Results 11 to 20 of about 4,807 (96)

Extending congruence relations

, 1972
If A \mathfrak {A} and B \mathfrak {B} are algebras, where A ⊆ B \mathfrak {A} \subseteq \mathfrak {B} , and θ
P. Krauss
semanticscholar   +2 more sources

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
wiley   +1 more source

L‐theory of C∗$C^*$‐algebras

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, Thomas Nikolaus, Marco Schlichting   +2 more
wiley   +1 more source

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
wiley   +1 more source

Linearizable Abel equations and the Gurevich–Pitaevskii problem

Studies in Applied Mathematics, Volume 150, Issue 3, Page 607-628, April 2023., 2023
Abstract Applying symmetry reduction to a class of SL(2,R)$\mathrm{SL}(2,\mathbb {R})$‐invariant third‐order ordinary differential equations (ODEs), we obtain Abel equations whose general solution can be parameterized by hypergeometric functions. Particular case of this construction provides a general parametric solution to the Kudashev equation, an ...
Stanislav Opanasenko, Evgeny V. Ferapontov   +1 more
wiley   +1 more source

Quantum tilting modules over local rings

Journal of the London Mathematical Society, Volume 107, Issue 4, Page 1373-1408, April 2023., 2023
Abstract We show that tilting modules for quantum groups over local Noetherian domains of quantum characteristic 0 exist and the indecomposable tilting modules are parametrized by their highest weight. For this, we introduce a model category X=XA(R)${\mathcal {X}}={\mathcal {X}}_{\mathcal A}(R)$ associated with a Noetherian Z[v,v−1]${\mathbb {Z}}[v,v^{-
Peter Fiebig
wiley   +1 more source

Weak coherence of congruences [PDF]

, 1991
summary:An algebra $a$ is uniform if for each $\theta\in\Con a$, every two classes of $\theta$ have the same cardinality. It was shown by W. Taylor that coherent varieties need not be uniform (and vice versa).
Duda, Jaromír, Chajda, Ivan
core   +1 more source

On the growth of generating sets for direct powers of semigroups

, 2011
For a semigroup S its d-sequence is d(S) = (d1, d2, d3, . . .), where di is the smallest number of elements needed to generate the ith direct power of S.
J. T. Hyde, Wallis, Alistair; id_orcid, Ruskuc, Nik, Loughlin, Nicholas J., N. J. Loughlin, Wallis, Alistair, Quick, Martyn, N. Ruškuc, A. R. Wallis, M. Quick, Hyde, James T., Hyde, James Thomas, Loughlin, Nicholas   +12 more
core   +1 more source

Generalisations of Capparelli's and Primc's identities, II: Perfect An−1(1)$A_{n-1}^{(1)}$ crystals and explicit character formulae

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
wiley   +1 more source

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
wiley   +1 more source