Generating degrees for graded projective resolutions-Reference-Cited by-同舟云学术

Generating degrees for graded projective resolutions

Published:2018-10 Issue:10 Volume:17 Page:1850191
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

Marcos Eduardo N.¹,Solotar Andrea²,Volkov Yury³⁴

Affiliation:

1. IME-USP (Departamento de Matemática), Rua Matão 1010 Cid. Univ., São Paulo, 055080-090, Brasil

2. IMAS and Dto de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, Pabellón 1, (1428) Buenos Aires, Argentina

3. Saint-Petersburg State University, Universitetskaya nab. 7-9, St. Petersburg, Russia

4. Dto de Matemática, Instituto de Matemática e Estatística, Universidade São Paulo, Rua de Matão 1010, Cidade Universitária, São Paulo-SP 055080-090, Brasil

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498818501918

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4. Projective resolutions of associative algebras and ambiguities

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