Completely Arithmetical Rings |
| |
| Authors: | Xinmin Lu Jason Greene Boynton |
| |
| Affiliation: | 1. School of Science , Nanjing University of Science and Technology , Nanjing , China xmlu_nanjing@hotmail.com;3. Department of Mathematics , North Dakota State University , Fargo , North Dakota , USA |
| |
| Abstract: | We introduce a type of commutative ring R in which its ideal lattice has a strong form of the distributive property. We show that if R is reduced, then it is a semilocal von Neumann regular ring. In this case, we show that the K 1 group of this ring has a relatively simple structure. |
| |
| Keywords: | Completely arithmetical ring Completely strongly irreducible ideal K 1 group |
|
|
