Proceedings of the Glasgow Mathematical Association
- Proceedings of the Glasgow Mathematical Association / Volume 7 / Issue 03 / January 1966, pp 128-135
- Copyright © Glasgow Mathematical Journal Trust 1966
- DOI: http://dx.doi.org/10.1017/S2040618500035310 (About DOI), Published online: 18 May 2009
Research Article
The maxit and minit of a ring
R. E. Peinadoa1 and W. G. Leavitta1
a1 University of Iowa and University of Nebraska
In a recent paper [2] one of the authors has introduced the concept of module type of a ring, for rings with unit. The object of this paper is to generalize this concept to arbitrary rings, without assuming the existence of a unit. This is easily accomplished for rings with one-sided unit, and we shall define the type of such a ring. Theorem 2.5 gives a relation between this type and the module type of [2], and permits the immediate extension of all results in [2] to rings with one-sided unit.
(Received September 23 1964)
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