English

Twisted planes

Rings and Algebras 2007-12-27 v1 Quantum Algebra

Abstract

Let k be a commutative ring. We find and characterize a new family of twisted planes (i. e. associative unitary k-algebra structures on the k-module k[X,Y], having k[X] and and k[Y] as subalgebras).Similar results are obtained for the k-module of two variables power series k[[X,Y]].

Keywords

Cite

@article{arxiv.0712.4094,
  title  = {Twisted planes},
  author = {Jorge A. Guccione and Juan J. Guccione and Christian Valqui},
  journal= {arXiv preprint arXiv:0712.4094},
  year   = {2007}
}

Comments

33 pages

R2 v1 2026-06-21T09:57:32.837Z