Number of the records: 1
Contramodules
- 1.
SYSNO ASEP 0555864 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve SCOPUS Title Contramodules Author(s) Positselski, Leonid (MU-W) SAI, ORCID, RID Source Title Confluentes Mathematici. - : World Scientific Publishing - ISSN 1793-7442
Roč. 13, č. 2 (2021), s. 93-182Number of pages 90 s. Language eng - English Country SG - Singapore Keywords contramodules over coalgebras ; topological rings ; Tate Harish-Chandra pairs Subject RIV BA - General Mathematics OECD category Pure mathematics R&D Projects GA20-13778S GA ČR - Czech Science Foundation (CSF) Method of publishing Limited access Institutional support MU-W - RVO:67985840 EID SCOPUS 85128169325 DOI 10.5802/cml.78 Annotation Contramodules are module-like algebraic structures endowed with infinite summation (or, occasionally, integration) operations satisfying natural axioms. Introduced originally by Eilenberg and Moore in 1965 in the case of coalgebras over commutative rings, contramodules experience a small renaissance now after being all but forgotten for three decades between 1970-2000. Here we present a review of various definitions and results related to contramodules (drawing mostly from our monographs and preprints arXiv:0708.3398, arXiv:0905.2621, arXiv:1202.2697, arXiv:1209.2995, arXiv:1512.08119, arXiv:1710.02230, arXiv:1705.04960, arXiv:1808.00937) - including contramodules over corings, topological associative rings, topological Lie algebras and topological groups, semicontramodules over semialgebras, and a 'contra version' of the Bernstein-Gelfand-Gelfand category O. Several underived manifestations of the comodule-contramodule correspondence phenomenon are discussed. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2023 Electronic address https://doi.org/10.5802/cml.78
Number of the records: 1