Linearity, as first encountered in the algebra of vectors and matrices, provides the foundation for many other branches of mathematics. This course provides an introduction to two directions that ...

ABSTRACT.Given a finitely generated module 𝑀 over a commutative local ring (or a standard graded 𝑘-algebra) (𝑅, 𝔪, 𝑘), we detect its complexity in terms of numerical invariants coming from ...

This is a preview. Log in through your library . Abstract Let A be a C*-algebra, and let μ be a (local) quasi-trace on A. Then μ is linear if, and only if, the restriction of μ to the closed unit ball ...