On the core and adjoint of the product of complete ideals in two-dimensional regular local rings

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dc.contributor.author D'Cruz, Clare
dc.contributor.author Dubey, Saipriya
dc.contributor.author Verma, Jugal K.
dc.coverage.spatial Singapore
dc.date.accessioned 2025-07-11T08:30:49Z
dc.date.available 2025-07-11T08:30:49Z
dc.date.issued 2025-06
dc.identifier.citation D’Cruz,, Clare; Dubey, Saipriya and Verma, Jugal K., "On the core and adjoint of the product of complete ideals in two-dimensional regular local rings", Journal of Algebra and Its Applications, DOI: 10.1142/S0219498825410300, Jun. 2025.
dc.identifier.issn 0219-4988
dc.identifier.issn 1793-6829
dc.identifier.uri https://doi.org/10.1142/S0219498825410300
dc.identifier.uri https://repository.iitgn.ac.in/handle/123456789/11603
dc.description.abstract Using joint reductions of complete ideals, we find expressions for the core and adjoints of the product of complete ideals in a two-dimensional regular local ring. We also compute their colengths. Our results strengthen a generalization of the Briançon–Skoda theorem due to Rees and Sally.
dc.description.statementofresponsibility by Clare D'Cruz, Saipriya Dubey and Jugal K. Verma
dc.language.iso en_US
dc.publisher World Scientific Publishing
dc.subject Regular local ring
dc.subject Complete ideals
dc.subject Adjoint ideal
dc.subject Core of ideals
dc.title On the core and adjoint of the product of complete ideals in two-dimensional regular local rings
dc.type Article
dc.relation.journal Journal of Algebra and Its Applications


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