On Reproductive Solutions of Postian and Stonean Equations

نویسندگان

  • Sergiu RUDEANU
  • Sergiu Rudeanu
چکیده

A theorem due to Löwenheim provides the general reproductive solution of a Boolean equation whenever a particular solution is known. This theorem has been generalized either by passing from Boolean algebras to Post algebras and Stone algebras, or by using a parametric solution instead of a particular solution, or by combining the two directions. In the present paper we survey this research and generalize everything to Stone algebras. 2000 Mathematics Subject Classification: 06D25, 06D99, 06E30.

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تاریخ انتشار 2012