Correction to: On Leibniz Algebras Whose Subalgebras Are Either Ideals or Self-Idealizing Subalgebras

CARTAN SUBALGEBRAS OF LEIBNIZ n-ALGEBRAS

The present paper is devoted to the investigation of properties of Cartan subalgebras and regular elements in Leibniz n-algebras. The relationship between Cartan subalgebras and regular elements of given Leibniz n-algebra and Cartan subalgebras and regular elements of the corresponding factor n-Lie algebra is established. 1 Institut für Angewandte Mathematik, Universität Bonn, Wegelerstr. 6, D-...

On Subalgebras of C*-algebras

In this note we announce some new methods and results in the theory of nonnormal Hilbert space operators and nonself ad joint operator algebras. A main difficulty in the subject has been the apparent absence of relations between, say, a nonself ad joint algebra of operators and its generated C*-algebra. For example, given full information about the norm-closed algebra P(T) generated by all poly...

On Complex Algebras of Subalgebras

Let V be a variety of algebras. We establish a condition (so called generalized entropic property), equivalent to the fact that for every algebra A ∈ V , the set of all subalgebras of A is a subuniverse of the complex algebra of A. We investigate the relationship between the generalized entropic property and the entropic law. Further, provided the generalized entropic property is satisfied in V...

Hesitant Fuzzy Soft Subalgebras and Ideals in BCK/BCI-Algebras

As a link between classical soft sets and hesitant fuzzy sets, the notion of hesitant fuzzy soft sets is introduced and applied to a decision making problem in the papers by Babitha and John (2013) and Wang et al. (2014). The aim of this paper is to apply hesitant fuzzy soft set for dealing with several kinds of theories in BCK/BCI-algebras. The notions of hesitant fuzzy soft subalgebras and (c...

Intuitionistic T-S Fuzzy Subalgebras and Ideals in BCI-algebras