Generating degrees for graded projective resolutions

Autor(es)

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

Afiliação do(s) autor(es)

^[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

• Tipo de documento: Artigo Científico
• Fonte: JOURNAL OF ALGEBRA AND ITS APPLICATIONS; v. 17, n. 10 OCT 2018.
• Citações Web of Science: 0

Resumo

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)

• Processo FAPESP: 14/19521-3 - Estruturas na cohomologia e homologia de Hochschild de álgebras associativas.
• Beneficiário: Iurii Volkov
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado
• Processo FAPESP: 14/09310-5 - Estruturas algébricas e suas representações
• Beneficiário: Vyacheslav Futorny
• Modalidade de apoio: Auxílio à Pesquisa - Temático