Results 141 to 150 of about 44,592 (230)

Ideals and their complements in commutative semirings. [PDF]

Soft comput, 2019
Chajda I, Länger H.
europepmc   +1 more source

Finite models for positive combinatorial and exponential algebra

Bulletin of the London Mathematical Society, EarlyView.
Abstract We use high girth, high chromatic number hypergraphs to show that there are finite models of the equational theory of the semiring of non‐negative integers whose equational theory has no finite axiomatisation, and show this also holds if factorial, fixed base exponentiation and operations for binomial coefficients are adjoined.
Tumadhir Alsulami, Marcel Jackson
wiley   +1 more source

Growth problems in diagram categories

Bulletin of the London Mathematical Society, EarlyView.
Abstract In the semisimple case, we derive (asymptotic) formulas for the growth rate of the number of summands in tensor powers of the generating object in diagram/interpolation categories.
Jonathan Gruber, Daniel Tubbenhauer
wiley   +1 more source

Classification of Rota-Baxter operators on semigroup algebras of order two and three. [PDF]

Commun Algebra, 2019
Zheng S, Guo L, Rosenkranz M.
europepmc   +1 more source

Units in group rings and blocks of Klein four or dihedral defect

Bulletin of the London Mathematical Society, EarlyView.
Abstract We obtain restrictions on units of even order in the integral group ring ZG$\mathbb {Z}G$ of a finite group G$G$ by studying their actions on the reductions modulo 4 of lattices over the 2‐adic group ring Z2G$\mathbb {Z}_2G$. This improves the “lattice method” which considers reductions modulo primes p$p$, but is of limited use for p=2$p=2 ...
Florian Eisele, Leo Margolis
wiley   +1 more source

Arithmetic sparsity in mixed Hodge settings

Bulletin of the London Mathematical Society, EarlyView.
Abstract Let X$X$ be a smooth irreducible quasi‐projective algebraic variety over a number field K$K$. Suppose X$X$ is equipped with a p$p$‐adic étale local system compatible with an admissible graded‐polarized variation of mixed Hodge structures on the complex analytification of XC$X_{\operatorname{\mathbb {C}}}$.
Kenneth Chung Tak Chiu
wiley   +1 more source

Remarks on some infinitesimal symmetries of Khovanov–Rozansky homologies in finite characteristic

Bulletin of the London Mathematical Society, EarlyView.
Abstract We give a new proof of a theorem due to Shumakovitch and Wang on base point independence of Khovanov–Rozansky homology in characteristic p$p$. Some further symmetries of gl(p)$\mathfrak {gl}(p)$‐homology in characteristic p$p$ are also discussed.
You Qi, Louis‐Hadrien Robert, Joshua Sussan, Emmanuel Wagner   +3 more
wiley   +1 more source

Majorana quasiparticles and topological phases in 3D active nematics. [PDF]

Proc Natl Acad Sci U S A
Head LC, Negro G, Carenza LN, Johnson N, Keogh RR, Gonnella G, Morozov A, Orlandini E, Shendruk TN, Tiribocchi A, Marenduzzo D.   +10 more
europepmc   +1 more source

Splitting the difference: Computations of the Reynolds operator in classical invariant theory

Bulletin of the London Mathematical Society, EarlyView.
Abstract If G$G$ is a linearly reductive group acting rationally on a polynomial ring S$S$, then the inclusion SG↪S$S^{G} \hookrightarrow S$ possesses a unique G$G$‐equivariant splitting, called the Reynolds operator. We describe algorithms for computing the Reynolds operator for the classical actions as in Weyl's book.
Aryaman Maithani
wiley   +1 more source

When does a generalized Boolean quasiring become a Boolean ring? [PDF]

Soft comput, 2018
Chajda I, Länger H.
europepmc   +1 more source