Modules and comodules
Tomasz Brzeziński
- 01 Jan 2008
17
TL;DR: The proceedings of the 2006 International Conference on Modules and Comodules (ICMCC) as mentioned in this paper were dedicated to Robert Wisbauer on the occasion of his 65th birthday.
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Abstract: The 23 articles in this volume encompass the proceedings of the International Conference on Modules and Comodules held in Porto (Portugal) in 2006
The conference was dedicated to Robert Wisbauer on the occasion of his 65th birthday
These articles reflect Professor Wisbauer's wide interests and give an overview of different fields related to module theory
While some of these fields have a long tradition, others represented here have emerged in recent years
The submissions include topics in the formal theory of modules bordering on category theory, in ring theory, in Hopf algebras and quantum groups, and in corings and comodules
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Citations
Noetherian Hopf algebra domains of Gelfand–Kirillov dimension two☆
Ken R. Goodearl,James J. Zhang +1 more
TL;DR: In this paper, all noetherian Hopf algebras H over an algebraically closed field k of characteristic zero which are integral domains of Gelfand-Kirillov dimension two and satisfy the condition Ext H 1 (k, k ) ≠ 0.
64
Nichols algebras with standard braiding
TL;DR: In this paper, the authors classify standard braided vector spaces with finite-dimensional Nichols algebra and give a PBW-basis, a closed formula of the dimension and a presentation by generators and relations of the associated Nichols algebra.
•Posted Content
On Nichols algebras with standard braiding
TL;DR: In this article, the authors classify standard braided vector spaces with finite-dimensional Nichols algebra and give a PBW-basis, a closed formula of the dimension and a presentation by generators and relations of the associated Nichols algebra.
45
•Posted Content
Noetherian Hopf algebra domains of Gelfand-Kirillov dimension two
Ken R. Goodearl,James J. Zhang +1 more
TL;DR: In this article, the authors classify all noetherian Hopf algebras over an algebraically closed field $k$ of characteristic zero which are integral domains of Gelfand-Kirillov dimension two and satisfy the condition $\Ext^1_H(k,k)
eq 0$.
33
Virasoro Central Charges for Nichols Algebras
TL;DR: In this paper, a Virasoro central charge is associated with each rank-2 Nichols algebra with diagonal braiding in a way that is invariant under the Weyl groupoid action.
31
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Saunders Mac Lane
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TL;DR: In this article, the authors present a table of abstractions for categories, including Axioms for Categories, Functors, Natural Transformations, and Adjoints for Preorders.
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Rings and Categories of Modules
Frank W. Anderson,Kent R. Fuller +1 more
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TL;DR: In this paper, the authors provide a self-contained account of much of the theory of rings and modules, focusing on the relationship between the one-sided ideal structure a ring may possess and the behavior of its categories of modules.
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Lectures on modules and rings
Tsit Yuen Lam
- 01 Jan 1999
TL;DR: In this article, Baer's Test for Injectivity is used to evaluate the suitability of a set of Injective Modules over a group of Invertible Fractional Ideals.
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Locally presentable and accessible categories
Jirí Adámek,Jiri Rosicky +1 more
- 01 Jan 1994
TL;DR: The concepts of locally presentable categories and an accessible category have turned out to be extremely useful in creating connections between universal algebra, model-theory, logic and computer science as discussed by the authors.
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TL;DR: In this article, Kaplansky showed that a commutative ring R is left T-nilpotent if, given any sequence {at} of elements in N, there exists an re such that ai • • • an = 0.
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