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

D'Cruz, ClareClareD'CruzDubey, SaipriyaSaipriyaDubeyVerma, Jugal K.Jugal K.Verma2025-08-282025-08-282025-06-250219-498810.1142/S0219498825410300http://repository.iitgn.ac.in/handle/IITG2025/19216Using 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 Briancon-Skoda theorem due to Rees and Sally.en-USMathematicsOn the core and adjoint of the product of complete ideals in two-dimensional regular local ringsArticlehttps://v2.sherpa.ac.uk/id/publication/97171793-682925-06-2025Article0WOS:001515288200001