A*-band is a semigroup with a unary operation * obeying the axioms (xy)* = y*x*, x** = x, x = xx*x, x² = x. On a free involutorial semigroup F on a nonempty set X, we define a family of operators ...
The Monthly publishes articles, as well as notes and other features, about mathematics and the profession. Its readers span a broad spectrum of mathematical interests, and include professional ...
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