Strong atoms in monadically Krull monoids
It is shown that strong atoms are rather abundant in monadically Krull monoids. An application to rings of integer-valued polynomials on Krull domains yields new results on strong atoms in these rings.
Gespeichert in:
Veröffentlicht in: | Semigroup forum 2022-02, Vol.104 (1), p.10-17 |
---|---|
1. Verfasser: | |
Format: | Artikel |
Sprache: | eng |
Schlagworte: | |
Online-Zugang: | Volltext |
Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
container_end_page | 17 |
---|---|
container_issue | 1 |
container_start_page | 10 |
container_title | Semigroup forum |
container_volume | 104 |
creator | Angermüller, Gerhard |
description | It is shown that strong atoms are rather abundant in monadically Krull monoids. An application to rings of integer-valued polynomials on Krull domains yields new results on strong atoms in these rings. |
doi_str_mv | 10.1007/s00233-021-10231-9 |
format | Article |
fullrecord | <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_journals_2622098730</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2622098730</sourcerecordid><originalsourceid>FETCH-LOGICAL-c319t-31554c14e042b38c2e8a95bf2d6ec913249e1af7b50a56290534160ecdadef5d3</originalsourceid><addsrcrecordid>eNp9kE1LwzAYx4MoOKdfwFPBk4fo89K0y1GGTnHgQT2HLE1HR9fMpDvs29tZwZun54X_C_yEuEa4Q4DyPgEQswRCicOGUp-ICeZMkpDLUzEB4FKiRjoXFyltYLih4Im4fe9j6NaZ7cM2ZU2XbUNnq8bZtj1kr3HftsdPaKp0Kc5q2yZ_9Tun4vPp8WP-LJdvi5f5w1I6Rt1LRqVyh7mHnFY8c-RnVqtVTVXhnUamXHu0dblSYFVBGhTnWIB3la18rSqeipsxdxfD196n3mzCPnZDpaGCCPSsZBhUNKpcDClFX5tdbLY2HgyCOSIxIxIzIDE_SIweTDya0iDu1j7-Rf_j-gZDTGIP</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2622098730</pqid></control><display><type>article</type><title>Strong atoms in monadically Krull monoids</title><source>SpringerLink Journals - AutoHoldings</source><creator>Angermüller, Gerhard</creator><creatorcontrib>Angermüller, Gerhard</creatorcontrib><description>It is shown that strong atoms are rather abundant in monadically Krull monoids. An application to rings of integer-valued polynomials on Krull domains yields new results on strong atoms in these rings.</description><identifier>ISSN: 0037-1912</identifier><identifier>EISSN: 1432-2137</identifier><identifier>DOI: 10.1007/s00233-021-10231-9</identifier><language>eng</language><publisher>New York: Springer US</publisher><subject>Algebra ; Mathematics ; Mathematics and Statistics ; Monoids ; Polynomials ; Research Article ; Rings (mathematics)</subject><ispartof>Semigroup forum, 2022-02, Vol.104 (1), p.10-17</ispartof><rights>The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2021</rights><rights>The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2021.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c319t-31554c14e042b38c2e8a95bf2d6ec913249e1af7b50a56290534160ecdadef5d3</citedby><cites>FETCH-LOGICAL-c319t-31554c14e042b38c2e8a95bf2d6ec913249e1af7b50a56290534160ecdadef5d3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s00233-021-10231-9$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s00233-021-10231-9$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,776,780,27901,27902,41464,42533,51294</link.rule.ids></links><search><creatorcontrib>Angermüller, Gerhard</creatorcontrib><title>Strong atoms in monadically Krull monoids</title><title>Semigroup forum</title><addtitle>Semigroup Forum</addtitle><description>It is shown that strong atoms are rather abundant in monadically Krull monoids. An application to rings of integer-valued polynomials on Krull domains yields new results on strong atoms in these rings.</description><subject>Algebra</subject><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><subject>Monoids</subject><subject>Polynomials</subject><subject>Research Article</subject><subject>Rings (mathematics)</subject><issn>0037-1912</issn><issn>1432-2137</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2022</creationdate><recordtype>article</recordtype><recordid>eNp9kE1LwzAYx4MoOKdfwFPBk4fo89K0y1GGTnHgQT2HLE1HR9fMpDvs29tZwZun54X_C_yEuEa4Q4DyPgEQswRCicOGUp-ICeZMkpDLUzEB4FKiRjoXFyltYLih4Im4fe9j6NaZ7cM2ZU2XbUNnq8bZtj1kr3HftsdPaKp0Kc5q2yZ_9Tun4vPp8WP-LJdvi5f5w1I6Rt1LRqVyh7mHnFY8c-RnVqtVTVXhnUamXHu0dblSYFVBGhTnWIB3la18rSqeipsxdxfD196n3mzCPnZDpaGCCPSsZBhUNKpcDClFX5tdbLY2HgyCOSIxIxIzIDE_SIweTDya0iDu1j7-Rf_j-gZDTGIP</recordid><startdate>20220201</startdate><enddate>20220201</enddate><creator>Angermüller, Gerhard</creator><general>Springer US</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20220201</creationdate><title>Strong atoms in monadically Krull monoids</title><author>Angermüller, Gerhard</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c319t-31554c14e042b38c2e8a95bf2d6ec913249e1af7b50a56290534160ecdadef5d3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2022</creationdate><topic>Algebra</topic><topic>Mathematics</topic><topic>Mathematics and Statistics</topic><topic>Monoids</topic><topic>Polynomials</topic><topic>Research Article</topic><topic>Rings (mathematics)</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Angermüller, Gerhard</creatorcontrib><collection>CrossRef</collection><jtitle>Semigroup forum</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Angermüller, Gerhard</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Strong atoms in monadically Krull monoids</atitle><jtitle>Semigroup forum</jtitle><stitle>Semigroup Forum</stitle><date>2022-02-01</date><risdate>2022</risdate><volume>104</volume><issue>1</issue><spage>10</spage><epage>17</epage><pages>10-17</pages><issn>0037-1912</issn><eissn>1432-2137</eissn><abstract>It is shown that strong atoms are rather abundant in monadically Krull monoids. An application to rings of integer-valued polynomials on Krull domains yields new results on strong atoms in these rings.</abstract><cop>New York</cop><pub>Springer US</pub><doi>10.1007/s00233-021-10231-9</doi><tpages>8</tpages></addata></record> |
fulltext | fulltext |
identifier | ISSN: 0037-1912 |
ispartof | Semigroup forum, 2022-02, Vol.104 (1), p.10-17 |
issn | 0037-1912 1432-2137 |
language | eng |
recordid | cdi_proquest_journals_2622098730 |
source | SpringerLink Journals - AutoHoldings |
subjects | Algebra Mathematics Mathematics and Statistics Monoids Polynomials Research Article Rings (mathematics) |
title | Strong atoms in monadically Krull monoids |
url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-06T13%3A22%3A29IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Strong%20atoms%20in%20monadically%20Krull%20monoids&rft.jtitle=Semigroup%20forum&rft.au=Angerm%C3%BCller,%20Gerhard&rft.date=2022-02-01&rft.volume=104&rft.issue=1&rft.spage=10&rft.epage=17&rft.pages=10-17&rft.issn=0037-1912&rft.eissn=1432-2137&rft_id=info:doi/10.1007/s00233-021-10231-9&rft_dat=%3Cproquest_cross%3E2622098730%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2622098730&rft_id=info:pmid/&rfr_iscdi=true |