Abstract
Let R be a commutative ring with identity. A unit u of R is called exceptional if 1- u is also a unit. When R is a finite commutative ring, we determine the additive and multiplicative structures of its exceptional units; and then as an application we find a necessary and sufficient condition under which R is generated by its exceptional units.
| Original language | English |
|---|---|
| Pages (from-to) | 369-380 |
| Number of pages | 12 |
| Journal | Publicationes Mathematicae |
| Volume | 94 |
| Issue number | 3-4 |
| DOIs | |
| Publication status | Published - 2019 |
Keywords
- exceptional unit
- finite commutative ring
- character sum