(Weak) Pre-L-ideals and Atoms in L-algebras

Daniel Abraham Romano

doi:10.5644/SJM.21.01.02-1

Authors

Daniel Abraham Romano International Mathematical Virtual Institute 6, Kordunska ulica, 78000 Banja Luka, Bosnia and Herzegovina

DOI:

https://doi.org/10.5644/SJM.21.01.02-1

Keywords:

L-algebra, (weak) pre-L-ideal, atoms in L-algebras, extension of L-algebras

Abstract

The notion of L-algebras was introduced in 2008 by W. Rump. He also introduced the concept of L-ideals in this class of logical algebras.
This paper introduces the concept of (weak) pre-L-ideals and atoms in L-algebras and discusses some of their important properties. A connection has been established between pre-L-ideals and atoms in L-algebras.

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Abstract: 241 / PDF: 85

References

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