Flexible involutive meadows
We investigate a notion of inverse for neutrices inspired by Van den Berg and Koudjeti's decomposition of a neutrix as the product of a real number and an idempotent neutrix. We end up with an algebraic structure that can be characterized axiomatically and generalizes involutive meadows. The la...
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext bestellen |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | |
|---|---|
| container_issue | |
| container_start_page | |
| container_title | |
| container_volume | |
| creator | Dinis, Bruno Bottazzi, Emanuele |
| description | We investigate a notion of inverse for neutrices inspired by Van den Berg and
Koudjeti's decomposition of a neutrix as the product of a real number and an
idempotent neutrix. We end up with an algebraic structure that can be
characterized axiomatically and generalizes involutive meadows. The latter are
algebraic structures where the inverse for multiplication is a total operation.
As it turns out, the structures satisfying the axioms of flexible involutive
meadows are of interest beyond nonstandard analysis. |
| doi_str_mv | 10.48550/arxiv.2309.01284 |
| format | Article |
| fullrecord | <record><control><sourceid>arxiv_GOX</sourceid><recordid>TN_cdi_arxiv_primary_2309_01284</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2309_01284</sourcerecordid><originalsourceid>FETCH-LOGICAL-a674-340347ee8811d000d5b39f755a79bb9558fe0e30557af2029dab19b406083f83</originalsourceid><addsrcrecordid>eNotzrsKwjAUgOEsDlJ9AHGwL9B60uQ0ySjFGwgOupeEnkCgtdJq1bcXL9O__XyMzTikUiPC0nbPMKSZAJMCz7Qcs_mmpmdwNcXhMrT1_RYGihuyVfvoJ2zkbd3T9N-InTbrc7FLDsftvlgdEpsrmQgJQioirTmvAKBCJ4xXiFYZ5wyi9gQkAFFZn0FmKuu4cRJy0MJrEbHF7_rFldcuNLZ7lR9k-UWKNwOSNSo</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>Flexible involutive meadows</title><source>arXiv.org</source><creator>Dinis, Bruno ; Bottazzi, Emanuele</creator><creatorcontrib>Dinis, Bruno ; Bottazzi, Emanuele</creatorcontrib><description>We investigate a notion of inverse for neutrices inspired by Van den Berg and
Koudjeti's decomposition of a neutrix as the product of a real number and an
idempotent neutrix. We end up with an algebraic structure that can be
characterized axiomatically and generalizes involutive meadows. The latter are
algebraic structures where the inverse for multiplication is a total operation.
As it turns out, the structures satisfying the axioms of flexible involutive
meadows are of interest beyond nonstandard analysis.</description><identifier>DOI: 10.48550/arxiv.2309.01284</identifier><language>eng</language><subject>Mathematics - Commutative Algebra ; Mathematics - Logic</subject><creationdate>2023-09</creationdate><rights>http://creativecommons.org/licenses/by/4.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,776,881</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/2309.01284$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.2309.01284$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Dinis, Bruno</creatorcontrib><creatorcontrib>Bottazzi, Emanuele</creatorcontrib><title>Flexible involutive meadows</title><description>We investigate a notion of inverse for neutrices inspired by Van den Berg and
Koudjeti's decomposition of a neutrix as the product of a real number and an
idempotent neutrix. We end up with an algebraic structure that can be
characterized axiomatically and generalizes involutive meadows. The latter are
algebraic structures where the inverse for multiplication is a total operation.
As it turns out, the structures satisfying the axioms of flexible involutive
meadows are of interest beyond nonstandard analysis.</description><subject>Mathematics - Commutative Algebra</subject><subject>Mathematics - Logic</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2023</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotzrsKwjAUgOEsDlJ9AHGwL9B60uQ0ySjFGwgOupeEnkCgtdJq1bcXL9O__XyMzTikUiPC0nbPMKSZAJMCz7Qcs_mmpmdwNcXhMrT1_RYGihuyVfvoJ2zkbd3T9N-InTbrc7FLDsftvlgdEpsrmQgJQioirTmvAKBCJ4xXiFYZ5wyi9gQkAFFZn0FmKuu4cRJy0MJrEbHF7_rFldcuNLZ7lR9k-UWKNwOSNSo</recordid><startdate>20230903</startdate><enddate>20230903</enddate><creator>Dinis, Bruno</creator><creator>Bottazzi, Emanuele</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20230903</creationdate><title>Flexible involutive meadows</title><author>Dinis, Bruno ; Bottazzi, Emanuele</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a674-340347ee8811d000d5b39f755a79bb9558fe0e30557af2029dab19b406083f83</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2023</creationdate><topic>Mathematics - Commutative Algebra</topic><topic>Mathematics - Logic</topic><toplevel>online_resources</toplevel><creatorcontrib>Dinis, Bruno</creatorcontrib><creatorcontrib>Bottazzi, Emanuele</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Dinis, Bruno</au><au>Bottazzi, Emanuele</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Flexible involutive meadows</atitle><date>2023-09-03</date><risdate>2023</risdate><abstract>We investigate a notion of inverse for neutrices inspired by Van den Berg and
Koudjeti's decomposition of a neutrix as the product of a real number and an
idempotent neutrix. We end up with an algebraic structure that can be
characterized axiomatically and generalizes involutive meadows. The latter are
algebraic structures where the inverse for multiplication is a total operation.
As it turns out, the structures satisfying the axioms of flexible involutive
meadows are of interest beyond nonstandard analysis.</abstract><doi>10.48550/arxiv.2309.01284</doi><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext_linktorsrc |
| identifier | DOI: 10.48550/arxiv.2309.01284 |
| ispartof | |
| issn | |
| language | eng |
| recordid | cdi_arxiv_primary_2309_01284 |
| source | arXiv.org |
| subjects | Mathematics - Commutative Algebra Mathematics - Logic |
| title | Flexible involutive meadows |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-04T10%3A00%3A11IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-arxiv_GOX&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Flexible%20involutive%20meadows&rft.au=Dinis,%20Bruno&rft.date=2023-09-03&rft_id=info:doi/10.48550/arxiv.2309.01284&rft_dat=%3Carxiv_GOX%3E2309_01284%3C/arxiv_GOX%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_id=info:pmid/&rfr_iscdi=true |