No Cover Image

Journal article 706 views 64 downloads

On functors between categories of modules over trusses

Tomasz Brzezinski Orcid Logo, Bernard Rybołowicz, Paolo Saracco

Journal of Pure and Applied Algebra, Volume: 226, Issue: 11, Start page: 107091

Swansea University Author: Tomasz Brzezinski Orcid Logo

Check full text

DOI (Published version): 10.1016/j.jpaa.2022.107091

Abstract

Categorical aspects of the theory of modules over trusses are studied. Tensor product of modules over trusses is defined and its existence established. In particular, it is shown that bimodules over trusses form a monoidal category. Truss versions of the Eilenberg-Watts theorem and Morita equivalenc...

Full description

Published in: Journal of Pure and Applied Algebra
ISSN: 0022-4049
Published: Elsevier BV 2022
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa59386
first_indexed 2022-02-14T07:54:34Z
last_indexed 2023-01-11T14:40:37Z
id cronfa59386
recordtype SURis
fullrecord <?xml version="1.0"?><rfc1807><datestamp>2022-10-27T12:45:01.2438471</datestamp><bib-version>v2</bib-version><id>59386</id><entry>2022-02-14</entry><title>On functors between categories of modules over trusses</title><swanseaauthors><author><sid>30466d840b59627325596fbbb2c82754</sid><ORCID>0000-0001-6270-3439</ORCID><firstname>Tomasz</firstname><surname>Brzezinski</surname><name>Tomasz Brzezinski</name><active>true</active><ethesisStudent>false</ethesisStudent></author></swanseaauthors><date>2022-02-14</date><deptcode>MACS</deptcode><abstract>Categorical aspects of the theory of modules over trusses are studied. Tensor product of modules over trusses is defined and its existence established. In particular, it is shown that bimodules over trusses form a monoidal category. Truss versions of the Eilenberg-Watts theorem and Morita equivalence are formulated. Projective and small-projective modules over trusses are defined and their properties studied.</abstract><type>Journal Article</type><journal>Journal of Pure and Applied Algebra</journal><volume>226</volume><journalNumber>11</journalNumber><paginationStart>107091</paginationStart><paginationEnd/><publisher>Elsevier BV</publisher><placeOfPublication/><isbnPrint/><isbnElectronic/><issnPrint>0022-4049</issnPrint><issnElectronic/><keywords/><publishedDay>1</publishedDay><publishedMonth>11</publishedMonth><publishedYear>2022</publishedYear><publishedDate>2022-11-01</publishedDate><doi>10.1016/j.jpaa.2022.107091</doi><url/><notes/><college>COLLEGE NANME</college><department>Mathematics and Computer Science School</department><CollegeCode>COLLEGE CODE</CollegeCode><DepartmentCode>MACS</DepartmentCode><institution>Swansea University</institution><apcterm>Not Required</apcterm><funders>National Science Centre (Poland), FNRS (Belgium), GNSAGA-INdAM (Italy), EPSRC (UK)</funders><projectreference/><lastEdited>2022-10-27T12:45:01.2438471</lastEdited><Created>2022-02-14T07:50:24.0595493</Created><path><level id="1">Faculty of Science and Engineering</level><level id="2">School of Mathematics and Computer Science - Mathematics</level></path><authors><author><firstname>Tomasz</firstname><surname>Brzezinski</surname><orcid>0000-0001-6270-3439</orcid><order>1</order></author><author><firstname>Bernard</firstname><surname>Rybo&#x142;owicz</surname><order>2</order></author><author><firstname>Paolo</firstname><surname>Saracco</surname><order>3</order></author></authors><documents><document><filename>59386__22364__93e8afb9a34d4c7fbdd3727b0a062662.pdf</filename><originalFilename>Tensor_final.pdf</originalFilename><uploaded>2022-02-14T07:55:23.1638266</uploaded><type>Output</type><contentLength>648571</contentLength><contentType>application/pdf</contentType><version>Accepted Manuscript</version><cronfaStatus>true</cronfaStatus><embargoDate>2023-03-15T00:00:00.0000000</embargoDate><copyrightCorrect>true</copyrightCorrect><language>eng</language></document></documents><OutputDurs/></rfc1807>
spelling 2022-10-27T12:45:01.2438471 v2 59386 2022-02-14 On functors between categories of modules over trusses 30466d840b59627325596fbbb2c82754 0000-0001-6270-3439 Tomasz Brzezinski Tomasz Brzezinski true false 2022-02-14 MACS Categorical aspects of the theory of modules over trusses are studied. Tensor product of modules over trusses is defined and its existence established. In particular, it is shown that bimodules over trusses form a monoidal category. Truss versions of the Eilenberg-Watts theorem and Morita equivalence are formulated. Projective and small-projective modules over trusses are defined and their properties studied. Journal Article Journal of Pure and Applied Algebra 226 11 107091 Elsevier BV 0022-4049 1 11 2022 2022-11-01 10.1016/j.jpaa.2022.107091 COLLEGE NANME Mathematics and Computer Science School COLLEGE CODE MACS Swansea University Not Required National Science Centre (Poland), FNRS (Belgium), GNSAGA-INdAM (Italy), EPSRC (UK) 2022-10-27T12:45:01.2438471 2022-02-14T07:50:24.0595493 Faculty of Science and Engineering School of Mathematics and Computer Science - Mathematics Tomasz Brzezinski 0000-0001-6270-3439 1 Bernard Rybołowicz 2 Paolo Saracco 3 59386__22364__93e8afb9a34d4c7fbdd3727b0a062662.pdf Tensor_final.pdf 2022-02-14T07:55:23.1638266 Output 648571 application/pdf Accepted Manuscript true 2023-03-15T00:00:00.0000000 true eng
title On functors between categories of modules over trusses
spellingShingle On functors between categories of modules over trusses
Tomasz Brzezinski
title_short On functors between categories of modules over trusses
title_full On functors between categories of modules over trusses
title_fullStr On functors between categories of modules over trusses
title_full_unstemmed On functors between categories of modules over trusses
title_sort On functors between categories of modules over trusses
author_id_str_mv 30466d840b59627325596fbbb2c82754
author_id_fullname_str_mv 30466d840b59627325596fbbb2c82754_***_Tomasz Brzezinski
author Tomasz Brzezinski
author2 Tomasz Brzezinski
Bernard Rybołowicz
Paolo Saracco
format Journal article
container_title Journal of Pure and Applied Algebra
container_volume 226
container_issue 11
container_start_page 107091
publishDate 2022
institution Swansea University
issn 0022-4049
doi_str_mv 10.1016/j.jpaa.2022.107091
publisher Elsevier BV
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 Categorical aspects of the theory of modules over trusses are studied. Tensor product of modules over trusses is defined and its existence established. In particular, it is shown that bimodules over trusses form a monoidal category. Truss versions of the Eilenberg-Watts theorem and Morita equivalence are formulated. Projective and small-projective modules over trusses are defined and their properties studied.
published_date 2022-11-01T02:26:10Z
_version_ 1821370609119002624
score 11.04748

Similar Items