Graduation Term
Spring 2026
Degree Name
Master of Science (MS)
Department
Department of Mathematics
Committee Chair
Sunil Chebolu
Committee Member
Charlotte Ure
Abstract
Mathieu-Zhao subspaces are a generalization of ideals in an algebra and were introduced by Wenhua Zhao in connection to the Jacobian conjecture and its variants. These subspaces have interesting properties, and often the problem of classification is hard. In this thesis, we investigate the structure of Mathieu-Zhao subspaces of the cartesian product of integers modulo powers of a prime p, Zpr × Zps . We will give a complete classification of the subgroups, maximal subgroups, Mathieu-Zhao subspaces, and maximal Mathieu-Zhao subspaces in these rings.
Access Type
Thesis-Open Access
Recommended Citation
Huber, Sarah A., "Classifying Mathieu-Zhao Subspaces in Products of Cyclic Rings" (2026). Theses and Dissertations. 2294.
https://ir.library.illinoisstate.edu/etd/2294