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.

In his recent series of lectures, Prof. B. I. Plotkin discussed geometrical properties of the variety of associative K-algebras. In particular, he studied geometrically noetherian and logically noetherian algebras and, in this connection, he asked whether there exist uncountably many simple K-algebras with a fixed finite number of generators. We answer this question in the affirmative using bot...

Sauriols A and B belong to a class of diarylbutane-lignans and exhibit antifeedant activity. We succeeded in the first synthesis of sauriols A and B by using a simple and efficient asymmetric dimerization of a cinnamic acid derivative as the key step.

Manuscript received: July 2001 Associate Editor: Jenny Edwards Copyright© 2001, Australian Computer Society Inc. General permission to republish, but not for profit, all or part of this material is granted, provided that the JRPIT copyright notice is given and that reference is made to the publication, to its date of issue, and to the fact that reprinting privileges were granted by permission o...

We investigate a class of Lie algebras called quasi-simple Lie algebras. These are generalizations of semi-simple, reductive, and affine Kac-Moody Lie algebras. A quasi-simple Lie algebra which has an irreducible root system is said to be irreducible and we note that this class of algebras have been under intensive investigation in recent years. They have also been called extended affine Lie al...

Pujari A, et al. BMJ Case Rep 2017. doi:10.1136/bcr-2017-220982 Description Case 1: Posterior segment ultrasonography for a patient with total cataract shows a well defined mushroom-shaped mass arising from the choroid with underlying excavation. Surrounding choroid was normal; the dimensions were 6.9 mm in basal diameter and 9.3 mm in vertical height. As the ultrasonic waves pass through the m...

We provide explicit formulas for the number of ad-nilpotent ideals of a Borel subalgebra of a complex simple Lie algebra having fixed class of nilpotence.

Two aspects of hadronic B decays are investigated. Firstly, the supersymmetric enhancement of hadronic b decays b→ qg → qq′q̄′, q ∈ {d, s} by gluino penguin processes is studied through their effect on the Wilson coefficients of the effective Hamiltonian. The gluino penguin is dominated by the magnetic dipole transition which is strongly magnified relative to the electric monopole driven standar...

We prove that the Toeplitz binary value matrix inversion associated with mth order E-spline interpolation can be implemented using only 2 (m + 1) additions. We develop pipelined architectures for real time B-spline interpolation based on simple running average filters. We also show that an ideal interpolating function, which is approximated by a truncated sinc function with M half cycles, can b...