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Full-Text Articles in Physical Sciences and Mathematics
Lefschetz Properties And Enumerations, David Cook Ii
Lefschetz Properties And Enumerations, David Cook Ii
Theses and Dissertations--Mathematics
An artinian standard graded algebra has the weak Lefschetz property if the multiplication by a general linear form induces maps of maximal rank between consecutive degree components. It has the strong Lefschetz property if the multiplication by powers of a general linear form also induce maps of maximal rank between the appropriate degree components. These properties are mainly studied for the constraints they place, when present, on the Hilbert series of the algebra. While the majority of research on the Lefschetz properties has focused on characteristic zero, we primarily consider the presence of the properties in positive characteristic. We study …
Closure Operations In Commutative Rings, Chloette Joy Samsam
Closure Operations In Commutative Rings, Chloette Joy Samsam
Theses Digitization Project
The purpose of this study is to survey different types of closures and closure operations on commutative rings and ideals.