About this document
Nilpotent Elements in Ring Theory by Martin Banda is a document available to read on EtoBox.
This document contains solutions to problems from a ring theory problem set. It begins by solving problems regarding properties of rings including showing that (−1)a = −a for all a in a ring R, and that there exists an element x in a field F such that ax + b = 0. It then finds units, zero-divisors, and nilpotent elements in direct products of rings. Additional problems solved include showing the uniqueness of the multiplicative identity and inverses in rings. It concludes by proving that the center of a div
- Author
- Martin Banda
- Language
- EN