Results 21 to 30 of about 2,382,464 (78)
Joins of subalgebras and normals in 0-regular varieties [PDF]
, 2015 In any 0-normal variety (0-regular variety in which {0} is a subalgebra), every congruence class containing 0 is a subalgebra. These “normal subalgebras” of a fixed algebra constitute a lattice, isomorphic to its congruence lattice.
McConnell, N. R., Stokes, Tim E.
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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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On congruence distributivity of ordered algebras with constants [PDF]
, 2011 We define the order-congruence distributivity at 0 and order- congruence n-distributivity at 0 of ordered algebras with a nullary operation 0. These notions are generalizations of congruence distributivity and congruence n-distributivity. We prove that a
Balog, Krisztina, Skublics, Benedek
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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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CARTAN SUBALGEBRAS IN DIMENSION DROP ALGEBRAS
, 2021 We completely classify Cartan subalgebras of dimension drop algebras with coprime parameters. More generally, we classify Cartan subalgebras of arbitrary stabilised dimension drop algebras that are non-degenerate in the sense that the dimensions of their
Barlak, Selçuk, Raum, Sven,
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Order‐Theoretic Characterizations of Sheffer Stroke Hilbert Algebras via Inferior Mappings
Journal of Mathematics, Volume 2026, Issue 1, 2026.The theory of order‐based mappings plays a significant role in analyzing the structural and logical properties of nonclassical algebraic systems. This paper introduces and thoroughly investigates the concepts of inferior subalgebras and inferior ideals within the framework of Sheffer stroke Hilbert algebras. The fundamental properties of these mappings
Halimah Alshehri +4 more
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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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On Lie algebras all of whose minimal subalgebras are lower modular. [PDF]
, 2004 The main purpose of this paper is to study Lie algebras L such that if a subalgebra U of L has a maximal subalgebra of dimension one then every maximal subalgebra of U has dimension one. Such an L is called lm(0)-algebra.
Bowman, Kevin +2 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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