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Hesitant Fuzzy Subalgebras, Ideals and Congruences on Autometrized Algebras [version 2; peer review: 2 approved, 1 approved with reservations] [PDF]
F1000ResearchThis paper introduces the study of hesitant fuzzy subalgebras of autometrized algebras, obtains some of their properties, and gives some examples. Next, we introduce the concept of the hesitant fuzzy ideal and examine some of its properties.
Gebrie Yeshiwas Tilahun
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Extended BCK-Ideal Based on Single-Valued Neutrosophic Hyper BCK-Ideals
Bulletin of the Section of Logic, 2023 This paper introduces the concept of single-valued neutrosophic hyper \(BCK\)-subalgebras as a generalization and alternative of hyper \(BCK\)-algebras and on any given nonempty set constructs at least one single-valued neutrosophic hyper \(BCK ...
Mohammad Hamidi
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Algebraic theories of power operations
Journal of Topology, Volume 16, Issue 4, Page 1543-1640, December 2023., 2023 Abstract We develop and exposit some general algebra useful for working with certain algebraic structures that arise in stable homotopy theory, such as those encoding well‐behaved theories of power operations for E∞$\mathbb {E}_\infty$ ring spectra.
William Balderrama
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Proceedings of the London Mathematical Society, Volume 127, Issue 5, Page 1451-1506, November 2023., 2023 Abstract We establish a formula for the L‐theory spectrum of real C∗$C^*$‐algebras from which we deduce a presentation of the L‐groups in terms of the topological K‐groups, extending all previously known results of this kind. Along the way, we extend the integral comparison map τ:k→L$\tau \colon \mathrm{k}\rightarrow \mathrm{L}$ obtained in previous ...
Markus Land +2 more
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Topological duality for orthomodular lattices
Mathematical Logic Quarterly, Volume 69, Issue 2, Page 174-191, May 2023., 2023 Abstract A class of ordered relational topological spaces is described, which we call orthomodular spaces. Our construction of these spaces involves adding a topology to the class of orthomodular frames introduced by Hartonas, along the lines of Bimbó's topologization of the class of orthoframes employed by Goldblatt in his representation of ...
Joseph McDonald, Katalin Bimbó
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A categorification of combinatorial Auslander–Reiten quivers
Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.Abstract We provide a categorification of Oh and Suh's combinatorial Auslander–Reiten quivers in the simply laced case. We work within the perfectly valued derived category pvd(ΠQ)$\mathrm{pvd}(\Pi _Q)$ of the 2‐dimensional Ginzburg dg algebra of a Dynkin quiver Q$Q$.
Ricardo Canesin
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Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract In the first paper of this series, we gave infinite families of coloured partition identities which generalise Primc's and Capparelli's classical identities. In this second paper, we study the representation theoretic consequences of our combinatorial results.
Jehanne Dousse, Isaac Konan
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Jordan homomorphisms and T‐ideals
Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.Abstract Let A$A$ and B$B$ be associative algebras over a field F$F$ with char(F)≠2${\rm char}(F)\ne 2$. Our first main result states that if A$A$ is unital and equal to its commutator ideal, then every Jordan epimorphism φ:A→B$\varphi:A\rightarrow B$ is the sum of a homomorphism and an antihomomorphism. Our second main result concerns (not necessarily
Matej Brešar, Efim Zelmanov
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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
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Strong subgroup recurrence and the Nevo–Stuck–Zimmer theorem
Proceedings of the London Mathematical Society, Volume 130, Issue 6, June 2025.Abstract Let Γ$\Gamma$ be a countable group and Sub(Γ)$\mathrm{Sub}(\Gamma)$ its Chabauty space, namely, the compact Γ$\Gamma$‐space consisting of all subgroups of Γ$\Gamma$. We call a subgroup Δ∈Sub(Γ)$\Delta \in \mathrm{Sub}(\Gamma)$ a boomerang subgroup if for every γ∈Γ$\gamma \in \Gamma$, γniΔγ−ni→Δ$\gamma ^{n_i} \Delta \gamma ^{-n_i} \rightarrow ...
Yair Glasner, Waltraud Lederle
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