Crossed ProductLike and PreCrystalline Graded Rings
(2009) In Generalized Lie Theory in Mathematics, Physics and Beyond p.281296 Abstract
 We introduce crossed productlike rings, as a natural generalization of
crystalline graded rings, and describe their basic properties. Furthermore, we prove that for certain precrystalline graded rings and every crystalline graded ring A, for which the base subring A_0 is commutative, each nonzero twosided 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 productlike rings.
Please use this url to cite or link to this publication:
http://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
 in
 Generalized Lie Theory in Mathematics, Physics and Beyond
 editor
 Silvestrov, Sergei; Paal, Eugen; Abramov, Viktor; Stolin, Alexander; ; ; and
 pages
 281  296
 publisher
 Springer
 external identifiers

 wos:000264638600024
 scopus:79951909121
 ISBN
 9783540853312
 DOI
 10.1007/9783540853329_24
 project
 Noncommutative Analysis of Dynamics, Fractals and Wavelets
 Noncommutative Geometry in Mathematics and Physics
 language
 English
 LU publication?
 yes
 id
 b2c514f1a2514499a86f15e86a407d1f (old id 1299465)
 alternative location
 http://www.springerlink.com/
 date added to LUP
 20090414 15:50:40
 date last changed
 20180529 10:45:30
@inbook{b2c514f1a2514499a86f15e86a407d1f, abstract = {We introduce crossed productlike rings, as a natural generalization of<br/><br> crystalline graded rings, and describe their basic properties. Furthermore, we prove that for certain precrystalline graded rings and every crystalline graded ring A, for which the base subring A_0 is commutative, each nonzero twosided 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 productlike rings.}, author = {Öinert, Johan and Silvestrov, Sergei}, editor = {Silvestrov, Sergei and Paal, Eugen and Abramov, Viktor and Stolin, Alexander}, isbn = {9783540853312}, language = {eng}, pages = {281296}, publisher = {Springer}, series = {Generalized Lie Theory in Mathematics, Physics and Beyond}, title = {Crossed ProductLike and PreCrystalline Graded Rings}, url = {http://dx.doi.org/10.1007/9783540853329_24}, year = {2009}, }