Finite union of commutative power joined semigroups |
| |
Authors: | Takayuki Tamura |
| |
Institution: | (1) University of California, 95616 Davis, California, USA |
| |
Abstract: | A commutative semigroup is called power joined if for every element a, b there are positive integers m, n such that am=bn. A commutative power joined semigroup is archimedean (p. 131, 3]) and cannot be decomposed into the disjoint union of more
than one subsemigroup. Every commutative semigroup is uniquely decomposed into the disjoint union of power joined subsemigroups
which are called the power joined components. This paper determines the structure of commutative archimedean semigroups which
have a finite number of power joined components. The number of power joined components of commutative archimedean semigroups
is one or three or infinity.
The research for this paper was supported in part by NSF Grant GP-11964. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|