Automorphism groups and Picard groups of additive full subcategories

Naoya Hiramatsu, Yuji Yoshino

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

We study category equivalences between additive full subcategories of module categories over commutative rings. And we are able to define the Picard group of additive full subcategories. The aim of this paper is to study the properties of the Picard groups and show that the automorphism group of an additive full subcategory is a semi-direct product of the Picard group with the group of algebra automorphisms of the ring.

Original languageEnglish
Pages (from-to)5-29
Number of pages25
JournalMathematica Scandinavica
Volume107
Issue number1
DOIs
Publication statusPublished - Jan 1 2010

ASJC Scopus subject areas

  • Mathematics(all)

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