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11. Around power ideals : From Fröberg's conjecture to zonotopal algebra
Sammanfattning : In this thesis we study power algebras, which are quotient of polynomial rings by power ideals. We will study Hilbert series of such ideals and their other properties. We consider two important special cases, namely, zonotopal ideals and generic ideals. Such ideals have a lot combinatorial properties. LÄS MER
12. Topics on Function Spaces and Multilinear Algebra
Sammanfattning : The present thesis consists of three different papers. Indeed, they treat two different research areas: function spaces and multilinear algebra. In paper I, a characterization of continuity of the $p$-$\Lambda$-variation function is given and Helly's selection principle for $\Lambda BV^{(p)}$ functions is established. LÄS MER
13. To infinity and back : Logical limit laws and almost sure theories
Sammanfattning : .... LÄS MER
14. On Finite-Dimensional Absolute Valued Algebras
Sammanfattning : .... LÄS MER
15. On Effective Representations of Path Semigroups and Multi-Multisemigroups
Sammanfattning : .... LÄS MER