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Differential smoothness of skew polynomial rings

Tomasz Brzeziński, Christian Lomp, Tomasz Brzezinski Orcid Logo

Journal of Pure and Applied Algebra, Volume: 222, Issue: 9, Pages: 2413 - 2426

Swansea University Author: Tomasz Brzezinski Orcid Logo

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DOI (Published version): 10.1016/j.jpaa.2017.09.020

Abstract

It is shown that, under some natural assumptions, the tensor product of differentially smooth algebras and the skew-polynomial rings over differentially smooth algebras are differentially smooth.

Published in: Journal of Pure and Applied Algebra
ISSN: 00224049
Published: 2018
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa34892
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first_indexed 2017-08-10T12:53:21Z
last_indexed 2020-07-14T18:55:01Z
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spelling 2020-07-14T15:14:51.7234013 v2 34892 2017-08-10 Differential smoothness of skew polynomial rings 30466d840b59627325596fbbb2c82754 0000-0001-6270-3439 Tomasz Brzezinski Tomasz Brzezinski true false 2017-08-10 SMA It is shown that, under some natural assumptions, the tensor product of differentially smooth algebras and the skew-polynomial rings over differentially smooth algebras are differentially smooth. Journal Article Journal of Pure and Applied Algebra 222 9 2413 2426 00224049 31 12 2018 2018-12-31 10.1016/j.jpaa.2017.09.020 COLLEGE NANME Mathematics COLLEGE CODE SMA Swansea University 2020-07-14T15:14:51.7234013 2017-08-10T10:43:24.6415756 Faculty of Science and Engineering School of Mathematics and Computer Science - Mathematics Tomasz Brzeziński 1 Christian Lomp 2 Tomasz Brzezinski 0000-0001-6270-3439 3 0034892-10082017104608.pdf smooth_skew_rev.pdf 2017-08-10T10:46:08.8670000 Output 351801 application/pdf Accepted Manuscript true 2018-09-14T00:00:00.0000000 true eng
title Differential smoothness of skew polynomial rings
spellingShingle Differential smoothness of skew polynomial rings
Tomasz Brzezinski
title_short Differential smoothness of skew polynomial rings
title_full Differential smoothness of skew polynomial rings
title_fullStr Differential smoothness of skew polynomial rings
title_full_unstemmed Differential smoothness of skew polynomial rings
title_sort Differential smoothness of skew polynomial rings
author_id_str_mv 30466d840b59627325596fbbb2c82754
author_id_fullname_str_mv 30466d840b59627325596fbbb2c82754_***_Tomasz Brzezinski
author Tomasz Brzezinski
author2 Tomasz Brzeziński
Christian Lomp
Tomasz Brzezinski
format Journal article
container_title Journal of Pure and Applied Algebra
container_volume 222
container_issue 9
container_start_page 2413
publishDate 2018
institution Swansea University
issn 00224049
doi_str_mv 10.1016/j.jpaa.2017.09.020
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Mathematics and Computer Science - Mathematics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Mathematics and Computer Science - Mathematics
document_store_str 1
active_str 0
description It is shown that, under some natural assumptions, the tensor product of differentially smooth algebras and the skew-polynomial rings over differentially smooth algebras are differentially smooth.
published_date 2018-12-31T03:43:18Z
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score 11.013776

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