English

About quadratic residues in a class of rings

Commutative Algebra 2022-07-11 v1 Rings and Algebras

Abstract

Let RR be a commutative ring with a collection of ideals {N1,N2,,Nk1}\{ N_1, N_2, \dots, N_{k-1}\} satisfying certain conditions, properties of the set of invertible quadratic residues of the ring RR are described in terms of properties of the set of invertible quadratic residues of the quotient ring R/N1R/N_1.

Keywords

Cite

@article{arxiv.2207.04002,
  title  = {About quadratic residues in a class of rings},
  author = {Fernanda D. de Melo Hernández and Cesar A. Hernández Melo and Horacio Tapia-Recillas},
  journal= {arXiv preprint arXiv:2207.04002},
  year   = {2022}
}

Comments

arXiv admin note: text overlap with arXiv:2012.06949, arXiv:1911.07743