In [3] a certain family of topological spaces was introduced on ultraproducts. These spaces have been called ultratopologies and their definition was motivated by model theory of higher order logics. Ultratopologies provide a natural extra topological structure for ultraproducts. Using this extra st
Boolean Rings of Sets with Finite Subcovering Property
β Scribed by Alexander Abian
- Publisher
- John Wiley and Sons
- Year
- 1970
- Tongue
- English
- Weight
- 105 KB
- Volume
- 47
- Category
- Article
- ISSN
- 0025-584X
No coin nor oath required. For personal study only.
β¦ Synopsis
Based on the above Definition, we prove the following Lemmas.
π SIMILAR VOLUMES
I prove that given a finite semigroup or finite associative ring S and a system βΊ of equations of the form ax s b or xa s b, where a, b g S, x is an unknown, it is algorithmically impossible to decide whether or not βΊ is solvable over S, that is, Ε½ whether or not there exists a bigger semigroup or r
This paper gives a simple but nontrivial set of local transformation rules for CNOT-based quantum circuits. It is shown that this rule set is complete, namely for any two equivalent circuits, S 1 and S 2 , there is a sequence of transformations, each of them in the rule set, which changes S 1 to S 2
Mackey and Ornstein proved that if R is a semi-simple ring then the ring of row Ε½ Ε½ . . and column finite matrices over R RCFM R is a Baer ring for any infinite set β« Ε½ . β«. A ring with identity is a Baer ring if every left equivalent every right annihilator is generated by an idempotent. This resul
A set tiles the integers if and only if the integers can be written as a disjoint union of translates of that set. We consider the problem of finding necessary and sufficient conditions for a finite set to tile the integers. For sets of prime power Ε½ . size, it was solved by D. Newman 1977, J. Numbe
## dedicated to k. doerk on his 60th birthday Given two subgroups U V of a finite group which are subnormal subgroups of their join U V and a formation , in general it is not true that U V = U V . A formation is said to have the Wielandt property if this equality holds universally. A formation wit