Unramified scalar extensions of graded division algebras

Research output: Contribution to journalArticle

Abstract

Let E be a graded central division algebra (GCDA) over a grade field R. Let S be an unramified graded field extension of R. We describe the grading on the underlying GCDA E' of E ⊗ R S which is analogous to the valuation on a tame division algebra over Henselian valued field.

Original languageEnglish
Pages (from-to)23-26
Number of pages4
JournalCommunications of the Korean Mathematical Society
Volume29
Issue number1
DOIs
Publication statusPublished - 2014 Feb 7

Fingerprint

Division Algebra
Graded Algebra
Algebra
Scalar
Valued Fields
Field extension
Grading
Valuation

Keywords

  • Graded central division algebras
  • Graded fields
  • Unramified extension

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

Unramified scalar extensions of graded division algebras. / Hwang, Yoon Sung.

In: Communications of the Korean Mathematical Society, Vol. 29, No. 1, 07.02.2014, p. 23-26.

Research output: Contribution to journalArticle

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