"Factorization Theory" by David J. Grynkiewicz
 

Factorization Theory

Abstract

The concluding chapter is the culmination of all prior developed theory applied to study Factorization in the setting of Transfer Krull Monoids. A multi-dimensional extension of a result of Lambert is given, followed by the characterization of finite elasticities and all associated consequences regarding the study of factorization. This is first done in the torsion-free setting, and then extended to the more general setting afterward.

Publication Title

Lecture Notes in Mathematics

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