An invariant characterization of monomial algebras

References

• Auslander , M. , Reiten , I. and Smalo , S.Ø . 1995 . “ Representation theory of artin algebras ” . In Cambridge Studies in Advanced Mathematics , Vol. 36 , Cambridge , New York : Cambridge Press . Melbourne
   Google Scholar
• Bardzell , M.J. 1996 . “ Resolutions and cohomology of finite dimensional alge­bras ” . In Ph.D. thesis , Virginia Polytechnic Institute and State University .
   Google Scholar
• Bardzell , M.J. 1997 . The alternating syzygy behavior of monomial algebras . J. of Algebra , 188 : 69 – 89 .
   Web of Science ®Google Scholar
• Burgess , W. , Fuller , K. , Green , E.L. and Zacharia , D. 1993 . Left monomial rings - a generalization of monomial algebras . Osaka J. of Math , 30 : 543 – 557 .
   Web of Science ®Google Scholar
• Cibilis , C. 1988 . 0n the Hochschild cohomology of finite dimensional algebras . Comm. in Algebra , 16 : 645 – 649 .
   Web of Science ®Google Scholar
• Farkas , D.R. , Feustel , C. and Green , E.L. 1993 . Synergy in the theories of Grobner bases and path algebras . Canad. J. of Mathematics , 45 : 727 – 739 .
   Web of Science ®Google Scholar
• Gabriel , P. 1980 . “ Auslander-Reiten sequences and representation finite alge­bras ” . In Lecture Notes in Mathematics , Vol. 831 , Springer-Verlag .
   Google Scholar
• Gerstenhaber , M. and Schack , S.P. 1983 . Simplicial homology is Hochschild cohomology . J/ Pure and Applied Algebra , 30 : 143 – 156 .
   Web of Science ®Google Scholar
• Green , E.L. 1983 . Graphs with relations coverings and group-graded alge­bras . Transactions AMS , 279 : 297 – 310 .
   Web of Science ®Google Scholar
• Green , E.L. , Happel , D. and Zacharia , D. 1983 . Protective resolutions over artin algebras with zero relations . Illinois Journal of Mathematics , 29 ( 1 ) : 80 – 190 .
   Google Scholar
• Green , E.L. , Kirkman , E. and Kuzmanovich , J. 1991 . Finitistic dimension of finite dimensional monomial algebras . Journal of Algebra , 136 ( 1 ) : 37 – 50 .
   Web of Science ®Google Scholar
• Green , E.L. and Zacharia , D. 1994 . The cohomology ring of a monomial algebra . Manuscripta Math , 85 ( 1 ) : 11 – 23 .
   Web of Science ®Google Scholar
• Happel , D. 1984 . “ Hochschild cohomology of finite-dimensional algebras ” . In LNM , Vol. 1404 , 108 – 126 . Heidelberg : Springer-Verlag . New York
   Google Scholar
• Zimmerman-Huisgen , B. 1991 . Predicting syzygies over monomial relations algebras . Manuscripta Math , 70 : 157 – 182 .
   Web of Science ®Google Scholar