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- Andrzej Skowroński

Mathematics

Poland

2022

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
39
Citations
7,088
227
World Ranking
1469
National Ranking
4

2022 - Research.com Mathematics in Poland Leader Award

2020 - Polish Academy of Science

- Pure mathematics
- Algebra
- Geometry

His scientific interests lie mostly in Algebra, Pure mathematics, Type, Algebra representation and Quiver. The various areas that Andrzej Skowroński examines in his Algebra study include Frobenius algebra and Bounded function. His Pure mathematics research incorporates elements of Representation and Inverse.

He has included themes like Discrete mathematics and Classification of Clifford algebras in his Type study. His work focuses on many connections between Algebra representation and other disciplines, such as Universal enveloping algebra, that overlap with his field of interest in Division algebra and Cellular algebra. His biological study spans a wide range of topics, including Trivial representation, Real representation, Representation theory of Hopf algebras and Coalgebra.

- Elements of the Representation Theory of Associative Algebras (1117 citations)
- Iterated tilted algebras of type $$ ilde {\mathbb{A}}_n $$ (165 citations)
- Frobenius Algebras I: Basic Representation Theory (116 citations)

His primary areas of investigation include Pure mathematics, Algebra, Type, Discrete mathematics and Indecomposable module. As a member of one scientific family, Andrzej Skowroński mostly works in the field of Pure mathematics, focusing on Structure and, on occasion, Field. His Algebra study integrates concerns from other disciplines, such as Trivial representation, Frobenius algebra and Algebra representation.

His Trivial representation study frequently involves adjacent topics like Representation theory of Hopf algebras. His Algebra representation study often links to related topics such as Universal enveloping algebra. His research in Type intersects with topics in Representation, Algebra over a field, Dimension and Euclidean geometry.

- Pure mathematics (61.94%)
- Algebra (38.46%)
- Type (26.32%)

- Pure mathematics (61.94%)
- Algebraically closed field (18.22%)
- Type (26.32%)

Andrzej Skowroński focuses on Pure mathematics, Algebraically closed field, Type, Indecomposable module and Quiver. His work on Algebra over a field as part of general Pure mathematics research is frequently linked to Period, thereby connecting diverse disciplines of science. His Algebra over a field research includes themes of Cohomology, Polynomial, Algebra and Cluster algebra.

His research ties Dimension and Algebra together. His studies deal with areas such as Development and Projective test as well as Type. The concepts of his Indecomposable module study are interwoven with issues in Finitely-generated abelian group, Homomorphism, Representation theory, Graph and Jacobson radical.

- Weighted surface algebras (23 citations)
- Higher Tetrahedral Algebras (13 citations)
- From Brauer graph algebras to biserial weighted surface algebras (12 citations)

- Pure mathematics
- Algebra
- Vector space

His primary areas of study are Pure mathematics, Quaternion, Type, Surface and Tetrahedron. His Pure mathematics study frequently draws connections between adjacent fields such as Discrete mathematics. His research on Quaternion also deals with topics like

- Combinatorics, which have a strong connection to Associative property and Affine transformation,
- Simple module, which have a strong connection to Nest algebra, Interior algebra, Cayley–Dickson construction, Non-associative algebra and CCR and CAR algebras.

Type is a subfield of Algebra that Andrzej Skowroński explores. His work deals with themes such as Hilbert's syzygy theorem and Algebraically closed field, which intersect with Tetrahedron. The study incorporates disciplines such as Triangulation, Quiver and Orientation in addition to Algebraically closed field.

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.

Elements of the Representation Theory of Associative Algebras

Daniel Simson;Andrzej Skowronski.

**(2007)**

1842 Citations

Iterated tilted algebras of type $$ ilde {\mathbb{A}}_n $$

Ibrahim Assem;Andrzej Skowroński.

Mathematische Zeitschrift **(1987)**

266 Citations

Frobenius Algebras I: Basic Representation Theory

Andrzej Skowroński;Kunio Yamagata.

**(2011)**

192 Citations

Representation-finite biserial algebras.

Andrzej Skowronski;Josef Waschbüsch.

Crelle's Journal **(1983)**

174 Citations

Galois coverings of representation-infinite algebras

Piotr Dowbor;Andrzej Skowroński.

Commentarii Mathematici Helvetici **(1987)**

169 Citations

Selfinjective algebras of polynomial growth.

Andrzej Skowronski.

Mathematische Annalen **(1989)**

149 Citations

Generalized standard Auslander-Reiten components

Andrzej Skowronski.

Journal of The Mathematical Society of Japan **(1994)**

149 Citations

Quasi-tilted algebras of canonical type

Helmut Lenzing;Andrzej Skowroński.

Colloquium Mathematicum **(1996)**

138 Citations

On Some Classes of Simply Connected Algebras

Ibrahim Assem;Andrzej Skowroński.

Proceedings of The London Mathematical Society **(1988)**

128 Citations

On Auslander-Reiten components of blocks and self-injective biserial algebras

Karin Erdmann;Andrzej Skowroński.

Transactions of the American Mathematical Society **(1992)**

115 Citations

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