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Maximal submonoids of monoids of hypersubstitutions

Ilinka Dimitrova, Jörg Koppitz (2006)

Discussiones Mathematicae - General Algebra and Applications

For a monoid M of hypersubstitutions, the collection of all M-solid varieties forms a complete sublattice of the lattice L(τ) of all varieties of a given type τ. Therefore, by the study of monoids of hypersubstitutions one can get more insight into the structure of the lattice L(τ). In particular, monoids of hypersubstitutions were studied in [9] as well as in [5]. We will give a complete characterization of all maximal submonoids of the monoid Reg(n) of all regular hypersubstitutions of type τ...

Monoid rings that are firs.

Andreu Pitarch (1990)

Publicacions Matemàtiques

It is well known that the monoid ring of the free product of a free group and a free monoid over a skew field is a fir. We give a proof of this fact that is more direct than the proof in the literature.

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