Results 91 to 100 of about 11,002 (236)
Amenability Constants for Unconditional Sums of Banach Algebras
ABSTRACT We study Johnson amenability for unconditional direct sums of Banach algebras. Given a family (Ai)i∈I$(A_i)_{i\in I}$ of Banach algebras and a Banach sequence lattice E$E$ on I$I$, the E$E$‐sum ⨁i∈IAiE${\bigl (\bigoplus _{i\in I} A_i\bigr)}_{\!E}$ carries a natural Banach algebra structure via coordinatewise multiplication.
Tomasz Kania, Jerzy Ka̧kol
wiley +1 more source
On the Existential Theory of the Completions of a Global Field
ABSTRACT We discuss the common existential theory of all or almost all completions of a global function field.
Philip Dittmann, Arno Fehm
wiley +1 more source
Geometry of essential matrix ranges and the Smith–Ward problem for operator systems
Abstract A d$d$‐tuple of bounded linear selfadjoint operators acting on an infinite‐dimensional separable Hilbert space is said to have the Smith–Ward property if the identity map of the image of the operator system in the Calkin algebra has a completely positive lift.
Douglas Farenick +2 more
wiley +1 more source
Fuzzy homomorphism theorems on rings
In this paper, we introduce the notion of fuzzy kernel of a fuzzy homomorphism on rings and show that it is a fuzzy ideal of the domain ring. Conversely, we also prove that any fuzzy ideal of a ring is a fuzzy kernel of some fuzzy epimorphism, namely the
Nasreen Kausar +5 more
core +1 more source
Geometric inverse semigroup theory: a note on the Milnor–Schwarz lemma for inverse monoids
Abstract We generalise the Milnor–Schwarz lemma to inverse monoids acting on presheaves of geodesic metric spaces. We provide two proofs of this fact: one only uses elementary techniques, inspired by the arguments for group actions on metric spaces; the other involves a version of the Vietoris–Rips complex, and builds on work of Chung–Martínez–Szakács.
Giorgio Mangioni, Francesco Tesolin
wiley +1 more source
FUZZY RINGS AND ITS PROPERTIES
One of algebraic structure that involves a binary operation is a group that is defined an un empty set (classical) with an associative binary operation, it has identity elements and each element has an inverse. In the structure of the group known as the
Karyati Karyati, Rifki Chandra Utama
doaj
Modular analogs of character formulas and minimal lifts of modular forms
Abstract If f$f$ is a mod‐3 eigenform of weight 2 and level Γ0(ℓ2)$\Gamma _0(\ell ^2)$ for a prime ℓ$\ell$ such that ℓ≡−1(mod3)$\ell \equiv -1 \pmod {3}$, and ℓ$\ell$ is a vexing prime for f$f$, we show that there is no obstruction to finding a minimal lift of f$f$, but that there is an obstruction to finding a nonminimal lift.
Patrick B. Allen, Preston Wake
wiley +1 more source
The probability of generating finite and profinite groups
Abstract Famously, every finite simple group G$G$ can be generated by a pair of elements. Moreover, Liebeck and Shalev (1995) proved that the probability that a pair of elements generate G$G$ tends to 1 as |G|→∞$|G| \rightarrow \infty$. In this paper, we generalize this theorem of Liebeck and Shalev. Work of Lucchini and Menegazzo (1997) implies that a
Scott Harper, Martyn Quick
wiley +1 more source
Homomorphic and restricted homomorphic products of soft graphs
Molodtsov pioneered the notion of soft set theory, presenting it as a mathematical tool for dealing with uncertainty. Numerous researchers have subsequently developed models leveraging this theory to tackle challenges in decision-making and medical diagnosis.
Jinta Jose +4 more
openaire +2 more sources
Fold and Mycielskian on homomorphism complexes [PDF]
Homomorphism complexes were introduced by Lov\'asz to study topological obstructions to graph colorings. We show that folding in the second parameter of the homomorphism complex yields a homotopy equivalence.
Csorba, P Péter +3 more
core +2 more sources

