4.4 Article

Partial generalized crossed products and a seven-term exact sequence

Journal

JOURNAL OF ALGEBRA
Volume 572, Issue -, Pages 195-230

Publisher

ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jalgebra.2020.12.014

Keywords

Partial action; Partial representation; Galois extension; Galois cohomology; Azumaya algebra; Brauer group; Picard group

Categories

Funding

  1. FAPESP of Brazil
  2. CNPq of Brazil

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A seven-term exact sequence is provided for partial Galois extensions of commutative rings, generalizing the Chase-Harrison-Rosenberg sequence.
For a partial Galois extension of commutative rings we give a seven term exact sequence which generalize the Chase-Harrison-Rosenberg sequence. (C) 2020 Elsevier Inc. All rights reserved.

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