Publications and Research
Document Type
Book Chapter or Section
Publication Date
2025
Abstract
A degree of a module M is a numerical measure of information carried by M. We highlight some of Vasconcelos’ outstanding contributions to the theory of degrees, bridging commutative algebra and computational algebra. We present several degrees he introduced and developed, including arithmetic degree, jdeg, homological degree, cohomological degrees, canonical degree and bi-canonical degree. For the canonical and bi-canonical degrees we discuss recent developments motivated by our joint works.
COinS
Comments
This is the author's preprint of a book chapter originally published in Commutative Algebra: The Mathematical Legacy of Wolmer V. Vasconcelos, edited by Joseph Brennan and Aron Simis, De Gruyter, 2025, pp. 203-240. https://doi.org/10.1515/9783110999365-006
L. Ghezzi was partially supported by the Fellowship Leave from the New York City College of Technology-CUNY (Fall 2022-Spring 2023) and by a grant from the City University of New York PSC-CUNY Research Award Program Cycle 53.