Banca de DEFESA: KÉZIA PATRÍCIA MESTRE CARVALHO

Uma banca de DEFESA de DOUTORADO foi cadastrada pelo programa.
DISCENTE: KÉZIA PATRÍCIA MESTRE CARVALHO
DATA : 22/01/2026
HORA: 14:00
LOCAL: Sala 209
TÍTULO:

Lefschetz Properties and Jordan types of monomial algebras

PALAVRAS-CHAVES:

Lefschetz properties, jordan types, monomial algebras

PÁGINAS: 72
RESUMO:

In this work, we study the Lefschetz properties and Jordan types of various classes of monomial algebras. The study is structured into four main parts, each exploring a distinct aspect of these algebraic structures. Initially, the focus is on studying the Jordan types of ideals defined as a Togliatti system. Subsequently, we analyze the m-th Artinianization of the Stanley-Reisner algebra, with special attention to determining the conditions under which these algebras satisfy the Weak Lefschetz Property (WLP). In the third part, the work addresses the Lefschetz properties for Stanley-Reisner algebras of Matroids of small rank. Finally, we study the Lefschetz properties in the context of codimension four Artinian Gorenstein algebras.

MEMBROS DA BANCA:
Externa à Instituição - ALINE VILELA ANDRADE - UFMG
Interno - 1307412 - DOUGLAS DE SOUZA QUEIROZ
Externo à Instituição - JOAO PAULO COSTALONGA - UFES
Presidente - ***.188.144-** - RODRIGO JOSÉ GONDIM NEVES - UFRPE
Externo à Instituição - ZAQUEU ALVES RAMOS - UFS