SUBALGEBRAS AND FINITISTIC DIMENSIONS OF ARTIN ALGEBRAS 被引量：1

SUBALGEBRAS AND FINITISTIC DIMENSIONS OF ARTIN ALGEBRAS

下载PDF

导出

摘要 Let A be an Artin algebra.We investigate subalgebras of A with certain conditions and obtain some classes of algebras whose finitistic dimensions are finite. Let A be an Artin algebra.We investigate subalgebras of A with certain conditions and obtain some classes of algebras whose finitistic dimensions are finite.

作者张爱平张顺华

机构地区 School of Mathematics and Statistics School of Mathematics

出处《Acta Mathematica Scientia》 SCIE CSCD 2011年第5期2033-2040,共8页 数学物理学报（B辑英文版）

基金 Supported by the NSFC (10771112) NSF of Shandong Province (Y2008A05)

关键词 Artin algebras representation dimension finitistic dimension Artin algebras representation dimension finitistic dimension

分类号 O153 [理学—基础数学]

引文网络
相关文献

参考文献20

1Bass H. Finitistic dimension and a homological generalization of semiprimary rings. Wrans Amer Math Soc, 1960, 95:466-488.
2Zimmermann-Huisgen B. Homological domino effects and the first finitistic dimension conjecture. Invent Math, 1992, 108:369-383.
3Green E, Kirkman E, Kuzmanovich J. Finitistic dimension of finite dimensional monomial algebras. J Algebra, 1991, 136:37-51.
4Green E, Zimmermann-Huisgen B. Finitistic dimension of artinian rings with vanishing radical cube. Math Z, 1991, 206:505-526.
5Igusa K, Todorov G. On the finitistic global dimension conjecture for artin algebras//Representations of Algebras and Related Topics. Fields Inst Commun, 45. Providence, RI: Amer Math Soc, 2005:201-204.
6Auslander M, Reiten I. Applications of contravariantly finite subcategories. Adv Math, 1991, 86:111-152.
7Wang Y. A note on the finitistic dimension conjecture. Comm Algebra, 1994, 22(7): 2525 2528.
8Xi C C. Representation dimension and quasi-hereditary algebras. Adv Math, 2002, 168:193-212.
9Xi C C. On the finitistic dimension conjecture I: related to representation-finite algebras. J Pure Appl Algebra, 2004, 193:287-305.
10Xi C C. On the finitistic dimension conjecture II: related to finite global dimension. Adv Math, 2006, 201: 116-142.

引证文献1

1张顺华,张跃辉.REPETITIVE CLUSTER-TILTED ALGEBRAS[J].Acta Mathematica Scientia,2012,32(4):1449-1454.

1RIEFFEL Marc A.Leibniz seminorms and best approximation from C*-subalgebras[J].Science China Mathematics,2011,54(11):2259-2274. 被引量：1
2ZHA Jianguo(Department of Applied Mathematics,Tongji University, Shanghai 200092,China).ON SUBALGEBRAS OF CHEVALLEY ALGEBRAS CONCERNING SUBFIELDS[J].Systems Science and Mathematical Sciences,1996,9(1):13-19.
3楚彦军,黄芳,郑驻军.A result on certain coset subalgebras of the βγ-system[J].Chinese Physics C,2011,35(2):149-152. 被引量：1
4白瑞蒲,周和月,刘学文.Frattini Subalgebras and Nonimbedding Theorem of n-Lie Algebras[J].Northeastern Mathematical Journal,2006,22(4):425-432. 被引量：1
5Donald W.BARNES.Engel Subalgebras of n-Lie Algebras[J].Acta Mathematica Sinica,English Series,2008,24(1):159-166. 被引量：1
6Shan Li SUN Xue Feng MA.Lie Subalgebras in a Certain Operator Lie Algebra with Involution[J].Acta Mathematica Sinica,English Series,2011,27(8):1521-1534. 被引量：1
7ZHAO YAN-XIA,XIA YU-LING.Non-linear Invertible Maps that Preserve Staircase Subalgebras[J].Communications in Mathematical Research,2012,28(3):265-274.
8Yang LI,Wende LIU.Maximal Graded Subalgebras of the General Linear Lie Superalgebras over Superrings[J].Journal of Mathematical Research with Applications,2015,35(2):149-156. 被引量：1
9JI Peisheng Department of Mathematics, Shandong University, Jinan 250100, China.Local derivation on triangular subalgebras of hyperfinite von Neumann algebras[J].Chinese Science Bulletin,1998,43(9):716-719.
10Zhang, LC,Ma, JP.Free C *- algebras and the problem of uniqueness of extension in non-commutative Hahn-Banach Theorem[J].Chinese Science Bulletin,1997,42(13):1076-1079.

Acta Mathematica Scientia

2011年第5期

浏览历史

内容加载中请稍等...

SUBALGEBRAS AND FINITISTIC DIMENSIONS OF ARTIN ALGEBRAS 被引量：1

参考文献20

引证文献1

相关作者

相关机构

相关主题

浏览历史