Results 51 to 60 of about 133,886 (143)
Almost nilpotent Lie algebras [PDF]
, 1987 Throughout we shall consider only finite-dimensional Lie algebras over a field of characteristic zero. In [3] it was shown that the classes of solvable and of supersolvable Lie algebras of dimension greater than two are characterised by the structure of ...
Towers, David
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Engel, Nilpotent and Solvable BCI-algebras
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019 In this paper, we define the concepts of Engel, nilpotent and solvable BCI-algebras and investigate some of their properties. Specially, we prove that any BCK-algebra is a 2-Engel.
Mohammadzadeh Elahe, Borzooei Rajab Ali
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Generalizations of Neutrosophic Subalgebras in BCK/BCI-Algebras Based on Neutrosophic Points [PDF]
Neutrosophic Sets and Systems, 2018 Saeid and Jun introduced the notion of neutrosophic points, and studied neutrosophic subalgebras of several types in BCK/BCI-algebras by using the notion of neutrosophic points.
Seon Jeong Kim +2 more
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A Novel Extension of Neutrosophic Sets and Its Application in BCK/BCI-Algebras
, 2018 Generalized neutrosophic set is introduced, and applied it to BCK/BCI-algebras. The notions of generalized neutrosophic subalgebras and generalized neutrosophic ideals in BCK/BCI-algebras are introduced, and related properties are ...
Florentin Smarandache (4496650) +7 more
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Pseudo-Valuations on UP-Algebras
Universal Journal of Mathematics and Applications, 2019 Looking at pseudo-valuations on some classes of abstract algebras, such as BCK, BCI, BCC and KU, in this article we introduce the concept of pseudo-valuations on UP-algebras and analyze the relationship of these mappings with UP-substructures.
Daniel A. Romano
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Makgeolli Structures and Its Application in BCK/BCI-Algebras
Mathematics, 2019 A fuzzy set is an extension of an existing set using fuzzy logic. Soft set theory is a generalization of fuzzy set theory. Fuzzy and soft set theory are good mathematical tools for dealing with uncertainty in a parametric manner.
Sun Shin Ahn +3 more
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Fuzzy Product KM-Subalgebras and Some Related Properties
Complexity, 2021 The concept of KM-algebras has been originated in 2019. KM-algebra is a generalization of some of the B-algebras such as BCK, BCI, BCH, BE, and BV and also d-algebras.
K. Kalaiarasi +5 more
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On the Structural Behavior of Multiplicative (Generalized)‐Derivations via d‐Algebra Structures
Journal of Mathematics, Volume 2026, Issue 1, 2026.In the context of a d‐algebra structure (℧, ∗, 0), this paper aims to introduce the concept of a multiplicative (generalized)‐derivation G associated with a self‐map Ξ (not necessarily a derivation). Based on this concept, the operations ∧ and composition ° will be defined, and several interesting related properties will be investigated, such as ...
Hicham Saber +5 more
wiley +1 more source
Bipolar Complex Fuzzy Lie Subalgebras: Structural Properties and Application in Decision‐Making
Journal of Mathematics, Volume 2026, Issue 1, 2026.A bipolar complex fuzzy set (BCFS integrates the characteristics of both bipolar and complex fuzzy sets, enabling a nuanced representation of uncertainty and ambiguity. This approach is particularly valuable in systems where positive and negative information coexist. In this paper, we extend the concept of BCFSs to Lie algebras.
Manivannan Balamurugan +4 more
wiley +1 more source
Journal of Mathematics, Volume 2026, Issue 1, 2026.Let A,∗,0 be a d‐algebra. The main focus of this article is to introduce the concept of a homoderivation as a self‐map of A that merges structural aspects of homomorphisms and derivations and then characterizes its relationship with a standard derivation of A.
Hicham Saber +6 more
wiley +1 more source