@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}, pages = {207--214}, publisher = {Seminario Matematico of the University of Padua}, volume = {105}, year = {2001}, mrnumber = {1834991}, zbl = {02216886}, language = {en}, url = {http://www.numdam.org/item/RSMUP_2001__105__207_0/} }
TY - JOUR AU - Burgess, W. D. AU - Fuller, K. R. AU - Tonolo, A. TI - A note on block triangular presentations of rings and finitistic dimension JO - Rendiconti del Seminario Matematico della Università di Padova PY - 2001 SP - 207 EP - 214 VL - 105 PB - Seminario Matematico of the University of Padua UR - http://www.numdam.org/item/RSMUP_2001__105__207_0/ LA - en ID - RSMUP_2001__105__207_0 ER -
%0 Journal Article %A Burgess, W. D. %A Fuller, K. R. %A Tonolo, A. %T A note on block triangular presentations of rings and finitistic dimension %J Rendiconti del Seminario Matematico della Università di Padova %D 2001 %P 207-214 %V 105 %I Seminario Matematico of the University of Padua %U http://www.numdam.org/item/RSMUP_2001__105__207_0/ %G en %F 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 105 (2001), pp. 207-214. http://www.numdam.org/item/RSMUP_2001__105__207_0/
[1] Rings and Categories of Modules, Second Edition, Springer-Verlag, New York, 1992. | MR | Zbl
- ,[2] Applications of contravariantly finite subcategories, Adv. in Math., 86 (1991), pp. 111-152. | MR | Zbl
- ,[3] Preprojective modules over artin algebras, J. Algebra, 66 (1980), pp. 61-122. | MR | Zbl
- ,[4] The graded Cartan matrix and global dimension of O-relations algebras, Proc. Edinburgh Math. Soc., 30 (1987), pp. 351-362. | MR | Zbl
,[5] On artin rings whose idempotent ideals have finite projective dimension, preprint, 1999. | MR | Zbl
- ,[6] Trivial extensions of abelian categories, Lecture Notes in Math., 456, Springer-Verlag (1975). | MR | Zbl
- - ,[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 | Zbl
,[8] M. SAORÍN, On the finitistic dimension conjecture for artinian rings, Manuscripta Math., 74 (1992), pp. 117-132. | EuDML | MR | Zbl
-[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 | Zbl
- ,[10] B. HUISGEN-ZIMMERMANN, Finitistic dimension of artinian rings with vanishing radical cube, Math. Z., 206 (1991), pp. 505-526. | MR | Zbl
-[11] E. KIRKMAN - J. KUZMANOVICH, Finitistic dimension of finite dimensional monomial algebras, J. Algebra, 136 (1991), pp. 37-50. | MR | Zbl
-[12] Syzygy pairs in monomial algebras, Proc. Amer. Math. Soc., 108 (1990), pp. 601-604. | MR | Zbl
- ,[13] Artin rings with all idempotent ideals projective, Comm. Algebra, 24 (1996), pp. 2515-2533. | MR | Zbl
,[14] An Introduction to Homological Algebra, Academic Press, Orlando, 1979. | MR | Zbl
,[15] Functorially finite subcategories over triangular matrix rings, Proc. Amer. Math. Soc., 111 (1991), pp. 651-656. | MR | Zbl
,[16] Finitistic dimensions of semiprimary rings, Manuscripta Math., 81 (1993), pp. 79-87. | MR | Zbl
,[17] Finitistic dimensions of serial-like rings, J. Pure Appl. Algebra, 96 (1994), pp. 81-96. | MR | Zbl
,[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 | Zbl
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