This paper discusses weak pre-l-ideals and atoms in l-algebras, suggesting key relationships between them.
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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Daniel A. Romano (2025) studied this question.
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