Algebraic connections between right and middle Bol loops and their cores

Simple Bol Loops

Infinite Simple Bol Loops

If the left multiplication group of a loop is simple, then the loop is simple. We use this observation to give examples of infinite simple Bol loops.

BOL LOOPS AND BRUCK LOOPS OF ORDER pq

Right Bol loops are loops satisfying the identity ((zx)y)x = z((xy)x), and right Bruck loops are right Bol loops satisfying the identity (xy)−1 = x−1y−1. Let p and q be odd primes such that p > q. Advancing the research program of Niederreiter and Robinson from 1981, we classify right Bol loops of order pq. When q does not divide p−1, the only right Bol loop of order pq is the cyclic group of o...

the relationship between learners critical thinking ability and their performance in the reading sections of the tofel and ielts test

the study reflected in this thesis aims at finding out relationships between critical thinking (ct), and the reading sections of tofel and ielts tests. the study tries to find any relationships between the ct ability of students and their performance on reading tests of tofel and academic ielts. however, no research has ever been conducted to investigate the relationship between ct and the read...

3 0 Ju l 2 00 5 STRONGLY RIGHT ALTERNATIVE RINGS AND BOL LOOPS

We partially answer two questions of Goodaire by showing that in a finite, strongly right alternative ring, the set of units (if the ring is with unity) is a Bol loop under ring multiplication, and the set of quasiregular elements is a Bol loop under " circle " multiplication. A magma (L, ·) is a set L with a binary operation · : L × L → L. A magma (L, ·) is a loop if there is a neutral element...