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Nonhomogeneous Polyadic Algebras
Proceedings of the American Mathematical Society
Introduction. In a series of papers [l-4] Halmos introduced the theory of homogeneous polyadic algebras. These polyadic algebras correspond to first order calculi in which there is only one sort of variables. The purpose of this paper is to introduce the theory of nonhomogeneous polyadic algebras, the latter algebras corresponding to first order calculi in which there are several sorts of variables; these calculi were first treated in [6; 7]. In §1, we develop the general theory; in §2, wedoi:10.2307/2033772 fatcat:xfju4gkfdzeffgfynt7ttcfk6e