Dominions in quasivarieties of universal algebras |
| |
Authors: | Alexander Budkin |
| |
Institution: | (1) Altai State University, Dimitrova 66, 656099 Barnaul, Russia |
| |
Abstract: | The dominion of a subalgebra H in an universal algebra A (in a class
) is the set of all elements
such that for all homomorphisms
if f, g coincide on H, then af = ag. We investigate the connection between dominions and quasivarieties. We show that if a class
is closed under ultraproducts, then the dominion in
is equal to the dominion in a quasivariety generated by
. Also we find conditions when dominions in a universal algebra form a lattice and study this lattice.Special issue of Studia Logica: Algebraic Theory of Quasivarieties Presented by
M. E. Adams, K. V. Adaricheva, W. Dziobiak, and A. V. Kravchenko |
| |
Keywords: | Quasivariety dominion universal algebra group lattice free amalgamated product amalgam |
本文献已被 SpringerLink 等数据库收录! |
|