Results 61 to 70 of about 4,202,174 (239)
Pathological computations of Mackey functor‐valued Tor over cyclic groups
Bulletin of the London Mathematical Society, Volume 57, Issue 10, Page 3024-3036, October 2025.Abstract In equivariant algebra, Mackey functors play the role of abelian groups and Green and Tambara functors play the role of commutative rings. In this paper, we compute Mackey functor‐valued Tor over certain free Green and Tambara functors, generalizing the computation of Tor over a polynomial ring on one generator.
David Mehrle +2 more
wiley +1 more source
On the monoid of cofinite partial isometries of $\qq{N}^n$ with the usual metric
Pracì Mìžnarodnogo Geometričnogo Centru, 2019 In this paper we study the structure of the monoid Iℕn ∞ of cofinite partial isometries of the n-th power of the set of positive integers ℕ with the usual metric for a positive integer n > 2.
Oleg Gutik, Anatolii Savchuk
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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
wiley +1 more source
The categorical contours of the Chomsky-Sch\"utzenberger representation theorem [PDF]
Logical Methods in Computer ScienceWe develop fibrational perspectives on context-free grammars and on nondeterministic finite-state automata over categories and operads. A generalized CFG is a functor from a free colored operad (aka multicategory) generated by a pointed finite species ...
Paul-André Melliès, Noam Zeilberger
doaj +1 more source
Free submonoids in the monoid of languages
Discrete Mathematics, 1998 Let \(X\) be a finite alphabet. The authors use the term ``language'' only for nonempty subsets of \(X^*\setminus\{1\}\) and the set \(\{1\}\), where \(1\) is the empty word. For two languages \(A\) and \(B\), we have the language \(AB=\{xy\mid x\in A,\;y\in B\}\). So the monoid \(M\) of languages is obtained, and its free submonoids are studied.
Y. S. Tsai, H. J. Shyr
openaire +3 more sources
Construction of Bernstein‐Based Words and Their Patterns
Mathematical Methods in the Applied Sciences, Volume 48, Issue 13, Page 12819-12836, September 2025.ABSTRACT In this paper, with inspiration of the definition of Bernstein basis functions and their recurrence relation, we give construction of a new word family that we refer Bernstein‐based words. By classifying these special words as the first and second kinds, we investigate their some fundamental properties involving periodicity and symmetricity ...
Irem Kucukoglu, Yilmaz Simsek
wiley +1 more source
Nonsymmetric Askey–Wilson Shift Operators
Studies in Applied Mathematics, Volume 155, Issue 3, September 2025.ABSTRACT We classify the shift operators for the symmetric Askey–Wilson polynomials and construct shift operators for the nonsymmetric Askey–Wilson polynomials using two decompositions of nonsymmetric Askey–Wilson polynomials in terms of symmetric ones. These shift operators are difference–reflection operators, and we discuss the conditions under which
Max van Horssen, Philip Schlösser
wiley +1 more source
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
wiley +1 more source
Actions of a separately strict cpo-monoid on pointed directed complete posets [PDF]
Categories and General Algebraic Structures with Applications, 2015 In the present article, we study some categorical properties of the category {$bf Cpo_{Sep}$-$S$} of all {separately strict $S$-cpo's}; cpo's equipped with a compatible right action of a separately strict cpo-monoid $S$ which is strict continuous ...
Halimeh Moghbeli Damaneh
doaj
Characterizations of linear congruences on a free monoid [PDF]
Proceedings of the American Mathematical Society, 1993 Linear congruences on a free monoid X ∗ {X^{\ast }} coincide with the congruences on X ∗ {X^{\ast }} induced by nontrivial homomorphisms into the additive group of integers. For a finite X X
CHERUBINI, ALESSANDRA, M. Petrich
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