@article{RSMUP_2001__105__207_0, author = {Burgess, W. D. and Fuller, K. R. and Tonolo, A.}, title = {A note on block triangular presentations of rings and finitistic dimension}, journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova}, volume = {106}, year = {2001}, pages = {207-214}, mrnumber = {1834991}, zbl = {02216886}, language = {en}, url = {http://dml.mathdoc.fr/item/RSMUP_2001__105__207_0} }
Burgess, W. D.; Fuller, K. R.; Tonolo, A. A note on block triangular presentations of rings and finitistic dimension. Rendiconti del Seminario Matematico della Università di Padova, Tome 106 (2001) pp. 207-214. http://gdmltest.u-ga.fr/item/RSMUP_2001__105__207_0/
[1] Rings and Categories of Modules, Second Edition, Springer-Verlag, New York, 1992. | MR 1245487 | Zbl 0765.16001
- ,[2] Applications of contravariantly finite subcategories, Adv. in Math., 86 (1991), pp. 111-152. | MR 1097029 | Zbl 0774.16006
- ,[3] Preprojective modules over artin algebras, J. Algebra, 66 (1980), pp. 61-122. | MR 591246 | Zbl 0477.16013
- ,[4] The graded Cartan matrix and global dimension of O-relations algebras, Proc. Edinburgh Math. Soc., 30 (1987), pp. 351-362. | MR 908442 | Zbl 0608.16028
,[5] On artin rings whose idempotent ideals have finite projective dimension, preprint, 1999. | MR 1831584 | Zbl 1011.16011
- ,[6] Trivial extensions of abelian categories, Lecture Notes in Math., 456, Springer-Verlag (1975). | MR 389981 | Zbl 0303.18006
- - ,[7] The Cartan determinant and global dimension of Artinian rings, Azumaya algebras, actions, and modules (Bloomington, IN, 1998), pp. 51-72, Contemp. Math., 124, Amer. Math. Soc, Providence, RI, 1992. | MR 1144028 | Zbl 0746.16013
,[8] M. SAORÍN, On the finitistic dimension conjecture for artinian rings, Manuscripta Math., 74 (1992), pp. 117-132. | MR 1147557 | Zbl 0785.16004
-[9] Repetitive resolutions over classical orders and finite-dimensional algebras, Algebras and modules, II (Geiranger, 1996), pp. 205-225, CMS Conf. Proc., 24, Amer. Math. Soc., Providence, RI, 1998. | MR 1648628 | Zbl 0913.16006
- ,[10] B. HUISGEN-ZIMMERMANN, Finitistic dimension of artinian rings with vanishing radical cube, Math. Z., 206 (1991), pp. 505-526. | MR 1100835 | Zbl 0707.16002
-[11] E. KIRKMAN - J. KUZMANOVICH, Finitistic dimension of finite dimensional monomial algebras, J. Algebra, 136 (1991), pp. 37-50. | MR 1085118 | Zbl 0727.16003
-[12] Syzygy pairs in monomial algebras, Proc. Amer. Math. Soc., 108 (1990), pp. 601-604. | MR 1031675 | Zbl 0688.16032
- ,[13] Artin rings with all idempotent ideals projective, Comm. Algebra, 24 (1996), pp. 2515-2533. | MR 1393273 | Zbl 0857.16012
,[14] An Introduction to Homological Algebra, Academic Press, Orlando, 1979. | MR 538169 | Zbl 0441.18018
,[15] Functorially finite subcategories over triangular matrix rings, Proc. Amer. Math. Soc., 111 (1991), pp. 651-656. | MR 1028295 | Zbl 0724.16003
,[16] Finitistic dimensions of semiprimary rings, Manuscripta Math., 81 (1993), pp. 79-87. | MR 1247589 | Zbl 0809.16007
,[17] Finitistic dimensions of serial-like rings, J. Pure Appl. Algebra, 96 (1994), pp. 81-96. | MR 1297443 | Zbl 0821.16007
,[18] Syzygies and homological dimensions over left serial rings. Methods in module theory (Colorado Springs, CO, 1991), pp. 161-174, Lecture Notes in Pure and Appl. Math., 140, Dekker, New York, 1993. | MR 1203806 | Zbl 0799.16008
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