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- Claus Michael Ringel

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
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Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
52
Citations
11,893
185
World Ranking
687
National Ranking
34

2013 - Fellow of the American Mathematical Society

Member of the Norwegian Academy of Science and Letters Mathematics

- Algebra
- Pure mathematics
- Vector space

Claus Michael Ringel spends much of his time researching Indecomposable module, Pure mathematics, Combinatorics, Discrete mathematics and Algebra. His study of Artin algebra is a part of Indecomposable module. His Artin algebra research is multidisciplinary, relying on both Functor, Subspace topology, Mathematical proof, Tilting theory and Notation.

His studies deal with areas such as Ring, Quiver and Nest algebra as well as Combinatorics. His Discrete mathematics research incorporates themes from Order, Restricted representation and Field. Claus Michael Ringel interconnects Quantum group, Algebra over a field and Hall algebra in the investigation of issues within Algebra.

- Tame Algebras and Integral Quadratic Forms (1325 citations)
- Indecomposable representations of graphs and algebras (585 citations)
- Hall algebras and quantum groups (511 citations)

His main research concerns Pure mathematics, Algebra, Indecomposable module, Quiver and Combinatorics. As part of the same scientific family, Claus Michael Ringel usually focuses on Pure mathematics, concentrating on Discrete mathematics and intersecting with Ring. His Algebra research incorporates elements of Trivial representation and Algebra representation.

Claus Michael Ringel works mostly in the field of Indecomposable module, limiting it down to concerns involving Field and, occasionally, Order and Representation. His Quiver study also includes

- Grassmannian which is related to area like Variety,
- Partition that intertwine with fields like Binomial coefficient. His Combinatorics research integrates issues from Functor, Linear map and Dynkin diagram.

- Pure mathematics (60.68%)
- Algebra (32.48%)
- Indecomposable module (31.20%)

- Pure mathematics (60.68%)
- Quiver (30.77%)
- Combinatorics (29.06%)

His scientific interests lie mostly in Pure mathematics, Quiver, Combinatorics, Algebra and Indecomposable module. Algebra over a field, Artin algebra, Projective test, Subcategory and Projective variety are the core of his Pure mathematics study. His work deals with themes such as Covering space, Representation theory, Kronecker delta, Grassmannian and Partition, which intersect with Quiver.

Claus Michael Ringel has researched Combinatorics in several fields, including Discrete mathematics, Functor and Basis. His research brings together the fields of Algebra representation and Algebra. His work in Indecomposable module addresses subjects such as Vector space, which are connected to disciplines such as Image.

- Representations of quivers over the algebra of dual numbers (52 citations)
- The Gorenstein projective modules for the Nakayama algebras. I (42 citations)
- The Gorenstein projective modules for the Nakayama algebras. I (42 citations)

- Algebra
- Vector space
- Pure mathematics

His primary areas of study are Pure mathematics, Quiver, Algebra, Indecomposable module and Artin algebra. The Pure mathematics study combines topics in areas such as Structure and Bounded function. His Quiver research is multidisciplinary, incorporating perspectives in Projective variety, Grassmannian and Field.

Discrete mathematics and Combinatorics are the focus of his Indecomposable module studies. His research in Artin algebra intersects with topics in Global dimension, Morphism, Mathematical proof and Endomorphism ring. The various areas that he examines in his Projective test study include Isomorphism, Algebra over a field and Homomorphism.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Tame Algebras and Integral Quadratic Forms

Claus Michael Ringel.

**(1984)**

2193 Citations

Indecomposable representations of graphs and algebras

Vlastimil Dlab;Claus Michael Ringel.

Memoirs of the American Mathematical Society **(1976)**

926 Citations

Hall algebras and quantum groups

Claus Michael Ringel.

Inventiones Mathematicae **(1990)**

817 Citations

Auslander-reiten sequences with few middle terms and applications to string algebrass

M.C.R. Butler;Claus Michael Ringel.

Communications in Algebra **(1987)**

697 Citations

The category of modules with good filtrations over a quasi-hereditary algebra has almost split sequences

Claus Michael Ringel.

Mathematische Zeitschrift **(1991)**

550 Citations

Representations of K-species and bimodules

Claus Michael Ringel.

Journal of Algebra **(1976)**

460 Citations

Quasi-hereditary algebras

Vlastimil Dlab;Claus Michael Ringel.

Illinois Journal of Mathematics **(1989)**

336 Citations

The module theoretical approach to quasi-hereditary algebras

Vlastimil Dlab;Claus Michael Ringel.

Representations of Algebras and Related Topics **(1992)**

267 Citations

Vinberg’s characterization of dynkin diagrams using subadditive functions with application to DTr-periodic modules

Dieter Happel;Udo Preiser;Claus Michael Ringel.

Representation Theory II: Proceedings of the Second International Conference on Representations of Algebras, Ottawa, Carleton University, August 13-25, 1979: No. 2 **(1980)**

265 Citations

PBW-bases of quantum groups.

Claus Michael Ringel.

Crelle's Journal **(1996)**

224 Citations

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