Results 21 to 30 of about 4,598 (226)
𝒩-Structures Applied to Closed Ideals in BCH-Algebras
International Journal of Mathematics and Mathematical Sciences, 2010 The notions of 𝒩-subalgebras and 𝒩-closed ideals in BCH-algebras are introduced, and the relation between 𝒩-subalgebras and 𝒩-closed ideals is considered.
Young Bae Jun +2 more
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Hyperfuzzy Ideals in BCK/BCI-Algebras
Mathematics, 2017 The notions of hyperfuzzy ideals in B C K / B C I -algebras are introduced, and related properties are investigated. Characterizations of hyperfuzzy ideals are established.
Seok-Zun Song +2 more
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Complex intuitionistic fuzzy Lie subalgebras under norms [PDF]
Notes on IFSThe 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
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On imaginable T-fuzzy subalgebras and imaginable T-fuzzy closed ideals in BCH-algebras [PDF]
International Journal of Mathematics and Mathematical Sciences, 2001 We inquire further into the properties on fuzzy closed ideals. We give a characterization of a fuzzy closed ideal using its level set, and establish some conditions for a fuzzy set to be a fuzzy closed ideal.
Young Bae Jun, Sung Min Hong
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Ideals and hereditary subalgebras in operator algebras [PDF]
Studia Mathematica, 2012 This paper may be viewed as having two aims. First, we continue our study of algebras of operators on a Hilbert space which have a contractive approximate identity, this time from a more Banach algebraic point of view. Namely, we mainly investigate topics concerned with the ideal structure, and hereditary subalgebras (HSA's), which are in some sense ...
Almus, Melahat +2 more
openaire +4 more sources
On the structure of Leibniz algebras whose subalgebras are ideals or core-free
, 2020 An algebra \(L\) over a field \(F\) is said to be a Leibniz algebra (more precisely, a left Leibniz algebra) if it satisfies the Leibniz identity: \([[a, b], c] = [a, [b, c]] - [b, [a, c]]\) for all \(a, b, c \in L\). Leibniz algebras are generalizations
V. Chupordia +2 more
semanticscholar +2 more sources
Ideals and Homomorphism Theorems of Fuzzy Associative Algebras
MathematicsBased on the definitions of fuzzy associative algebras and fuzzy ideals, it is proven that the intersections of fuzzy subalgebras are fuzzy subalgebras, and the intersections of fuzzy ideals are fuzzy ideals.
Xiaoman Yang, Xin Zhou
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A characterisation of Lie algebras using ideals and subalgebras [PDF]
Bulletin of the London Mathematical Society, 2022 We prove that if, for a non‐trivial variety of non‐associative algebras, every subalgebra of every free algebra is free and I2$I^2$ is an ideal whenever I$I$ is an ideal, then this variety coincides with the variety of all Lie algebras.
V. Dotsenko, Xabier Garc'ia-Mart'inez
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L-fuzzy ideals and L-fuzzy subalgebras of Novikov algebras
Open Mathematics, 2019 In this paper, we apply the concept of fuzzy sets to Novikov algebras, and introduce the concepts of L-fuzzy ideals and L-fuzzy subalgebras. We get a sufficient and neccessary condition such that an L-fuzzy subspace is an L-fuzzy ideal. Moreover, we show
Zhou Xin, Chen Liangyun, Chang Yuan
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Abelian subalgebras and ideals of maximal dimension in Zinbiel algebras [PDF]
Communications in Algebra, 2022 In this paper, we compare the abelian subalgebras and ideals of maximal dimension for finite-dimensional Zinbiel algebras. We study Zinbiel algebras containing maximal abelian subalgebras of codimension 1 and supersolvable Zinbiel algebras in which such ...
M. Ceballos, D. Towers
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