Abstract
In this paper, we introduce the notion of pseudo-CI algebras and investigate some of their properties. It is a generalization of the notion of pseudo-BE algebras, pseudo-BCK algebras and pseudo-MV algebras. We give and provide some conditions for a pseudo-CI algebra to be a pseudo-BE algebra. Also, we define the class of singular pseudo-CI algebras and show that any singular pseudo-CI algebra is a pseudo-BCI algebra. The adjoint group of a pseudo-CI algebra is defined and studied. Furthermore, distributive pseudo-CI algebras are discussed and showed that these coincide with distributive pseudo-BE algebras.
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The authors would like to express their thanks to anonymous referees for their comments and suggestions which improved the paper.
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Rezaei, A., Borumand Saeid, A. & Yousefi Sikari Saber, K. On pseudo-CI algebras. Soft Comput 23, 4643–4654 (2019). https://doi.org/10.1007/s00500-018-3428-y
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DOI: https://doi.org/10.1007/s00500-018-3428-y