Algebras with finitely generated invariant subalgebras

Topological Algebras with Finitely-Generated Bases

The theory of topological algebras and the theory of bases in topological vector spaces are both well-established areas of analysis but only recently have papers appeared combining these two concepts. Of course, no new information about an algebra will be provided by a basis unless some relationship is given between the basis and the multiplicative structure of the algebra. For example, orthogo...

On finitely generated Heyting algebras

We study finitely generated Heyting algebras from algebraic and model theoretic points of view. We prove amon others that finitely generated free Heyting algebras embed in their profinite completions, which are projective limits of finitely generated free Heyting algebras of finite dimension.

Lattice of subalgebras in the finitely generated varieties of MV-algebras

In this paper, we use the theory of natural duality to study subalgebra lattices in the finitely generated varieties of MV-algebras. With this tool, we obtain the dual atomicity of these lattices, and characterize the members of these varieties in which every subalgebra is an intersection of maximal subalgebras. Then, we determine the algebras that have a modular or distributive lattice of suba...

Ring With All Finitely Generated Modules Retractable

Rational vertex operator algebras are finitely generated

It is proved that any vertex operator algebra for which the image of the Virasoro element in Zhu’s algebra is algebraic over complex numbers is finitely generated. In particular, any vertex operator algebra with a finite dimensional Zhu’s algebra is finitely generated. As a result, any rational vertex operator algebra is finitely generated. Although many well known vertex operator algebras are ...