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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Generating degrees for graded projective resolutions

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Author(s):
Marcos, Eduardo N. [1] ; Solotar, Andrea [2, 3] ; Volkov, Yury [4, 5]
Total Authors: 3
Affiliation:
[1] IME USP, Dept Matemat, Rua Matao 1010 Cid Univ, BR-05508009 Sao Paulo - Brazil
[2] Univ Buenos Aires, IMAS, Fac Ciencias Exactas & Nat, Ciudad Univ, Pabellon 1, RA-1428 Buenos Aires, DF - Argentina
[3] Univ Buenos Aires, Dept Matemat, Fac Ciencias Exactas & Nat, Ciudad Univ, Pabellon 1, RA-1428 Buenos Aires, DF - Argentina
[4] St Petersburg State Univ, Univ Skaya Nab 7-9, St Petersburg - Russia
[5] Univ Sao Paulo, Dept Matemat, Inst Matemat & Estat, Rua Matao 1010, Cidade Univ, BR-05508009 Sao Paulo, SP - Brazil
Total Affiliations: 5
Document type: Journal article
Source: JOURNAL OF ALGEBRA AND ITS APPLICATIONS; v. 17, n. 10 OCT 2018.
Web of Science Citations: 0
Abstract

We provide a framework connecting several well-known theories related to the linearity of graded modules over graded algebras. In the first part, we pay a particular attention to the tensor products of graded bimodules over graded algebras. Finally, we provide a tool to evaluate the possible degrees of a module appearing in a graded projective resolution once the generating degrees for the first term of some particular projective resolution are known. (AU)

FAPESP's process: 14/19521-3 - Structures on the Hochschild cohomology and homology for associative algebras
Grantee:Iurii Volkov
Support Opportunities: Scholarships in Brazil - Post-Doctoral
FAPESP's process: 14/09310-5 - Algebraic structures and their representations
Grantee:Vyacheslav Futorny
Support Opportunities: Research Projects - Thematic Grants