Artículo
Marcos, E.N.; Solotar, A.; Volkov, Y. "Generating degrees for graded projective resolutions" (2018) Journal of Algebra and its Applications. 17(10)
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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. © 2018 World Scientific Publishing Company.
Registro:
| Documento: | Artículo |
| Título: | Generating degrees for graded projective resolutions |
| Autor: | Marcos, E.N.; Solotar, A.; Volkov, Y. |
| Filiación: | IME-USP (Departamento de Matemática), Cid. Univ., Rua Matão 1010, São Paulo, 055080-090, Brazil IMAS, Dto de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, Pabellón 1, Buenos Aires, 1428, Argentina Saint-Petersburg State University, Universitetskaya nab. 7-9, St. Petersburg, Russian Federation Dto de Matemática, Instituto de Matemática e Estatística, Universidade São Paulo, Cidade Universitária, Rua de Matão 1010, São Paulo-SP, 055080-090, Brazil |
| Palabras clave: | Gröbner bases; Koszul; linear modules |
| Año: | 2018 |
| Volumen: | 17 |
| Número: | 10 |
| DOI: | http://dx.doi.org/10.1142/S0219498818501918 |
| Título revista: | Journal of Algebra and its Applications |
| Título revista abreviado: | J. Algebra Appl. |
| ISSN: | 02194988 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_02194988_v17_n10_p_Marcos |
Referencias:
- Anick, D., On the homology of associative algebras (1986) Trans. Amer. Math. Soc., 296, pp. 641-659
- Backelin, J., Froberg, R., Koszul Algebras, Veronese subrings, and rings with linear resolution (1980) Rev. Roumaine Math. Pures Appl., 30, pp. 85-97
- Berger, R., Koszulity for nonquadratic algebras (2001) J. Algebra, 239, pp. 705-734
- Cartan, H., Eilenberg, S., (1999) Homological Algebra, Princeton Landmarks in Mathematics, pp. xvi and 390. , Princeton University Press, Princeton, NJ
- Chouhy, S., Solotar, A., Projective resolutions of associative algebras and ambiguities (2015) J. Algebra, 432, pp. 22-61
- Green, E., Farkas, D., Feustel, C., Synergy of Gröbner basis and Path Algebras (1993) Canad. J. Math, 45, pp. 727-739
- Green, E., Marcos, N.E., Koszul algebras (2005) Comm. Algebra, 33 (6), pp. 1753-1764
- Green, E., Marcos, N.E., D-Koszul, 2-d determined algebras and 2-d-Koszul algebras (2011) J. Pure Appl. Algebra, 215 (4), pp. 439-449
- Green, E., Marcos, N.E., Martinez-Villa, R., Zhang, P., D-Koszul algebras (2004) J. Pure Appl. Algebra, 193, pp. 141-162
- Green, E., Martnez-Villa, R., Koszul and yoneda algebras, representation theory of algebras (Cocoyoc, 1994), 227-244 (1996) CMS Conf. Proc., 18, Amer. Math. Soc. Providence, RI
- Green, E., Solberg, Ø., An Algorithmic Approach to Resolutions (2007) J. Symbolic Comput., 42, pp. 1012-1033
- Polishchuk, A., Positselski, L., (2005) Quadratic Algebras, , University Lecture Series, 37 (American Mathematical Society, Providence, RI
- Priddy, S., Koszul resolutions (1970) Trans. Amer. Math. Soc., 152, pp. 39-60
- Skölberg, E., Going from cohomology to Hochschild cohomology (2005) J. Algebra, 288, pp. 263-278
Citas:
---------- APA ----------
Marcos, E.N., Solotar, A. & Volkov, Y. (2018) . Generating degrees for graded projective resolutions. Journal of Algebra and its Applications, 17(10).http://dx.doi.org/10.1142/S0219498818501918
---------- CHICAGO ----------
Marcos, E.N., Solotar, A., Volkov, Y. "Generating degrees for graded projective resolutions" . Journal of Algebra and its Applications 17, no. 10 (2018).http://dx.doi.org/10.1142/S0219498818501918
---------- MLA ----------
Marcos, E.N., Solotar, A., Volkov, Y. "Generating degrees for graded projective resolutions" . Journal of Algebra and its Applications, vol. 17, no. 10, 2018.http://dx.doi.org/10.1142/S0219498818501918
---------- VANCOUVER ----------
Marcos, E.N., Solotar, A., Volkov, Y. Generating degrees for graded projective resolutions. J. Algebra Appl. 2018;17(10).http://dx.doi.org/10.1142/S0219498818501918
