Results 11 to 20 of about 69 (66)
Scalable monoids and quantity calculus [PDF]
, 2023 We define scalable monoids and prove their fundamental properties. Congruence relations on scalable monoids, direct and tensor products, subalgebras and homomorphic images of scalable monoids, and unit elements of scalable monoids are defined and ...
Dan Jonsson, Jonsson, Dan,
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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
wiley +1 more source
Extending congruence relations [PDF]
, 1972 If A \mathfrak {A} and B \mathfrak {B} are algebras, where A ⊆ B \mathfrak {A} \subseteq \mathfrak {B} , and θ
Peter Krauss
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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
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
On the growth of generating sets for direct powers of semigroups [PDF]
, 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 +12 more
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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 +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
The Complexity of Reasoning about Spatial Congruence [PDF]
, 1999 In the recent literature of Arti cial Intelligence, an intensive research e ort has been spent, for various algebras of qualitative relations used in the representation of temporal and spatial knowledge, on the problem of classifying the computational ...
Matteo Cristani, CRISTANI, Matteo
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Congruences and homomorphisms on $\Omega $-algebras [PDF]
, 2017 summary:The topic of the paper are $\Omega$-algebras, where $\Omega$ is a complete lattice. In this research we deal with congruences and homomorphisms. An $\Omega$-algebra is a classical algebra which is not assumed to satisfy particular identities and ...
Andreja Tepavčević +5 more
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