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On permutable N-groups

W. A. Dudek, Z. Stojakovic (1988)

Beiträge zur Algebra und Geometrie = Contributions to algebra and geometry

On pq-hyperelliptic Riemann surfaces

Ewa Tyszkowska (2005)

Colloquium Mathematicae

A compact Riemann surface X of genus g > 1 is said to be p-hyperelliptic if X admits a conformal involution ϱ, called a p-hyperelliptic involution, for which X/ϱ is an orbifold of genus p. If in addition X admits a q-hypereliptic involution then we say that X is pq-hyperelliptic. We give a necessary and sufficient condition on p,q and g for existence of a pq-hyperelliptic Riemann surface of genus g. Moreover we give some conditions under which p- and q-hyperelliptic involutions of a pq-hyperelliptic...

On presentations of Brauer-type monoids

Ganna Kudryavtseva, Volodymyr Mazorchuk (2006)

Open Mathematics

We obtain presentations for the Brauer monoid, the partial analogue of the Brauer monoid, and for the greatest factorizable inverse submonoid of the dual symmetric inverse monoid. In all three cases we apply the same approach, based on the realization of all these monoids as Brauer-type monoids.

On presentations of semigroup rings

Mario Petrich, Pedro V. Silva (1999)

Bollettino dell'Unione Matematica Italiana

Siano I un ideale di un anello R e σ una congruenza su un semigruppo S . Consideriamo l'anello semigruppo R / I S / σ come un'immagine omomorfa dell'anello semigruppo R S . Questo è fatto in tre passi: prima studiando l'anello semigruppo R S / σ , poi R / I S e infine combinando i due casi speciali. In ciascun caso, determiniamo l'ideale che è il nucleo dell'omomorfismo in questione. I risultati corrispondenti per le C -algebre, dove C è un anello commutativo, possono essere facilmente dedotti. Alcuni raffinamenti, casi speciali...

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