✦ LIBER ✦

Weak completeness and Abelian semigroups

✍ Scribed by T. C. Wesselkamper

Publisher: John Wiley and Sons
Year: 1975
Tongue: English
Weight: 167 KB
Volume: 21
Category: Article
ISSN: 0044-3050
DOI: 10.1002/malq.19750210135

No coin nor oath required. For personal study only.

✦ Synopsis

d h . I & k und Brundloqcn d . Math Bd. 21, s. 303-305 (1975) WEAK COMPLETENESS AND ABELIAN SEMIGROUPS by T. C. WESSELKAMPER Blacksburg, Virginia (U.S.A.)

Let k be a natural number ( k 2 3 ) and let E ( k ) = (0, 1, . . . , k -1). Let moreover c' = {ha I ha: E ( k ) + {a}}, the set of constant functions. Let En(k) = E ( k ) xx E(k), the Cartesian product of n copies of E ( k ) . If f : En(k) -+ E ( k ) , then say that f is an n place function over E ( k ) . A set, A of functions over E ( k ) is complete if for each natural number n any n place function f can be exprcsscd as a composition of the functions of A .

📜 SIMILAR VOLUMES

Concerning Completeness and Abelian Semi

Concerning Completeness and Abelian Semigroups

✍ J. C. Muzio 📂 Article 📅 1976 🏛 John Wiley and Sons 🌐 English ⚖ 120 KB

No Abelian Semigroup Operation is Comple

No Abelian Semigroup Operation is Complete

✍ T. C. Wesselkamper 📂 Article 📅 1976 🏛 John Wiley and Sons 🌐 English ⚖ 130 KB

Abelian groups and quadratic residues in

Abelian groups and quadratic residues in weak arithmetic

✍ Emil Jeřábek 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 282 KB

We investigate the provability of some properties of abelian groups and quadratic residues in variants of bounded arithmetic. Speci cally, we show that the structure theorem for nite abelian groups is provable in ), and use it to derive Fermat's little theorem and Euler's criterion for the Legendre

Slenderness, Completions, and Duality fo

Slenderness, Completions, and Duality for Primary Abelian Groups

✍ Patrick Keef 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 191 KB

If A is a fixed abelian group with endomorphism ring E, then for any group G, Ž . Ž . let G\* s Hom G, A and for any E-module M, let M\* s Hom M, A . The E evaluation map : G ª G\*\* is defined in the usual way and G is A-reflexive if G is an isomorphism. This is strongly related to the question of

Quasi Constricted Linear Representations

Quasi Constricted Linear Representations of Abelian Semigroups on Banach Spaces

✍ Eduard Yu. Emel'yanov; Manfred P. H. Wolff 📂 Article 📅 2002 🏛 John Wiley and Sons 🌐 English ⚖ 174 KB 👁 2 views

Let (X, • ) be a Banach space. We study asymptotically bounded quasi constricted representations of an abelian semigroup IP in L(X), i. e. representations (Tt) t∈IP which satisfy the following conditions: i) lim t→∞ Ttx < ∞ for all x ∈ X. ii) X 0 := {x ∈ X : lim t→∞ Ttx = 0} is closed and has finite

Weak Poincaré Inequalities and L2-Conver

Weak Poincaré Inequalities and L2-Convergence Rates of Markov Semigroups

✍ Michael Röckner; Feng-Yu Wang 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 293 KB

In order to describe L 2 -convergence rates slower than exponential, the weak Poincare inequality is introduced. It is shown that the convergence rate of a Markov semigroup and the corresponding weak Poincare inequality can be determined by each other. Conditions for the weak Poincare inequality to