Fully invariant and verbal congruence relations |
| |
Authors: | Clifford Bergman Joel Berman |
| |
Institution: | 1. Department of Mathematics, Iowa State University, Ames, Iowa, 50011, USA 2. Department of Mathematics, Statistics and Computer Science, University of Illinois at Chicago, 851 S. Morgan, Chicago, IL, 60607, USA
|
| |
Abstract: | A congruence relation θ on an algebra A is fully invariant if every endomorphism of A preserves θ. A congruence θ is verbal if there exists a variety ${\mathcal{V}}$ such that θ is the least congruence of A such that ${{\bf A}/\theta \in \mathcal{V}}$ . Every verbal congruence relation is known to be fully invariant. This paper investigates fully invariant congruence relations that are verbal, algebras whose fully invariant congruences are verbal, and varieties for which every fully invariant congruence in every algebra in the variety is verbal. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|