Crossed Product-Like and Pre-Crystalline Graded Rings
(2009) p.281-296- Abstract
- We introduce crossed product-like rings, as a natural generalization of
crystalline graded rings, and describe their basic properties. Furthermore, we prove that for certain pre-crystalline graded rings and every crystalline graded ring A, for which the base subring A_0 is commutative, each non-zero two-sided ideal has a nonzero intersection with C_A(A_0), i.e. the commutant of A_0 in A. We also show that in general this property need not hold for crossed product-like rings.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/1299465
- author
- Öinert, Johan LU and Silvestrov, Sergei LU
- organization
- publishing date
- 2009
- type
- Chapter in Book/Report/Conference proceeding
- publication status
- published
- subject
- host publication
- Generalized Lie Theory in Mathematics, Physics and Beyond
- editor
- Silvestrov, Sergei ; Paal, Eugen ; Abramov, Viktor and Stolin, Alexander
- pages
- 281 - 296
- publisher
- Springer
- external identifiers
-
- wos:000264638600024
- scopus:79951909121
- ISBN
- 978-3-540-85331-2
- DOI
- 10.1007/978-3-540-85332-9_24
- project
- Non-commutative Analysis of Dynamics, Fractals and Wavelets
- Non-commutative Geometry in Mathematics and Physics
- language
- English
- LU publication?
- yes
- id
- b2c514f1-a251-4499-a86f-15e86a407d1f (old id 1299465)
- alternative location
- http://www.springerlink.com/
- date added to LUP
- 2016-04-04 11:11:38
- date last changed
- 2022-04-08 06:52:56
@inbook{b2c514f1-a251-4499-a86f-15e86a407d1f,
abstract = {{We introduce crossed product-like rings, as a natural generalization of<br/><br>
crystalline graded rings, and describe their basic properties. Furthermore, we prove that for certain pre-crystalline graded rings and every crystalline graded ring A, for which the base subring A_0 is commutative, each non-zero two-sided ideal has a nonzero intersection with C_A(A_0), i.e. the commutant of A_0 in A. We also show that in general this property need not hold for crossed product-like rings.}},
author = {{Öinert, Johan and Silvestrov, Sergei}},
booktitle = {{Generalized Lie Theory in Mathematics, Physics and Beyond}},
editor = {{Silvestrov, Sergei and Paal, Eugen and Abramov, Viktor and Stolin, Alexander}},
isbn = {{978-3-540-85331-2}},
language = {{eng}},
pages = {{281--296}},
publisher = {{Springer}},
title = {{Crossed Product-Like and Pre-Crystalline Graded Rings}},
url = {{http://dx.doi.org/10.1007/978-3-540-85332-9_24}},
doi = {{10.1007/978-3-540-85332-9_24}},
year = {{2009}},
}