1. Structure inherent in a free groupoid
- Author
-
J.A.S. Growney
- Subjects
inherent structure ,Successor cardinal ,Algebra and Number Theory ,Semigroup ,General Mathematics ,partial order ,Structure (category theory) ,Free groupoid ,Characterization (mathematics) ,Groupoid ,successor mapping ,20M05 ,20L05 ,Algebra ,semigroup ,06A35 ,Embedding ,Double groupoid ,Algebraic number ,Mathematics - Abstract
It has often been of interest in mathematics to consider the problem of embedding a certain algebraic system in other more restricted systems, i.e., in those satisfying additional properties. In the present paper, an opposite problem is considered, namely, the possibility of finding certain more restricted systems within a given one. A new characterization of a free groupoid, in terms of a successor mapping, is also given.
- Published
- 1974