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The Leibniz algebras whose subalgebras are ideals
Open Mathematics, 2017 Abstract In this paper we obtain the description of the Leibniz algebras whose subalgebras are ideals.
L A Kurdachenko, N N Semko
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Abelian ideals and the variety of Lagrangian subalgebras [PDF]
Journal of Pure and Applied Algebra, 2020 For a semisimple algebraic group $G$ of adjoint type with Lie algebra $\mathfrak g$ over the complex numbers, we establish a bijection between the set of closed orbits of the group $G \ltimes \mathfrak g^{\ast}$ acting on the variety of Lagrangian subalgebras of $\mathfrak g \ltimes \mathfrak g^{\ast}$ and the set of abelian ideals of a fixed Borel ...
Sam Evens, Yu Li
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Fuzzy Subalgebras and Ideals With Thresholds of Hilbert Algebras
International Journal of Analysis and Applications, 2022 The concepts of fuzzy subalgebras and ideals with thresholds of Hilbert algebras are presented, some of their features are explained, and their extensions are demonstrated using the theory of fuzzy sets as a foundation. We also talk about the connections
Aiyared Iampan +3 more
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An Algorithm to Compute the H-Bases for Ideals of Subalgebras [PDF]
Discrete Dynamics in Nature and Society, 2021 The concept of H-bases, introduced long ago by Macauly, has become an important ingredient for the treatment of various problems in computational algebra. The concept of H-bases is for ideals in polynomial rings, which allows an investigation of multivariate polynomial spaces degree by degree. Similarly, we have the analogue of H-bases for subalgebras,
Rabia +4 more
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Ideals and Subalgebras of a Function Algebra
Canadian Journal of Mathematics, 1974 Let X be a compact Hausdorff space and C(X) the set of all continuous complex-valued functions on X. A function algebra A on X is a uniformly closed, point separating subalgebra of C(X) which contains the constants.
B. Lund
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Q-fuzzy structure on JU-algebra [version 1; peer review: 1 approved, 2 approved with reservations] [PDF]
F1000ResearchBackground JU-algebras, an important class in abstract algebra, are extended here by incorporating fuzzy set theory to handle uncertainty in algebraic structures.
Birhanu Assaye Alaba +2 more
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Fuzzy Set Theory Applied on Autometrized Algebra [version 1; peer review: 2 approved, 1 approved with reservations] [PDF]
F1000ResearchThis paper introduces fuzzy subalgebras of autometrized algebras and studies their properties. Also, we present fuzzy ideals of autometrized algebras and provide examples to illustrate our findings. We examine the homomorphisms of both the images and the
Gebrie Yeshiwas Tilahun
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T-Fuzzy Structure on JU-Algebra [version 1; peer review: 3 approved] [PDF]
F1000ResearchIntroduction This study explored the application of T-norms in fuzzy algebra, specifically by examining JU-subalgebras and JU-ideals derived from crisp JU-algebras. We investigated the properties of the T-fuzzy structures within this algebraic framework.
Selamawit Hunie Gelaw +2 more
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Some Results of Fermatean Fuzzy Set on Subalgebras and Ideals of Bn-Algebras [version 2; peer review: 2 approved] [PDF]
F1000ResearchBackground Classical fuzzy sets have been generalized to better model uncertainty, leading to developments such as intuitionistic, Pythagorean, and Fermatean fuzzy sets.
Derebew Derso +2 more
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Cubic Subalgebras and Cubic Closed Ideals of B-algebras
Fuzzy Information and Engineering, 2015 In this paper, the concept of cubic set to subalgebras, ideals and closed ideals of B-algebras are introduced. Relations among cubic subalgebras with cubic ideals and cubic closed ideals of B-algebras investigated. The homomorphic image and inverse image
Tapan Senapati +2 more
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