Warren, Roger D. The free \(A\)-ring is a graded \(A\)-ring. (English) Zbl 0791.16021 Int. J. Math. Math. Sci. 16, No. 3, 617-619 (1993). Let \(K\) be a commutative ring and \(A\) a \(K\)-algebra. The author defines the tensor \(A\)-ring on a set \(X: A_ K\langle X\rangle\) which he calls the free \(A\)-ring, proves the expected universal property and shows that it is graded as an \(A\)-ring. (In addition to one source referred to in the text, the bibliography contains 31 items, none dated after 1969). Reviewer: P.M.Cohn (London) MSC: 16S10 Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) 16W50 Graded rings and modules (associative rings and algebras) Keywords:graded \(A\) ring; tensor \(A\)-ring; free \(A\)-ring; universal property PDFBibTeX XMLCite \textit{R. D. Warren}, Int. J. Math. Math. Sci. 16, No. 3, 617--619 (1993; Zbl 0791.16021) Full Text: DOI EuDML