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Communications in Algebra Volume 48, 2020 - Issue 11
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Articles

Graded coherence of certain extensions of graded algebras

Peter GoetzDepartment of Mathematics, Humboldt State University, Arcata, California, USACorrespondence[email protected]
Pages 4954-4965 | Received 09 Jan 2020, Accepted 24 May 2020, Published online: 12 Jun 2020

References

  • Artin, M., Zhang, J. J. (1994). Noncommutative projective schemes. Adv. Math. 109(2):228–287. DOI: 10.1006/aima.1994.1087.
  • Bergman, G. M. (1978). The diamond lemma for ring theory. Adv. Math. 29(2):178–218. DOI: 10.1016/0001-8708(78)90010-5.
  • Conner, A., Goetz, P. Classification, Koszulity and Artin-Schelter regularity of certain twisted tensor products. J. Noncommut. Geom.
  • Conner, A., Goetz, P. (2018). The Koszul property for graded twisted tensor products. J. Algebra 513:50–90. DOI: 10.1016/j.jalgebra.2018.07.030.
  • Glaz, S. (1989). Commutative Coherent Rings. Lecture Notes in Mathematics, Vol. 1371. Berlin: Springer-Verlag.
  • He, J.-W., Van Oystaeyen, F., Zhang, Y. (2014). Graded 3-Calabi-Yau algebras as Ore extensions of 2-Calabi-Yau algebras. Proc. Amer. Math. Soc. 143(4):1423–1434. DOI: 10.1090/S0002-9939-2014-12336-7.
  • Minamoto, H. (2018). A criterion for graded coherence of tensor algebras and applications to higher dimensional AR-theory. Eur. J. Math. 4(2):612–621. DOI: 10.1007/s40879-017-0202-0.
  • Piontkovskii, D. I. (1996). Gröbner bases and the coherence of monomial associative algebra Fundam. Prikl. Mat. 2(2):501–509.
  • Piontkovski, D. (2008). Coherent algebras and noncommutative projective lines. J. Algebra 319(8):3280–3290. DOI: 10.1016/j.jalgebra.2007.07.010.
  • Polishchuk, A. (2005). Noncommutative proj and coherent algebras. Math. Res. Lett. 12(1):63–74. DOI: 10.4310/MRL.2005.v12.n1.a7.
  • Soublin, J.-P. (1970). Anneaux et modules cohérents. J. Algebra 15(4):455–472. DOI: 10.1016/0021-8693(70)90050-5.
  • Verëvkin, A. B. (1992). On a noncommutative analogue of the category of coherent sheaves on a projective scheme. In: Aleksandrov, I. A., Bokut', L. A., Reshetnyak. Yu. G., eds. Algebra and Analysis (Tomsk, 1989). American Mathematical Society Translations Series 2, Vol. 151. Providence, RI: American Mathematical Society, pp. 41–53.
  • Weibel, C. A. (1994). An Introduction to Homological Algebra. Cambridge Studies in Advanced Mathematics, Vol. 38. Cambridge: Cambridge University Press.

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