Introduction
Abstract
This work comprises extensive developments combining the areas of Convex Geometry, the Combinatorics of infinite subsets of lattice points in ℝd, and the arithmetic of Krull Domains and, more generally, of Transfer Krull Monoids. Our main and original motivation concerns the study of factorization in the very general setting of Transfer Krull Monoids. This is accomplished by developing an extended theory significantly generalizing prior work in Convex Geometry, then linked to the algebraic study of factorization via intermediary Combinatorics involving infinite subsets of lattice points.
Publication Title
Lecture Notes in Mathematics
Recommended Citation
Grynkiewicz, D. (2022). Introduction. Lecture Notes in Mathematics, 2316, 1-12. https://doi.org/10.1007/978-3-031-14869-9_1
