On Some Clones of Compatible Operations

نویسنده

  • Gérard Kientega
چکیده

In [5], new results on affine complete algebras are obtained using the formalism of generalized metric spaces introduced by Jawhari, Misane and Pouzet [3]. In this paper we focus our attention to the clones of compatible operations obtained by the mean of nonexpansive functions defined on a generalized metric space. We hence prove new results on relations and primal algebras. We apply the notions introduced to study projective metric spaces and give new insights on some results of Gumm [2], Larose and Tardif [7], Rosenberg, Pouzet and Stone [9]. Mathematics Subject Classification: 08A30

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تاریخ انتشار 2014