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Soft intersection Lie algebras. (English) Zbl 1358.17036

Summary: We introduce the concept of soft Lie subalgebras (resp. soft Lie ideals) and state some of their fundamental properties. We also introduce the concept of soft intersection Lie subalgebras (resp. soft intersection Lie ideals) and investigate some of their properties.

MSC:

17B99 Lie algebras and Lie superalgebras
03E72 Theory of fuzzy sets, etc.
20N25 Fuzzy groups
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