Global dimension of triangular orders over a discrete valuation ring-Reference-Cited by-同舟云学术

Global dimension of triangular orders over a discrete valuation ring

Published:1973 Issue:1 Volume:38 Page:8-14
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Jategaonkar Vasanti A.

Abstract

We characterize triangular R R -orders of finite global dimension in n × n n \times n matrix rings over the quotient field of DVR R R and obtain a precise upper bound for their global dimension, viz. n − 1 n - 1 . We also characterize triangular R R -orders of highest global dimension.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1973-038-01/S0002-9939-1973-0309988-4/S0002-9939-1973-0309988-4.pdf

Reference6 articles.

1. Vasanti A. Jategaonkar, Global dimension of triangular orders over DVR, Notices Amer. Math. Soc. 18 (1971), 626. Abstract #71T-A107.

2. On semi-perfect rings;Mueller, Bruno J.;Illinois J. Math.,1970

3. Van Nostrand Reinhold Mathematical Studies, No. 26;Rotman, Joseph J.,1970

4. Noncommutative localizations and applications;Silver, L.;J. Algebra,1967

5. Global dimension of orders;Tarsy, Richard B.;Trans. Amer. Math. Soc.,1970

Cited by 12 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On exponent matrices of tiled orders;Journal of Algebra and Its Applications;2016-11-24

2. A Tiled Order of Finite Global Dimension with No Neat Primitive Idempotent;Communications in Algebra;2009-02-12

3. On rigid quivers;Journal of Mathematical Sciences;2008-07

4. Quivers of Associative Rings;Journal of Mathematical Sciences;2005-12

5. EXPONENT MATRICES AND TILED ORDERS OVER DISCRETE VALUATION RINGS;International Journal of Algebra and Computation;2005-10