### Noncommutative algebraic geometry: From pi-algebras to quantum groups.

Verschoren, A., Willaert, L. (1997)

Bulletin of the Belgian Mathematical Society - Simon Stevin

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Verschoren, A., Willaert, L. (1997)

Bulletin of the Belgian Mathematical Society - Simon Stevin

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Dinamérico Pereira, Jr. Pombo (2003)

Commentationes Mathematicae Universitatis Carolinae

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We study the validity of two basic results of the classical theory of topological vector spaces in the context of topological modules.

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Bimodules over triangular Nakayama algebras that give stable equivalences of Morita type are studied here. As a consequence one obtains that every stable equivalence of Morita type between triangular Nakayama algebras is a Morita equivalence.

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We present the theory of higher order invariants and higher order automorphic forms in the simplest case, that of a compact quotient. In this case, many things simplify and we are thus able to prove a more precise structure theorem than in the general case.