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- Maurice Auslander

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
41
Citations
15,354
71
World Ranking
1244
National Ranking
572

1999 - ACM Fellow For contributions to reduced instructionset computing (RISC) systems.

1985 - Fellow of the American Association for the Advancement of Science (AAAS)

1978 - Fellow of John Simon Guggenheim Memorial Foundation

1961 - Fellow of Alfred P. Sloan Foundation

- Pure mathematics
- Algebra
- Discrete mathematics

His primary scientific interests are in Artin algebra, Pure mathematics, Tilting theory, Ring and Subcategory. In his work, Change of rings is strongly intertwined with Algebra, which is a subfield of Artin algebra. His Pure mathematics study combines topics in areas such as Artin L-function, Artin approximation theorem and Dimension.

His Tilting theory research includes elements of Functor and Coxeter group. His Ring research includes themes of Section, Morphism, Epimorphism and Indecomposable module. His research investigates the connection between Subcategory and topics such as Combinatorics that intersect with issues in Commutative property and Noetherian.

- Representation theory of Artin algebras (2085 citations)
- Stable module theory (934 citations)
- The Brauer group of a commutative ring (605 citations)

Maurice Auslander mainly focuses on Pure mathematics, Algebra, Artin algebra, Representation theory and Discrete mathematics. His Pure mathematics research integrates issues from Artinian ring, Local ring and Artin approximation theorem. His study explores the link between Artin approximation theorem and topics such as Artin reciprocity law that cross with problems in Non-abelian class field theory.

The various areas that Maurice Auslander examines in his Algebra study include Dimension and Non-associative algebra, Algebra over a field, Algebra representation, Nest algebra. Maurice Auslander combines subjects such as Morphism, Tilting theory and Epimorphism with his study of Artin algebra. His work deals with themes such as Artin L-function and Trivial representation, which intersect with Representation theory.

- Pure mathematics (61.04%)
- Algebra (20.78%)
- Artin algebra (24.68%)

- Pure mathematics (61.04%)
- Algebra (20.78%)
- Artin algebra (24.68%)

Maurice Auslander focuses on Pure mathematics, Algebra, Artin algebra, Discrete mathematics and Representation theory. His biological study spans a wide range of topics, including Noetherian and Artinian ring. His work carried out in the field of Artinian ring brings together such families of science as Conductor and Artin's conjecture on primitive roots.

His study on Algebra also encompasses disciplines like

- Algebra over a field which is related to area like Selection,
- Trivial representation that intertwine with fields like Representation theory of finite groups, Faithful representation and Real representation. His biological study spans a wide range of topics, including Dimension and Tilting theory. His research in Representation theory intersects with topics in Artin L-function, Artin approximation theorem and Artin reciprocity law.

- Representation theory of Artin algebras (2085 citations)
- Applications of contravariantly finite subcategories (587 citations)
- The Homological Theory of Maximal Cohen-Macaulay Approximations (314 citations)

- Pure mathematics
- Algebra
- Discrete mathematics

His main research concerns Pure mathematics, Artin algebra, Commutative property, Noetherian ring and Discrete mathematics. His study in Pure mathematics is interdisciplinary in nature, drawing from both Dimension and Artin L-function, Artin reciprocity law. His Artin algebra study combines topics from a wide range of disciplines, such as Tilting theory and Algebra.

His Commutative property research incorporates themes from Minor, Exact sequence, Gorenstein ring, Commutative ring and Subcategory. Maurice Auslander has included themes like Maximal ideal, Abelian group, Surjective function and Injective function in his Noetherian ring study. His Discrete mathematics research is multidisciplinary, incorporating perspectives in Noetherian, Artinian ring, Artin's conjecture on primitive roots, Artin approximation theorem and Conductor.

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.

Representation Theory of Artin Algebras

Maurice Auslander;Idun Reiten;Sverre O. Smalo.

**(2010)**

3358 Citations

Stable module theory

Maurice Auslander;Mark Bridger.

**(1969)**

1541 Citations

The Brauer group of a commutative ring

Maurice Auslander;Oscar Goldman.

Transactions of the American Mathematical Society **(1960)**

996 Citations

Applications of contravariantly finite subcategories

Maurice Auslander;Idun Reiten.

Advances in Mathematics **(1991)**

968 Citations

Preprojective modules over artin algebras

M Auslander;M Auslander;Sverre O Smalø;Sverre O Smalø.

Journal of Algebra **(1980)**

679 Citations

Representation theory of artin algebras iii almost split sequences

Maurice Auslander;Idun Reiten.

Communications in Algebra **(1975)**

596 Citations

Almost split sequences in subcategories

M Auslander;M Auslander;Sverre O Smalø;Sverre O Smalø.

Journal of Algebra **(1981)**

578 Citations

Representation Theory of Artin Algebras II

Maurice Auslander.

Communications in Algebra **(1974)**

559 Citations

The homological theory of maximal Cohen-Macaulay approximations

Maurice Auslander;Ragnar-Olaf Buchweitz.

Mémoires de la Société mathématique de France **(1989)**

498 Citations

Representation dimension of artin algebras

Maurice Auslander.

**(1995)**

455 Citations

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