M Khalkhali, I Shapiro - Cyclic Cohomology at 40: Achievements …, 2023 - books.google.com
This paper is an introduction to Hopf cyclic cohomology with an emphasis on its most recent developments. We cover three major areas: the original definition of Hopf cyclic cohomology …
We studied some geometric properties of the Moyal sphere. Using the conformal metric of the sphere in ordinary space and the matrix basis, we calculated the scalar curvature, total …
T Brzezinski - arXiv preprint math/0608170, 2006 - arxiv.org
The relationship between comodules of a coring and flat connections is reviewed. In particular we specialise to corings which are built on a tensor product of algebra and a …
T Brzeziński - Handbook of algebra, 2009 - Elsevier
Publisher Summary A coring is one of the most basic algebraic structures dual to that of a ring (but also a ring itself can be viewed as a coring). The notion of a coring appeared first in …
S Karaçuha - arXiv preprint arXiv:1412.2002, 2014 - arxiv.org
The notions of Hom-coring, Hom-entwining structure and associated entwined Hom-module are introduced. A theorem regarding base ring extension of a Hom-coring is proven and …
T Brzezinski - arXiv preprint arXiv:0806.0389, 2008 - arxiv.org
arXiv:0806.0389v2 [math.KT] 5 Jun 2008 Page 1 arXiv:0806.0389v2 [math.KT] 5 Jun 2008 HOPF-CYCLIC HOMOLOGY WITH CONTRAMODULE COEFFICIENTS TOMASZ BRZEZINSKI …
Hom-connections or noncommutative connections of the second type and associated integral forms have been introduced and studied by T. Brzezinski as an adjoint version of the …
My research interests are split into two main areas. On the theoretical side, I work on homological problems in noncommutative geometry (NCG). The roots of the subject lie in …