In this paper, we consider some connections between loops whose loop rings, in characteristic 2, satisfy the Moufang identities and loops whose loop rings, in characteristic 2, satisfy the right Bol identities.

Lost in communication This is a case of a 95 year lady who was brought to the accident and emergency department with vague right hip pain. She was deaf and mute and taking history from her was like " mission impossible " !. She was conformable in bed and initial examination was documented " unremarkable " apart from right hip tenderness on movement. Her old notes indicated that she had intra-me...

We calculate the mass spectrum of the scalar meson nonet in the Nambu–JonaLasinio model (NJL model) with the ’t Hooft interaction. We also include corrections connected with meson loops in our analysis. The masses of the pseudoscalar and scalar meson nonets are in a satisfactory agreement with experimental data except for the mass of the f0(980) scalar meson. In order to describe this mass more...

We summarize some recent results concerning codes of finite nets, which are of interest in the search for non-Desarguesian planes of prime order and certain composite orders. The p-ranks of 3-nets are determined by algebraic properties of the defining loops, and p-ranks of k-nets admitting certain abelian groups of translations are bounded by algebraic properties of the groups. Here we discuss ...

To every right or left Bol loop corresponds a middle loop. In this paper, the cores of loops (RBL) and its corresponding (MBL) were studied. Their algebraic connections considered. It was shown that core RBL is elastic idempotent. The found to be alternative (or idempotent) if only MBL symmetric. If (left) symmetric, then, medial (semimedial). has inverse property (automorphic property, idempot...

Autism is a neurodevelopmental disorder originating from early childhood; nevertheless, its diagnosis is in older ages. In addition to heredity, environmental factors are also of great significance in the etiology of the disease. Dermatoglyphic patterns, albeit varied, remain stable for a lifetime and yield a large number of patterns upon examination. Studies have shown a significant associatio...

Constructions are given of families of loops which can be described in terms of the table obtained from the loop by using the operation of right division. The motivation comes from group representation theory and the group matrix which goes back to Frobenius.

We investigate the multiplicative loops of finite semifields. We show that the group generated by the left and right multiplication maps contains the special linear group. This result solves a BCC18 problem of A. Drápal. Moreover, we study the question of whether the bigMathieu groups can occur asmultiplication groups of loops. © 2009 Elsevier Ltd. All rights reserved.