English

Dynamical ideals of non-commutative rings

Number Theory 2023-05-24 v2 Geometric Topology Operator Algebras Rings and Algebras

Abstract

A dynamical analog of the prime ideals for simple non-commutative rings is introduced. We prove a factorization theorem for the dynamical ideals. The result is used to classify the surface knots and links in the smooth 4-dimensional manifolds.

Keywords

Cite

@article{arxiv.1912.02555,
  title  = {Dynamical ideals of non-commutative rings},
  author = {Igor Nikolaev},
  journal= {arXiv preprint arXiv:1912.02555},
  year   = {2023}
}

Comments

to appear in Journal of Algebra and its Applications

R2 v1 2026-06-23T12:36:50.673Z