Results 51 to 60 of about 34,808 (248)
A Levi–Civita Equation on Monoids, Two Ways
Annales Mathematicae Silesianae, 2022 We consider the Levi–Civita equation f(xy)=g1(x)h1(y)+g2(x)h2(y)f\left( {xy} \right) = {g_1}\left( x \right){h_1}\left( y \right) + {g_2}\left( x \right){h_2}\left( y \right) for unknown functions f, g1, g2, h1, h2 : S → ℂ, where S is a monoid.
Ebanks Bruce
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Endomorphisms and anti-endomorphisms of some finite groupoids
Журнал Средневолжского математического общества, 2022 In this paper, we study anti-endomorphisms of some finite groupoids. Previously, special groupoids $S(k, q)$ of order $k(1+k)$ with a generating set of $k$ elements were introduced.
Litavrin Andrey V.
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Realizable sets of catenary degrees of numerical monoids
, 2017 The catenary degree is an invariant that measures the distance between factorizations of elements within an atomic monoid. In this paper, we classify which finite subsets of $\mathbb Z_{\ge 0}$ occur as the set of catenary degrees of a numerical monoid ...
O'Neill, Christopher, Pelayo, Roberto
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On locally compact shift-continuous topologies on the α-bicyclic monoid
Topological Algebra and its Applications, 2018 A topology τ on a monoid S is called shift-continuous if for every a, b ∈ S the two-sided shift S → S, x ↦ axb, is continuous. For every ordinal α ≤ ω, we describe all shift-continuous locally compact Hausdorff topologies on the α-bicyclic monoid Bα ...
Bardyla Serhii
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On Endomorphisms of the Additive Monoid of Subnets of a Two-layer Neural Network
Известия Иркутского государственного университета: Серия "Математика", 2022 Previously, for each multilayer neural network of direct signal propagation (hereinafter, simply a neural network), finite commutative groupoids were introduced, which were called additive subnet groupoids.
Andrey Litavrin
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Scissors congruence K$K$‐theory for equivariant manifolds
Bulletin of the London Mathematical Society, EarlyView.Abstract We introduce a scissors congruence K$K$‐theory spectrum that lifts the equivariant scissors congruence groups for compact G$G$‐manifolds with boundary, and we show that on π0$\pi _0$, this is the source of a spectrum‐level lift of the Burnside ring‐valued equivariant Euler characteristic of a compact G$G$‐manifold.
Mona Merling +4 more
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Journal of Knot Theory and Its Ramifications, 2002 This paper gives a self-contained and complete proof of the isomorphism of freely generated monoids extracted from Temperley-Lieb algebras with monoids made of Kauffman's diagrams.
Borisavljević, Mirjana +2 more
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The log Grothendieck ring of varieties
Bulletin of the London Mathematical Society, EarlyView.Abstract We define a Grothendieck ring of varieties for log schemes. It is generated by one additional class “P$P$” over the usual Grothendieck ring. We show the naïve definition of log Hodge numbers does not make sense for all log schemes. We offer an alternative that does.
Andreas Gross +4 more
wiley +1 more source
Discrete Mathematics, 2000 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Semigroup Forum, 2021 We construct certain monoids, called tied monoids. These monoids result to be semidirect products finitely presented and commonly built from braid groups and their relatives acting on monoids of set partitions. The nature of our monoids indicate that they should give origin to new knot algebras; indeed, our tied monoids include the tied braid monoid ...
Arcis, Diego, Juyumaya, Jesús
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