REFERENCES
- Ágoston , I. , Dlab , V. , Wakamatsu , T. ( 1991 ). Neat algebras . Comm. Algebra 19 ( 2 ): 433 – 442 .
- Auslander , M. , Roggenkamp , K. W. ( 1972 ). A characterization of orders of finite lattice type . Invent. Math. 17 : 79 – 84 .
- de la Peña , J. A. , Raggi-Cárdenas , A. ( 1988 ). On the global dimension of algebras over regular local rings . Illinois J. Math. 32 ( 3 ): 520 – 533 .
- Fujita , H. ( 1986a ). A remark on tiled orders over a local Dedekind domain . Tsukuba J. Math. 10 ( 1 ): 121 – 130 .
- Fujita , H. ( 1986b ). Link graphs of tiled orders over a local Dedekind domain . Tsukuba J. Math. 10 ( 2 ): 293 – 298 .
- Fujita , H. (1990). Tiled orders of finite global dimension. Trans. Amer. Math. Soc. 322:329–341; Erratum: Trans. Amer. Math. Soc. (1991), 327:919–920.
- Fujita , H. ( 2002 ). Neat idempotents and tiled orders having large global dimension . J. Algebra 256 : 194 – 210 .
- Fujita , H. ( 2003 ). Full matrix algebras with structure systems . Colloq. Math. 98 : 249 – 258 .
- Jansen , W. S. , Odenthal , C. J. ( 1997 ). A tiled order having large global dimension . J. Algebra 192 : 572 – 591 .
- Jategaonkar , V. A. ( 1973 ). Global dimension of triangular orders over a discrete valuation ring . Proc. Amer. Math. Soc. 38 : 8 – 14 .
- Jategaonkar , V. A. ( 1974 ). Global dimension of tiled orders over a discrete valuation ring . Trans. Amer. Math. Soc. 196 : 313 – 330 .
- Kirkman , E. , Kuzmanovich , J. ( 1989 ). Global dimension of a class of tiled orders . J. Algebra 127 : 57 – 72 .
- Oshima , A. ( 2007 ). Global Dimension of Tiled Orders and Characteristic of Residue Class Field . Master thesis, University of Tsukuba (in Japanese) .
- Roggenkamp , K. W. ( 1977 ). Some examples of orders of global dimension two . Math. Z. 154 : 225 – 238 .
- Roggenkamp , K. W. ( 1978 ). Orders of global dimension two . Math. Z. 160 : 63 – 67 .
- Roggenkamp , K. W. , Wiedemann , A. ( 1984 ). Auslander–Reiten quivers of Schurian orders . Comm. Algebra 12 : 2525 – 2578 .
- Rump , W. ( 1996 ). Discrete posets, cell complexes, and the global dimension of tiled orders . Comm. Algebra 24 : 55 – 107 .
- Simson , D. ( 1992 ). Linear representations of partially ordered sets and vector space categories . Algebra, Logic and Applications . Vol. 4 , Amsterdam : Gordon & Breach Science Publishers .
- Spears , W. T. ( 1972 ). Global dimension in categories of diagrams . J. Algebra 22 : 219 – 222 .
- Tarsy , R. B. ( 1970 ). Global dimension of orders . Trans. Amer. Math. Soc. 151 : 335 – 340 .
- Tarsy , R. B. ( 1971 ). Global dimension of triangular orders . Proc. Amer. Math. Soc. 28 ( 2 ): 423 – 426 .
- Tutte , W. T. ( 1971 ). Introduction to the Theory of Matroids . New York : American Elsevier Publishing Company, Inc.
- Wiedemann , A. , Roggenkamp , K. W. ( 1983 ). Path orders of global dimension two . J. Algebra 80 : 113 – 133 .
- Zavadskij , A. G. , Kirichenko , V. V. ( 1976 ). Torsion-free modules over primary rings . Zap. Nauchn. Sem. LOMI im. V.A. Steklova AN SSSR 57 : 100 – 116 ; J. Soviet Math. ( 1979 ), 598 – 612 .
- Zavadskij , A. G. , Kirichenko , V. V. ( 1977 ). Semimaximal rings of finite type . Mat. Sbornik 103 : 323 – 345 .
- Communicated by J. Kuzmanovich.