International Journal of Mathematics and Mathematical Sciences
Volume 16 (1993), Issue 3, Pages 617-619
doi:10.1155/S0161171293000766

The free A-ring is a graded A-ring

Roger D. Warren

Department of Mathematics, Madisonville Community College, Madisonville 42431, KY, USA

Abstract

In this paper, we define the free A-ring over K on a set X, categorically, and parallel some results from the theory of free algebras. We show that the free A-ring over K on X, denoted by AK{X}, is graded.