SUBALGEBRAS AND FINITISTIC DIMENSIONS OF ARTIN ALGEBRAS
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.
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| Published in | Acta mathematica scientia Vol. 31; no. 5; pp. 2033 - 2040 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier Ltd
01.09.2011
School of Mathematics and Statistics, Shandong University at Weihai, Weihai 264209, China%School of Mathematics, Shandong University, Jinan 250100, China |
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| Online Access | Get full text |
| ISSN | 0252-9602 1572-9087 |
| DOI | 10.1016/S0252-9602(11)60379-2 |
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| Abstract | 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. |
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| AbstractList | 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. O153.1; 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. |
| Author | 张爱平 张顺华 |
| AuthorAffiliation | School of Mathematics and Statistics,Shandong University at Weihai School of Mathematics,Shandong University |
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| Cites_doi | 10.1006/aima.2001.2046 10.1016/j.jalgebra.2003.09.022 10.1016/j.jalgebra.2008.01.021 10.1007/BF02100610 10.1016/0021-8693(91)90062-D 10.1007/BF02571358 10.1016/j.aim.2005.02.002 10.1016/j.jpaa.2004.03.009 10.1016/0001-8708(91)90037-8 10.1007/BF02941960 10.1090/S0002-9947-1960-0157984-8 10.1080/00927879408824974 10.1016/j.jalgebra.2007.12.011 |
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| Copyright | 2011 Wuhan Institute of Physics and Mathematics Copyright © Wanfang Data Co. Ltd. All Rights Reserved. |
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| DocumentTitleAlternate | SUBALGEBRAS AND FINITISTIC DIMENSIONS OF ARTIN ALGEBRAS |
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| Keywords | finitistic dimension 18G20 representation dimension 16G10 Artin algebras |
| Language | English |
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| Notes | Zhang Aiping School of Mathematics and Statistics,Shandong University at Weihai,Weihai 264209,China Zhang Shunhua School of Mathematics,Shandong University,Jinan 250100,China 42-1227/O Artin algebras; representation dimension; finitistic dimension 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. ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23 ObjectType-Article-1 ObjectType-Feature-2 |
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| References_xml | – volume: 95 start-page: 466 year: 1960 end-page: 488 ident: bib1 article-title: Finitistic dimension and a homological generalization of semiprimary rings publication-title: Trans Amer Math Soc – year: 1995 ident: bib15 publication-title: Representation Theory of Artin Algebras – reference: Ringel C M. The torsionless modules of an Artin algebra. 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| Snippet | 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. 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. O153.1; Let A be an Artin algebra.We investigate subalgebras of A with certain conditions and obtain some classes of algebras whose finitistic dimensions are... |
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| SubjectTerms | 16G10 18G20 Algebra Artin algebras finitistic dimension Mathematical analysis representation dimension 代数和 子代数 尺寸 |
| Title | SUBALGEBRAS AND FINITISTIC DIMENSIONS OF ARTIN ALGEBRAS |
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