Presentations of Monomial Algebras and Uniserial Modules

References

• Auslander , M. , Reiten , I. , Smal⊘ , S. O. Representation Theory of Artin Algebras . Cambridge-New York-Melbourne : Cambridge Univ. Press .
   Google Scholar
• Bardzell , M. J. ( 1997 ). The alternating syzygy behavior of monomial algebras . J. Algebra 188 ( 1 ): 69 – 89 .
   Web of Science ®Google Scholar
• Bardzell , M. J. , Green E. L. (1999). An invariant characterization of monomial algebras. Comm. Algebra 27(5):2331–2344.
   Web of Science ®Google Scholar
• Bardzell , M. J. , Marcos , E. N. ( 2001 ). H 1 and presentations of finite dimensional algebras . Representations of Algebras (Sao Paulo, 1999). Lecture Notes in Pure and Appl. Math. Vol. 224 . New York : Dekker , pp. 31 – 38 .
   Google Scholar
• Bongartz , K. , Huisgen-Zimmermann , B. ( 2001a ). The geometry of uniserial representations of algebras II. Alternate viewpoints and uniqueness . J. Pure Appl. Algebra 157 : 23 – 32 .
   Google Scholar
• Bongartz , K. , Huisgen-Zimmermann , B. ( 2001b ). Varieties of uniserial representations IV. Kinship to geometric quotients . Trans. Amer. Math. Soc. 353 ( 5 ): 2091 – 2113 .
   Google Scholar
• Fuller , K. R. ( 1987 ). Algebras from diagrams . J. Pure Appl. Algebra 48 : 23 – 37 .
   Web of Science ®Google Scholar
• Green , E. L. , Kirkman , E. , Kuzmanovich , J. ( 1991 ). Finitistic dimensions of finite-dimensional monomial algebras . J. Algebra 136 ( 1 ): 37 – 50 .
   Web of Science ®Google Scholar
• Huisgen-Zimmermann , B. ( 1992 ). Homological domino effects and the first finitistic dimension conjecture . Invent. Math. 108 ( 2 ): 369 – 383 .
   Google Scholar
• Huisgen-Zimmermann , B. ( 1996 ). The geometry of uniserial representations of finite dimensional algebras III: Finite uniserial type . Trans. Amer. Math. Soc. 348 : 4775 – 4812 .
   Google Scholar
• Huisgen-Zimmermann , B. ( 1998 ). The geometry of uniserial representations of finite dimensional algebras I . J. Pure Appl. Algebra 127 : 39 – 72 .
   Google Scholar
• Igusa , K. , Zacharia , D. ( 1990 ). Syzygy pairs in a monomial algebra . Proc. Amer. Math. Soc. 108 ( 3 ): 601 – 604 .
   Web of Science ®Google Scholar
• Mojiri , A. ( 2003 ). Geometric Aspects of Finite Dimensional Algebras–Uniserial Representations . PhD thesis, University of Ottawa .
   Google Scholar
• Saorín , M. ( 1992 ). Isomorphism between representations of algebras . Publ. Mat. 36 : 955 – 964 .
   Google Scholar
• Communicated by B. Huisgen-Zimmermann.
   Google Scholar