Related papers: Remarks on topological algebras

Expanded lecture notes. Preliminary version, comments are welcome.

We give several characterizations of relative homological epimorphisms in the setting of locally convex topological algebras, thereby correcting a gap in our earlier paper [Trans. Moscow Math. Soc. 2008, 27-104].

The present note sketches a theory of constructs.

These notes are an introduction to higher dimensional local fields and higher dimensional adeles. As well as the foundational theory, we summarise the theory of topologies on higher dimensional local fields and higher dimensional local…

The chapter provides an introduction to the basic concepts of Algebraic Topology with an emphasis on motivation from applications in the physical sciences. It finishes with a brief review of computational work in algebraic topology,…

These notes provide an introduction to a number of those topics in Classical Mechanics that are useful for field theory.

We study topological properties of the graph topology.

A brief survey of some aspects of noetherian Hopf algebras is given, concentrating on structure, homology, and classification, and accompanied by a panoply of open problems.

New cases of the multiplicity conjecture are considered.

The purpose of this note is to start the systematic analysis of cofinal types of topological groups.

The purpose of this note is to establish an isomorphism from the vector space of extensions between two modules over a vertex algebra, to an appropriate first chiral homology of one dimensional projective space with coefficients in the…

The paper is devoted to a generalized and improved version of author's approach to Gromov bounded cohomology theory. In particular, the awkward countability assumption is removed and the aspects related to homological algebra are clarified.…

We develop a theory of toroidal vertex algebras and their modules, and we give a conceptual construction of toroidal vertex algebras and their modules. As an application, we associate toroidal vertex algebras and their modules to toroidal…

We give a presentation of abelian class field theory.

This lecture note starts with a pedagogical introduction to the theoretical background and properties of perfect actions, gives some details on topology and instanton solutions and ends with a discussion on the recent developments…

These notes include introductory material on the notion of splitting fields for modules over a k-algebra where k is a field.

Combinatorial and topological aspects of monoids with an absorbing element and their associated algebras are considered. Phd thesis.

This note is about a little extension of Nash's embedding theorem in the case of complete manifolds.

A new kind of diagrams is presented, showing the causal structure of bimetric interactions.

This note is supposed to answer some questions on deformation theory in derived algebraic geometry. We show that derived algebraic geometry allows for a geometrical interpretation of the full cotangent complex and gives a natural setting…