https://doi.org/10.3390/math9070734

APA Style

Ludkowski, S. V. (2021). Homotopism of Homological Complexes over Nonassociative Algebras with Metagroup Relations. Mathematics, 9(7), 734. https://doi.org/10.3390/math9070734

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