Projectively stable artin algebras: representation theory and quivers with relations

References

• Anderson , F.W. and Fuller , K.R. 1991 . “ Rings and Categories of Modules ” . In Graduate Texts in Mathematics , Vol. 13 , New York : Springer-Verlag .
   Google Scholar
• Auslander , M. 1974 . Representation theory of artin algebras II . Comm. Algebra , 2 : 269 – 310 .
   Google Scholar
• Auslander , M. Functors and morphisms determined by objects, inRepresentation Theory of Algebras . Proceedings of the Philadelphia Conference . Vol. 37 , New York : Dekker . Lecture Notes in Pure and Applied Mathematics
   Google Scholar
• Auslander , M. and Reiten , I. Stable equivalence of artin algebras, in . Proceedings of the Conference on Orders, Group Rings and Related Topics . 1972 , Ohio State University . Vol. 353 , pp. 8 – 64 . Berlin , New York : Springer-Verlag . Lecture Notes in Mathematics Heidelberg
   Google Scholar
• Auslander , M. and Reiten , I. 1977 . Representation theory of artin algebras IV. Invariants givenby almost split sequences . Comm. Algebra , 5 : 443 – 518 .
   Web of Science ®Google Scholar
• Auslander , M. , Reiten , I. and Smalø , S.O. 1994 . “ Representation Theory of Artin Algebras ” . In Cambridge Studies in Advanced Mathematics , Vol. 36 , New York : Cambridge University Press .
   Google Scholar
• Bongartz , K. and Riedtmann , C. April 1979 . Algebres stablement hereditaires , A Vol. 288 , April , 703 – 706 . Paris : C.R. Acud. Sc . 23
   Google Scholar
• Dlab , V. and Ringel , C.M. 1976 . Indecomposable Representations of Graphs and Algebras . Memoirs Amer. Math. Soc , 173 April
   Google Scholar
• Harary , Frank . 1969 . Graph Theory , Addison/Wesley .
   Google Scholar
• Jagadeeshan , S. 1994 . “ Stable Artin Algebras ” . In Ph.D. Thesis , Vol. 1 , Syracuse University .
   Google Scholar
• Jagadeeshan , S. and Kleiner , M. Stable artin algebras: the transpose and the global dimension . Seventh Conference on Representations of Algebras (ICRA VII) CanadianMathematical Society Conference Proceedings . Vol. 18 , pp. 343 – 351 .
   Google Scholar
• Jagadeeshan , S. and Kleiner , M. 1996 . Structure of project!vely stable artinian rings . J. Algebra , 18 to appear
   Google Scholar
• Platzeck , M.I. and Auslander , M. Representation theory of hereditary artin algebras, in Representation Theory of Algebras . Proceedings of the Philadelphia Conference . 1976 . Vol. 37 , pp. 389 – 424 . New York : Dekker . Lecture Notes in pure and Applied Mathematics
   Google Scholar
• Platzeck , M.I. 1978 . Representation theory of algebras stably equivalent to an hereditary artin algebra . Trans. Amer. Math. Soc , 238 : 89 – 128 .
   Web of Science ®Google Scholar