Directoid groups |
| |
| Authors: | B J Gardner M M Parmenter |
| |
| Institution: | (1) Discipline of Mathematics, University of Tasmania, Private Bag 37, Hobart, Tasmania, 7001, Australia;(2) Department of Mathematics and Statistics, Memorial University of Newfoundland, St John’s, NL, A1C 5S7, Canada |
| |
| Abstract: | We continue the study of directoid groups, directed abelian groups equipped with an extra binary operation which assigns an
upper bound to each ordered pair subject to some natural restrictions. The class of all such structures can to some extent
be viewed as an equationally defined substitute for the class of (2-torsion-free) directed abelian groups. We explore the
relationship between the two associated categories, and some aspects of ideals of directoid groups. |
| |
| Keywords: | directed abelian group variety |
| 本文献已被 SpringerLink 等数据库收录！ |
|
