Generating degrees for graded projective resolutions

Author(s)

Marcos, Eduardo N. ^[1] ; Solotar, Andrea ^{[2, 3]} ; Volkov, Yury ^{[4, 5]}

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

• 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