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1. |
Tilting simply connected algebras |
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Communications in Algebra,
Volume 22,
Issue 12,
1994,
Page 4611-4619
Ibrahim Assem,
Andrzej Skowroński,
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摘要:
Let A be a representation-finite simply connected algebra, and TAbe an arbitrary tilting module (in the sense of Happei and Ringel). We show that B = End TAsatisfies the separation condition of Bautista, Larrion and Salmeron. This implies that B is also simply connected.
ISSN:0092-7872
DOI:10.1080/00927879408825091
出版商:Marcel Dekker, Inc.
年代:1994
数据来源: Taylor
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2. |
On the finitistic dimension of fixed subrings |
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Communications in Algebra,
Volume 22,
Issue 12,
1994,
Page 4621-4635
E. Kirkman,
J. Kuzmanovich,
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ISSN:0092-7872
DOI:10.1080/00927879408825092
出版商:Marcel Dekker, Inc.
年代:1994
数据来源: Taylor
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3. |
Ducompact filters and prime kernal functors |
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Communications in Algebra,
Volume 22,
Issue 12,
1994,
Page 4637-4651
Jonathan S. Golan,
Ana M. de Viola-Prioli,
Jorge E. Viola-Prioli,
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ISSN:0092-7872
DOI:10.1080/00927879408825093
出版商:Marcel Dekker, Inc.
年代:1994
数据来源: Taylor
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4. |
On theta pairs for a maximal subgroup |
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Communications in Algebra,
Volume 22,
Issue 12,
1994,
Page 4653-4659
GUO Xiuyun,
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摘要:
For a maximal eubgroup M of a finite group G, a 8-pair is any pair of subgroups (C,D) of G such that (i) D▹G, D≤C, (ii) <M, C> - G, <M, D> - M and (iii) C/D has no proper normal subgroup of G/D. A partial order may be defined on the family of 8-pairs. Let △(M) - {(C,D)|(C,D) is a maximal 8-pair and CM - G}. The purpose of this note is to prove: (1) A group G is solvable if and only if, for each maximal subgroup M of G, △(M) contains a 8-pair (C,D) such that C/D ie nilpctent. (2) If a group G is S4-free, then G ia eupersolvable if and only if, for each maximal subgroup M of G, △(M) contains a 8-pair (C,D) auch that C/D is cyclic
ISSN:0092-7872
DOI:10.1080/00927879408825094
出版商:Marcel Dekker, Inc.
年代:1994
数据来源: Taylor
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5. |
Hopf algebra duality, injective modules and quantum groups |
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Communications in Algebra,
Volume 22,
Issue 12,
1994,
Page 4661-4692
William Chin,
Ian M. Musson,
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ISSN:0092-7872
DOI:10.1080/00927879408825095
出版商:Marcel Dekker, Inc.
年代:1994
数据来源: Taylor
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6. |
Nonassociative coalgebras1 |
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Communications in Algebra,
Volume 22,
Issue 12,
1994,
Page 4693-4716
José A. Anquela,
Teresa Cortés,
Fernando Montaner,
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摘要:
In this paper we study coalgebras, that is, vector spaces A with a linearmap A→A⊗A. To every coalgebra A one can associate an algebra on its dual A*such that A becomes a bimodule for A*. We exploit this construction to define the concept of a variety of coalgebras unifying under a general framework the known examples of associative and Lie coalgebras: A is a coalgebra of the variety θ if A*is an algebra in θ. On the other hand we study structural properties of coalgebras by translating them into the language of algebras. In particular we prove the analogue of the Fundamental Theorem on associative coalgebras Q]: alternative and Jordan coalgebras are locally finite
ISSN:0092-7872
DOI:10.1080/00927879408825096
出版商:Marcel Dekker, Inc.
年代:1994
数据来源: Taylor
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7. |
Quasi-hereditary algebras which are dual extensions of algebras |
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Communications in Algebra,
Volume 22,
Issue 12,
1994,
Page 4717-4735
Bangming Deng,
Changchang Xi,
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ISSN:0092-7872
DOI:10.1080/00927879408825097
出版商:Marcel Dekker, Inc.
年代:1994
数据来源: Taylor
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8. |
Exchange rings, units and idempotents |
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Communications in Algebra,
Volume 22,
Issue 12,
1994,
Page 4737-4749
Victor P. Camillo,
Hua-Ping Yu,
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摘要:
An associative ring R with identity is semiperfect if and only if every element of R is a sum of a unit and an idempotent, and R contains no infinite set of orthogonal idempotents. A ring which contains no infinite set of orthogonal idempotents is an exchange ring if and only if every element is a sum of a unit and an idempo-tent
ISSN:0092-7872
DOI:10.1080/00927879408825098
出版商:Marcel Dekker, Inc.
年代:1994
数据来源: Taylor
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9. |
A deterministic construction for normal bases of abelian extensions |
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Communications in Algebra,
Volume 22,
Issue 12,
1994,
Page 4751-4757
A. Poli,
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摘要:
In this paper we give a deterministic construction for a Normal basis of Kf over K, where K' is an abelian extension of finite degree n over some commutative, infinite field K. No particular property for K is needed.We use polynomials already defined in [2], [5, chapter 5], In these papers the field K was finite. These polynomials were used in order to construct SDMC codes [5,chapter 6], to determine bivariate codes [2],[3], or to obtain the best possible principal nilpotent codes [6], Our construction is deduced from new properties of these polynomials
ISSN:0092-7872
DOI:10.1080/00927879408825099
出版商:Marcel Dekker, Inc.
年代:1994
数据来源: Taylor
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10. |
On a jordan subalgebra of commutative algebras |
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Communications in Algebra,
Volume 22,
Issue 12,
1994,
Page 4759-4772
Michael Roth,
Sebastian Walcher,
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ISSN:0092-7872
DOI:10.1080/00927879408825100
出版商:Marcel Dekker, Inc.
年代:1994
数据来源: Taylor
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