Object-unital groupoid graded rings, crossed products and separability

@article{Cala2020ObjectunitalGG,
  title={Object-unital groupoid graded rings, crossed products and separability},
  author={J. Cala and Patrik Lundstr{\"o}m and H. Pinedo},
  journal={Communications in Algebra},
  year={2020},
  volume={49},
  pages={1676 - 1696}
}
Abstract We extend the classical construction by Noether of crossed product algebras, defined by finite Galois field extensions, to cover the case of separable (but not necessarily finite or normal) field extensions. This leads us naturally to consider non-unital groupoid graded rings of a particular type that we call object unital. We determine when such rings are strongly graded, crossed products, skew groupoid rings and twisted groupoid rings. We also obtain necessary and sufficient criteria… Expand
1 Citations

References

SHOWING 1-10 OF 40 REFERENCES
{m
EPSILON-STRONGLY GROUPOID-GRADED RINGS, THE PICARD INVERSE CATEGORY AND COHOMOLOGY
Separability in algebra and category theory
Firm monads and firm Frobenius algebras
  • Bull. Math. Soc. Sci. Math. Roumanie
  • 2013
Partial groupoid actions: Globalization
  • Morita theory, and Galois theory. Commun. Algebra
  • 2012
SKEW CATEGORY ALGEBRAS ASSOCIATED WITH PARTIALLY DEFINED DYNAMICAL SYSTEMS
...
1
2
3
4
...