Category Theory meets Factorization Theory: the category AtoMon
主 讲 人 ：Laura Cossu 助理教授
活动时间：09月18日10时00分
地 点 ：球友会D203报告厅
讲座内容：
We introduce the category AtoMon of atomic monoids and atom-preserving homomorphisms as a non-full subcategory of the usual category of monoids and monoid homomorphisms. By computing all limits and colimits, we show that AtoMon is complete and cocomplete. We also explore arithmetic aspects of products and coproducts, deriving explicit formulas for key invariants related to factorization lengths. This work aims to build a bridge between category theory and factorization theory, offering a categorical framework for the study of atomic factorizations.
主讲人介绍：
Laura Cossu is a tenure-track Assistant Professor in the Department of Mathematics and Computer Science at the University of Cagliari, Italy. She received her Ph.D. in Mathematics from the University of Padua (Italy) in 2017. She worked as a postdoctoral researcher in Padua and then at the University of Graz (Austria), where she was supported by various grants, including a Marie Skłodowska-Curie Individual Fellowship from the European Commission and a Principal Investigator project from the Austrian Science Fund. She has also been a visiting researcher at New Mexico State University (NM, USA), University of California, Irvine (CA, USA), Montclair State University (NJ, USA), and the Université Catholique de Louvain (Belgium). Her research interests include commutative and non-commutative ring and semigroup theory, factorization theory, and commutative algebra. She has published in various international journals, including J. London Math. Soc., Israel J. Math., and J. Algebra.
