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Complex intuitionistic fuzzy Lie subalgebras under norms [PDF]

open access: yesNotes on IFS
The purpose of this paper is to define the concepts of complex intuitionistic fuzzy Lie subalgebras and complex intuitionistic fuzzy Lie ideals with respect to norms (t-norm T and s-norm S) of Lie subalgebras and discuss their relationship them with Lie ...
Rasul Rasuli
doaj   +1 more source

Abelian ideals of Borel subalgebras and affine Weyl groups

open access: yesAdvances in Mathematics, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
PAPI, Paolo, Paola Cellini
openaire   +3 more sources

Intuitionistic Hesitant Fuzzy UP (BCC)-Filters of UP (BCC)-Algebras

open access: yesInternational Journal of Analysis and Applications, 2023
The concepts of intuitionistic hesitant fuzzy UP (BCC)-subalgebras, UP (BCC)-ideals, and UP (BCC)-filters of UP (BCC)-algebras are presented, some of their features are explained, and their extensions are demonstrated using the theory of hesitant fuzzy ...
Aiyared Iampan   +3 more
doaj   +1 more source

Fuzzy Translationin Fuzzy d-Ideals and Fuzzy d-Subalgebra

open access: yesRatio Mathematica, 2022
In this paper, we discuss about some properties such as fuzzy translation in fuzzy d-ideals and fuzzy d ...
Keerthana, R G, K.R., Sobha
openaire   +2 more sources

Superior subalgebras and ideals of BCK/BCI-algebras

open access: yesDiscussiones Mathematicae - General Algebra and Applications, 2016
Summary: The notions of superior subalgebras and (commutative) superior ideals are introduced, and their relations and related properties are investigated. Conditions for a superior ideal to be commutative are provided.
Jun, Young Bae, Song, Seok Zun
openaire   +2 more sources

Bipolar Fuzzy UP-Algebras

open access: yesMathematical and Computational Applications, 2018
In this paper, we apply the notion of bipolar-valued fuzzy set to UP-algebras. We introduce the notions of bipolar fuzzy UP-subalgebras (resp., bipolar fuzzy UP-filters, bipolar fuzzy UP-ideals, and bipolar fuzzy strongly UP-ideals) of UP-algebras and ...
Korawut Kawila   +2 more
doaj   +1 more source

Compatible Discrete Series

open access: yes, 2003
Several very interesting results connecting the theory of abelian ideals of Borel subalgebras, some ideas of D. Peterson relating the previous theory to the combinatorics of affine Weyl groups, and the theory of discrete series are stated in a recent ...
Cellini, P.   +2 more
core   +2 more sources

Fuzzy Sub-Equality Algebras Based on Fuzzy Points

open access: yesBulletin of the Section of Logic, 2023
In this paper, by using the notion of fuzzy points and equality algebras, the notions of fuzzy point equality algebra, equality-subalgebra, and ideal were established. Some characterizations of fuzzy subalgebras were provided by using such concepts.
Mona Aaly Kologani   +3 more
doaj   +1 more source

Abelian subalgebras in Z_2-graded Lie algebras and affine Weyl groups

open access: yes, 2003
Let g=g_0+ g_1 be a simple Z_2-graded Lie algebra and let b_0 be a fixed Borel subalgebra of g_0. We describe and enumerate the abelian b_0-stable subalgebras of g_1.Comment: 21 pages, amstex file. Minor corrections. Introduction slightly expanded.
Cellini, Paola   +2 more
core   +4 more sources

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