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The letter “x” often symbolizes something unknown, with an air of mystery that can be appealing. Illustration by Meilan Solly Even though “x” is one of the least-used letters in the English alphabet, ...

Peter Schumer does not work for, consult, own shares in or receive funding from any company or organization that would benefit from this article, and has disclosed no relevant affiliations beyond ...

This is a preview. Log in through your library . Abstract Let k be a commutative ring with unit of characteristic $p > 0$ and let G = Spec(A) be an affine commutative ...

Ittay Weiss does not work for, consult, own shares in or receive funding from any company or organization that would benefit from this article, and has disclosed no relevant affiliations beyond their ...

Semigroups, algebraic structures defined by a set equipped with an associative binary operation, are a cornerstone within modern algebra. Their study encompasses both abstract theoretical development ...

THE first of these works is outwardly a very handsome A- volume, and on examination we find that the authors have also done their part in the most painstaking and methodical way. The main part of the ...

We calculate the Brauer group of the four dimensional Hopf algebra H4 introduced by M. E. Sweedler. This Brauer group BM (k, H4, R0) is defined with respect to a (quasi-) triangular structure on H4, ...