4,837 research outputs found
Solid weak BCC-algebras
We characterize weak BCC-algebras in which the identity is
satisfied only in the case when elements belong to the same branch
Nuclei with Tetrahedral Symmetry
We discuss a point-group-theory based method of searching for new regions of
nuclear stability. We illustrate the related strategy with realistic
calculations employing the tetrahedral and the octahedral point groups. In
particular, several nuclei in the Rare Earth region appear as excellent
candidates to study the new mechanism.Comment: 18 pages, 4 figures, submitted to International Journal of Modern
Physics
Completely inverse -groupoids
A completely inverse -groupoid is a groupoid satisfying the
identities , and , where
is a unique inverse of , that is, and
. First we study some fundamental properties of such
groupoids. Then we determine certain fundamental congruences on a completely
inverse -groupoid; namely: the maximum idempotent-separating
congruence, the least -group congruence and the least -unitary
congruence. Finally, we investigate the complete lattice of congruences of a
completely inverse -groupoids. In particular, we describe congruences
on completely inverse -groupoids by their kernel and trace
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