𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The Congruences on the Semigroup of Balanced Transformations of an Infinite Set

✍ Scribed by M.Paula O. Marques-Smith; R.P. Sullivan

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
221 KB
Volume
234
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.

✦ Synopsis

showed that the semigroup generated by all non-identity idempotent transformations of an infinite set X is the disjoint union of two semigroups, one of which is denoted by H and consists of all balanced transformations of X (that is, all transformations whose defect, shift, and collapse are equal and infinite).

πŸ“œ SIMILAR VOLUMES

On the bilinear transformation of LQG-ba
On the bilinear transformation of LQG-balanced realizations
✍ L. Fortuna; G. Muscato; G. Nunnari πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 313 KB

## This contribution shows that some useful properties of LQG-balanced realizations of continuous-time systems are preserved by applying bilinear transformations. This fact suggests that LQG-balancing of discrete systems and its approximation can be performed by using the typical schemes successfu

Hilbert on the Infinite: The Role of Set
Hilbert on the Infinite: The Role of Set Theory in the Evolution of Hilbert's Thought
✍ Gregory H. Moore πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 155 KB

Although Hilbert created no new set-theoretic theorems, he had a profound effect on the development of set theory by his advocacy of its importance. This article explores Hilbert's interactions with set theory, as expressed in his published work and especially in his unpublished lecture courses. C 2