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A computation of the Castelnuovo-Mumford regularity of certain two-dimensional unmixed ideals
In this article, we consider ideals of the form of a polynomial ring over a field, where is an ideal generated by variables and is a non-negative integer for all i, j. We will give explicit formulas for computing the a i -invariants and the Castelnuovo-Mumford regularity in the case takes a value α...
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| Published in: | Communications in algebra 2020-05, Vol.48 (5), p.2028-2040 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
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| cites | cdi_FETCH-LOGICAL-c338t-a9ea9a71c5989111dd6b8710553a2b0a82fd87cac6e105cb557ab1ddd71ff8ab3 |
| container_end_page | 2040 |
| container_issue | 5 |
| container_start_page | 2028 |
| container_title | Communications in algebra |
| container_volume | 48 |
| creator | Công Minh, Nguyên Thi Thuy, Phan |
| description | In this article, we consider ideals of the form
of a polynomial ring
over a field, where
is an ideal generated by variables
and
is a non-negative integer for all i, j. We will give explicit formulas for computing the a
i
-invariants
and the Castelnuovo-Mumford regularity
in the case
takes a value α or β, where |
| doi_str_mv | 10.1080/00927872.2019.1710169 |
| format | article |
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of a polynomial ring
over a field, where
is an ideal generated by variables
and
is a non-negative integer for all i, j. We will give explicit formulas for computing the a
i
-invariants
and the Castelnuovo-Mumford regularity
in the case
takes a value α or β, where</description><identifier>ISSN: 0092-7872</identifier><identifier>EISSN: 1532-4125</identifier><identifier>DOI: 10.1080/00927872.2019.1710169</identifier><language>eng</language><publisher>Abingdon: Taylor & Francis</publisher><subject>Castelnuovo-Mumford regularity ; connected graph ; invariants ; monomial ideals ; Polynomials ; Regularity ; Rings (mathematics)</subject><ispartof>Communications in algebra, 2020-05, Vol.48 (5), p.2028-2040</ispartof><rights>2020 Taylor & Francis Group, LLC 2020</rights><rights>2020 Taylor & Francis Group, LLC</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c338t-a9ea9a71c5989111dd6b8710553a2b0a82fd87cac6e105cb557ab1ddd71ff8ab3</citedby><cites>FETCH-LOGICAL-c338t-a9ea9a71c5989111dd6b8710553a2b0a82fd87cac6e105cb557ab1ddd71ff8ab3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,27924,27925</link.rule.ids></links><search><creatorcontrib>Công Minh, Nguyên</creatorcontrib><creatorcontrib>Thi Thuy, Phan</creatorcontrib><title>A computation of the Castelnuovo-Mumford regularity of certain two-dimensional unmixed ideals</title><title>Communications in algebra</title><description>In this article, we consider ideals of the form
of a polynomial ring
over a field, where
is an ideal generated by variables
and
is a non-negative integer for all i, j. We will give explicit formulas for computing the a
i
-invariants
and the Castelnuovo-Mumford regularity
in the case
takes a value α or β, where</description><subject>Castelnuovo-Mumford regularity</subject><subject>connected graph</subject><subject>invariants</subject><subject>monomial ideals</subject><subject>Polynomials</subject><subject>Regularity</subject><subject>Rings (mathematics)</subject><issn>0092-7872</issn><issn>1532-4125</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><recordid>eNp9kE1LAzEQhoMoWKs_QVjwvDXJNk32Zil-QcWLHiXM5kNTdjc1yVr7781SvXoaGJ73ZeZB6JLgGcECX2NcUy44nVFM6hnhBJNFfYQmhFW0nBPKjtFkZMoROkVnMW4wJowLOkFvy0L5bjskSM73hbdF-jDFCmIybT_4L18-DZ31QRfBvA8tBJf2I6VMSOD6Iu18qV1n-pjj0BZD37lvowunDbTxHJ3YPMzF75yi17vbl9VDuX6-f1wt16WqKpFKqA3UwIlitagJIVovGpHfYKwC2mAQ1GrBFaiFyUvVMMahyZTmxFoBTTVFV4febfCfg4lJbvwQ8j1R0io31nyeu6aIHSgVfIzBWLkNroOwlwTL0aT8MylHk_LXZM7dHHKuzyY62PnQaplg3_pgA_TKRVn9X_EDfv18Bw</recordid><startdate>20200503</startdate><enddate>20200503</enddate><creator>Công Minh, Nguyên</creator><creator>Thi Thuy, Phan</creator><general>Taylor & Francis</general><general>Taylor & Francis Ltd</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>8FD</scope><scope>JQ2</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>20200503</creationdate><title>A computation of the Castelnuovo-Mumford regularity of certain two-dimensional unmixed ideals</title><author>Công Minh, Nguyên ; Thi Thuy, Phan</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c338t-a9ea9a71c5989111dd6b8710553a2b0a82fd87cac6e105cb557ab1ddd71ff8ab3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2020</creationdate><topic>Castelnuovo-Mumford regularity</topic><topic>connected graph</topic><topic>invariants</topic><topic>monomial ideals</topic><topic>Polynomials</topic><topic>Regularity</topic><topic>Rings (mathematics)</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Công Minh, Nguyên</creatorcontrib><creatorcontrib>Thi Thuy, Phan</creatorcontrib><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Technology Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>Communications in algebra</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Công Minh, Nguyên</au><au>Thi Thuy, Phan</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A computation of the Castelnuovo-Mumford regularity of certain two-dimensional unmixed ideals</atitle><jtitle>Communications in algebra</jtitle><date>2020-05-03</date><risdate>2020</risdate><volume>48</volume><issue>5</issue><spage>2028</spage><epage>2040</epage><pages>2028-2040</pages><issn>0092-7872</issn><eissn>1532-4125</eissn><abstract>In this article, we consider ideals of the form
of a polynomial ring
over a field, where
is an ideal generated by variables
and
is a non-negative integer for all i, j. We will give explicit formulas for computing the a
i
-invariants
and the Castelnuovo-Mumford regularity
in the case
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| fulltext | fulltext |
| identifier | ISSN: 0092-7872 |
| ispartof | Communications in algebra, 2020-05, Vol.48 (5), p.2028-2040 |
| issn | 0092-7872 1532-4125 |
| language | eng |
| recordid | cdi_proquest_journals_2391197455 |
| source | Taylor and Francis Science and Technology Collection |
| subjects | Castelnuovo-Mumford regularity connected graph invariants monomial ideals Polynomials Regularity Rings (mathematics) |
| title | A computation of the Castelnuovo-Mumford regularity of certain two-dimensional unmixed ideals |
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