Basic elements in a pseudo MV-algebra

Abstract

 The notion of basic element in a pseudo MV-algebra is defined analogously as in the case of lattice ordered groups. In this paper we deal with psuedo MV-algebras ? such that each nonzero element of ? exceeds some basic element. Further, we investigate direct products and strong subdirect products of pseudo MV-algebras.

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1. Matematickýústav SAV, Grešáková 6, 040 01 Košice, Slovakia ¶E-mail: musavke@saske.sk, , , , , , SK

   J. Jakubík

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1. J. Jakubík
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Jakubík, J. Basic elements in a pseudo MV-algebra. Soft Computing 5, 372–375 (2001). https://doi.org/10.1007/PL00009892

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• Issue Date: October 2001

• DOI: https://doi.org/10.1007/PL00009892

• Keywords Pseudo MV-algebra, Basic element, B-atomicity, Direct product decomposition, Strong subdirect product