Quotients of Koszul Algebras and 2-d-Determined Algebras

REFERENCES

• Backelin, J. Bergman. Computer software. Available at http://servus.math.su.se/ bergman/. Accessed October 4, 2012.
   Google Scholar
• Berger , R. ( 2001 ). Koszulity for nonquadratic algebras . J. Algebra 239 ( 2 ): 705 – 734 .
   Web of Science ®Google Scholar
• Bergman , G. M. ( 1978 ). The diamond lemma for ring theory. Adv. in Math. 29(2): 178–218 .
   Google Scholar
• Cassidy , T. ( 2010 ). Quadratic algebras with Ext algebras generated in two degrees . J. Pure Appl. Algebra 214 ( 7 ): 1011 – 1016 .
   Web of Science ®Google Scholar
• Cassidy , T. , Shelton , B. ( 2008 ). Generalizing the notion of Koszul algebra . Math. Z. 260 ( 1 ): 93 – 114 .
   Web of Science ®Google Scholar
• Conner , A. , Goetz , P. ( 2011 ). A ∞-algebra structures associated to 𝒦2 algebras . J. Algebra 337 : 63 – 81 .
   Web of Science ®Google Scholar
• Conner , A. , Kirkman , E. , Kuzmanovich , J. , Moore , F. W. ( 2014 ). Finiteness conditions on the Yoneda algebra of a monomial algebra . J. Pure Appl. Algebra 218 ( 1 ): 52 – 64 .
   Web of Science ®Google Scholar
• Conner , A. , Shelton , B. ( 2012 ). 𝒦2 factors of Koszul algebras and applications to face rings . J. Algebra 368 : 251 – 270 .
   Web of Science ®Google Scholar
• Green , E. L. , Marcos , E. N. (2011). d-Koszul algebras, 2-d-determined algebras and 2-d-Koszul algebras. J. Pure Appl. Algebra 215(4):439–449.
   Web of Science ®Google Scholar
• Phan , C. ( 2009 ). Generalized Koszul properties for augmented algebras . J. Algebra 321 ( 5 ): 1522 – 1537 .
   Web of Science ®Google Scholar
• Polishchuk , A. , Positselski , L. ( 2005 ). Quadratic Algebras, Vol. 37. University Lecture Series. Providence, RI: American Mathematical Society .
   Google Scholar
• Priddy , S. B. ( 1970 ). Koszul resolutions . Trans. Amer. Math. Soc. 152 : 39 – 60 .
   Google Scholar
• Vatne , J. E. ( 2012 ). Quotients of Koszul algebras with almost linear resolution. Preprint, arXiv:1103.3572 .
   Google Scholar
• Communicated by E. Kirkman.
   Google Scholar