Avancerad sökning

Hittade 2 avhandlingar som matchar ovanstående sökkriterier.

1. 1. Lefschetz properties and Jordan types of Artinian algebras

   Författare :Nasrin Altafi; Mats Boij; Martina Juhnke-Kubitzke; KTH; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Lefschetz properties; Jordan type; Hilbert function; Artinian algebra; Gorenstein algebra; Hessian;

   Sammanfattning : This thesis contains six papers concerned with studying the Lefschetz properties and Jordan types of linear forms for graded Artinian algebras. Lefschetz properties and Jordan types carry information about the ranks of multiplication maps by linear forms on graded Artinian algebras. LÄS MER

3. 2. Lefschetz Properties of Monomial Ideals

   Författare :Nasrin Altafi; Mats Boij; Alicia Dickenstein; KTH; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Weak Lefschetz property; monomial ideals; group actions; almost linear resolution; Mathematics; Matematik;

   Sammanfattning : This thesis concerns the study of the Lefschetz properties of artinian monomial algebras. An artinian algebra is said to satisfy the strong Lefschetz property if multiplication by all powers of a general linear form has maximal rank in every degree. If it holds for the first power it is said to have the weak Lefschetz property (WLP). LÄS MER