Derivations and generating degrees in the ring of arithmetical functions

Alexandru Zaharescu, Mohammad Zaki

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper we study a family of derivations in the ring of arithmetical functions of several variables over an integral domain, and compute the generating degrees of the ring of arithmetical functions over the kernel of these derivations.

Original languageEnglish (US)
Pages (from-to)167-175
Number of pages9
JournalProceedings of the Indian Academy of Sciences: Mathematical Sciences
Volume117
Issue number2
DOIs
StatePublished - May 2007

Keywords

  • Arithmetical functions
  • Derivations
  • Generating degrees

ASJC Scopus subject areas

  • General Mathematics

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