Results 71 to 80 of about 340,049 (197)
Abstract Differential categories provide the categorical foundations for the algebraic approaches to differentiation. They have been successful in formalizing various important concepts related to differentiation, such as, in particular, derivations. In this paper, we show that the differential modality of a differential category lifts to a monad on ...
Jean‐Simon Pacaud Lemay, Chiara Sava
wiley +1 more source
The asymptotic Mahler measure of Gaussian periods
Abstract We construct a sequence of cyclotomic integers (Gaussian periods) of particularly small Mahler measure/height. We study the asymptotics of their Mahler measure as a function of their conductor, to find that the growth rate is the (multivariate) Mahler measure of a family of log Calabi–Yau varieties of increasing dimension.
Gunther Cornelissen +2 more
wiley +1 more source
Abstract This paper investigates the maximal subgroups of a free projection‐generated regular ∗$*$‐semigroup PG(P)${{\textsf {PG}}}(P)$ over a projection algebra P$P$, and their relationship to the maximal subgroups of the free idempotent‐generated semigroup IG(E)${{\textsf {IG}}}(E)$ over the corresponding biordered set E=E(P)$E = {{\textsf {E}}}(P)$.
James East +3 more
wiley +1 more source
Monoid algebras over non-commutative rings [PDF]
We define on an arbitrary ring A a family of mappings (σx,y) subscripted with elements of a multiplicative monoid G. The assigned properties allow to call these mappings as derivations of the ring A.
COJUHARI, E. P.
core +1 more source
Automorphisms of partition order-decreasing transformation monoids [PDF]
Let \(T_n\) (\(S_n\)) be the full transformation semigroup (the symmetric group, respectively) on an \(n\)-element set \(X_n\), \(\rho\) an equivalence relation on \(X_n\), \(\preceq\) a total order on \(X_n/\rho\), \(T(\rho,\preceq)=\{\alpha\in T_n:(x\alpha)\rho\preceq x\rho,\;\forall x\in X_n\}\) and \(U_\rho=\{\mu\in S_n:(x\rho)\mu=x\rho,\;x\in X_n\}
Yang, Haobo, Yang, Xiuliang
openaire +2 more sources
Computing Bonds Between Formal Contexts
ABSTRACT The notion of bond was introduced as a technique to aggregate information from multiple datasets without modifying the information already present in each of the datasets. This notion has been extended to several fuzzy frameworks, including the residuated lattice setting, which we also consider in this paper.
Roberto G. Aragón +2 more
wiley +1 more source
Estimating ordered categorical variables using panel data: a generalized ordered probit model with an autofit procedure [PDF]
Estimation procedures for ordered categories usually assume that the estimated coefficients of independent variables do not vary between the categories (parallel-lines assumption).
Andreas Schmid +2 more
core +4 more sources
On finitary power monoids of linearly orderable monoids
A commutative monoid $M$ is called a linearly orderable monoid if there exists a total order on $M$ that is compatible with the monoid operation. The finitary power monoid of a commutative monoid $M$ is the monoid consisting of all nonempty finite subsets of $M$ under the so-called sumset.
Dani, Jiya +4 more
openaire +2 more sources
Hopf Monoids of Ordered Simplicial Complexes
Abstract We study Hopf classes: families of pure ordered simplicial complexes that give rise to Hopf monoids under join and deletion/contraction. The prototypical Hopf class is the family of ordered matroids. The idea of a Hopf class leads to a systematic study of simplicial complexes related to matroids, including shifted complexes and ...
Castillo, Federico +2 more
openaire +6 more sources
Oppenheim–Schur inequalities for causal products
Abstract We establish a class of Oppenheim–Schur‐type inequalities for the convolutional Jury product of positive semidefinite matrices. These results extend the classical Schur and Oppenheim inequalities associated with the Hadamard product to a causal convolutional setting.
Dominique Guillot +2 more
wiley +1 more source

