Sublinear extension of algebraic grothendieck theory

  title={Sublinear extension of algebraic grothendieck theory},
  author={Igor V. Orlov},
  journal={2017 Constructive Nonsmooth Analysis and Related Topics (dedicated to the memory of V.F. Demyanov) (CNSA)},
  • Igor V. Orlov
  • Published 2017 in
    2017 Constructive Nonsmooth Analysis and Related…
A commutative diagram that connects the basic objects of commutative algebra with the main objects of commutative analysis is constructed. Namely, with the help of five types of canonical embeddings we constructed a diagram between two sets of objects: Abelian semigroups — Abelian regular (cancellative) semigroups — Abelian groups, on the first hand, and convex cones — regular convex cones — linear spaces, on the other hand. Thus, some extension of the Grothendieck algebraic K-theory arises… CONTINUE READING