Results 51 to 60 of about 430 (166)
On a semitopological polycyclic monoid
, 2016 We study algebraic structure of the λ-polycyclic monoid Pλ and its topologizations. We show that the λ-polycyclic monoid for an infinite cardinal λ≥2 has similar algebraic properties so has the polycyclic monoid Pn with finitely many n≥2 generators.
Gutik, O., Bardyla, S.
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Profinite techniques for probabilistic automata and the Markov Monoid algorithm [PDF]
, 2017 We consider the value 1 problem for probabilistic automata over finite words: it asks whether a given probabilistic automaton accepts words with probability arbitrarily close to 1. This problem is known to be undecidable.
Fijalkow, Nathanael, Nathanaël Fijalkow
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On Endomorphism Universality of Sparse Graph Classes
Journal of Graph Theory, Volume 110, Issue 2, Page 223-244, October 2025.ABSTRACT We show that every commutative idempotent monoid (a.k.a. lattice) is the endomorphism monoid of a subcubic graph. This solves a problem of Babai and Pultr and the degree bound is best‐possible. On the other hand, we show that no class excluding a minor can have all commutative idempotent monoids among its endomorphism monoids. As a by‐product,
Kolja Knauer, Gil Puig i Surroca
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On some topological structures of topological monoids
Gulf Journal of MathematicsLet G be a topological monoid, meaning that it is both a monoid and a topological space with continuous multiplication. This paper focuses on points in G that do not possess compact neighborhoods. In the context of topological groups, if the identity element, denoted e, has a compact neighborhood, then the space is locally compact.
Mohmmad Zailai +2 more
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Holomorphic field theories and higher algebra
Bulletin of the London Mathematical Society, Volume 57, Issue 10, Page 2903-2974, October 2025.Abstract Aimed at complex geometers and representation theorists, this survey explores higher dimensional analogs of the rich interplay between Riemann surfaces, Virasoro and Kac‐Moody Lie algebras, and conformal blocks. We introduce a panoply of examples from physics — field theories that are holomorphic in nature, such as holomorphic Chern‐Simons ...
Owen Gwilliam, Brian R. Williams
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Topologies on free monoids induced by families of languages [PDF]
RAIRO. Informatique théorique, 1983 The paper is the continuation of the author's paper [ibid. 14, 225-237 (1980; Zbl 0444.68077)]. There are described families of languages inducing interior operators on free monoids and discussed the determination of topologies induced by families of languages by means of neighbourhood systems.
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On the universal pairing for 2‐complexes
Bulletin of the London Mathematical Society, Volume 57, Issue 9, Page 2838-2853, September 2025.Abstract The universal pairing for manifolds was defined and shown to lack positivity in dimension 4 in [Freedman, Kitaev, Nayak, Slingerland, Walker, and Wang, J. Geom. Topol. 9 (2005), 2303–2317]. We prove an analogous result for 2‐complexes, and show that the universal pairing does not detect the difference between simple homotopy equivalence and 3 ...
Mikhail Khovanov +2 more
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Topological embeddings into transformation monoids
, 2023 In this paper we consider the questions of which topological semigroups embed topologically into the full transformation monoid $\mathbb{N} ^ \mathbb{N}$ or the symmetric inverse monoid $I_{\mathbb{N}}$ with their respective canonical Polish semigroup ...
Mitchell, J. D. +3 more
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A coboundary Temperley–Lieb category for sl2$\mathfrak {sl}_{2}$‐crystals
Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.Abstract By considering a suitable renormalization of the Temperley–Lieb category, we study its specialization to the case q=0$q=0$. Unlike the q≠0$q\ne 0$ case, the obtained monoidal category, TL0(k)$\mathcal {TL}_0(\mathbb {k})$, is not rigid or braided. We provide a closed formula for the Jones–Wenzl projectors in TL0(k)$\mathcal {TL}_0(\mathbb {k})$
Moaaz Alqady, Mateusz Stroiński
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On equality sets of morphisms in topological free monoids [PDF]
RAIRO - Theoretical Informatics and Applications, 1991 Dans un monoide libre muni de la topologie de groupes finis nous considerons l'ensemble d'egalite de morphismes et nous demontrons qu'il est dense nulle ...
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