1. |
Cleft extensions of abelian categories and applications to ring theory |
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Communications in Algebra,
Volume 28,
Issue 10,
2000,
Page 4503-4546
Apostolos Beligiannis,
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ISSN:0092-7872
DOI:10.1080/00927870008827104
出版商:Gordon and Breach Science Publishers Ltd.
年代:2000
数据来源: Taylor
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2. |
The homological theory of contravariantly finite subcategories:auslander-buchweitz contexts, gorenstein categories and (co-)stabilization |
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Communications in Algebra,
Volume 28,
Issue 10,
2000,
Page 4547-4596
Apostolos Beligiannis,
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ISSN:0092-7872
DOI:10.1080/00927870008827105
出版商:Gordon and Breach Science Publishers Ltd.
年代:2000
数据来源: Taylor
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3. |
The dilworth number of group rings over an artin local ring |
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Communications in Algebra,
Volume 28,
Issue 10,
2000,
Page 4597-4609
Souad Amezianne Hassani,
Salah-Eddine Kabbaj,
James S. Okon,
J. Paul Vicknair,
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ISSN:0092-7872
DOI:10.1080/00927870008827106
出版商:Gordon and Breach Science Publishers Ltd.
年代:2000
数据来源: Taylor
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4. |
Radical of submodules and symmetric algebra |
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Communications in Algebra,
Volume 28,
Issue 10,
2000,
Page 4611-4617
Agustín Marcelo,
César Rodríguez,
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摘要:
A prime ideal of the symmetric algebra of anR-moduleNis associated to every prime submoduleM⊂Nand this assignment is then used to obtain a new characterization of the radical of a submodule. Several applications of these results are also included.
ISSN:0092-7872
DOI:10.1080/00927870008827107
出版商:Gordon and Breach Science Publishers Ltd.
年代:2000
数据来源: Taylor
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5. |
Generalised nilpotence conditions inn-engel lie algebras |
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Communications in Algebra,
Volume 28,
Issue 10,
2000,
Page 4619-4634
David M. Riley,
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摘要:
A Lie algebra is said to satisfy the Baer condition provided each of its 1-dimensional subalgebras is a subideal; if the defect is bounded then the Lie algebra is bounded Baer. We first characterise restricted enveloping algebras (of odd characteristicp) that satisfy the bounded Baer condition. Using this characterisation, we are then able to construct a Lie algebra satisfying the bounded Engel condition, in each odd characteristicp, that does not satisfy the Baer condition. Such a bounded Engel Lie algebra must contain a non-nilpotent 1-generated ideal
ISSN:0092-7872
DOI:10.1080/00927870008827108
出版商:Gordon and Breach Science Publishers Ltd.
年代:2000
数据来源: Taylor
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6. |
The embedding of the components of the auslander-reiten quiver of an artin algebra containing no oriented cycle1 |
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Communications in Algebra,
Volume 28,
Issue 10,
2000,
Page 4635-4645
Size Li,
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摘要:
LetAbe an artin algebra. Let Γ be a component of the Auslander-Reiten Quiver ΓAand Γ contain no oriented cycle. If Γ is stable or semi-stable, then the structure of Γ is known. Here, we are going to consider general component which may contain both injective vertices and projective vertices at the same time. We will show that Γ can be embedded in some Δ with Δ isomorphic to a section of Γ if and only if every possible path from an injective vertex to a projective vertex is sectional. This result generalizes part of Zhang’s theorem and the corresponding part of Liu’s theorem.
ISSN:0092-7872
DOI:10.1080/00927870008827109
出版商:Gordon and Breach Science Publishers Ltd.
年代:2000
数据来源: Taylor
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7. |
Divisorial prime ideals of int(D) when D is a krull-type domain |
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Communications in Algebra,
Volume 28,
Issue 10,
2000,
Page 4647-4663
Francesca Tartarone,
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摘要:
LetDbe a domain with quotient fieldK. The ring of integer-valued polynomials overDis Int (D):={fϵK[X];f(4D) ⊆D}.We describe the divisorial prime ideals of Int(D) whenDis a domain of Krull-type and, in particular, whenDis also ad-ring.
ISSN:0092-7872
DOI:10.1080/00927870008827110
出版商:Gordon and Breach Science Publishers Ltd.
年代:2000
数据来源: Taylor
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8. |
Extensions of simple-injective rings |
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Communications in Algebra,
Volume 28,
Issue 10,
2000,
Page 4665-4675
W.K. Nicholson,
Jae Keol Park,
M.F. Yousif,
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摘要:
A ringRis called right simple-injective if every itMinear map with simple image from a right ideal toRcan be extended toR. We characterize when matrix rings, upper triangular matrix rings and trivial extensions are right simple-injective. We also study split null extensions of simple-injective rings.
ISSN:0092-7872
DOI:10.1080/00927870008827111
出版商:Gordon and Breach Science Publishers Ltd.
年代:2000
数据来源: Taylor
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9. |
On modules with primary and irreducible decomposition |
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Communications in Algebra,
Volume 28,
Issue 10,
2000,
Page 4677-4686
Wanda Morariu,
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ISSN:0092-7872
DOI:10.1080/00927870008827112
出版商:Gordon and Breach Science Publishers Ltd.
年代:2000
数据来源: Taylor
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10. |
Doi-hopf modules over weak hopf algebras |
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Communications in Algebra,
Volume 28,
Issue 10,
2000,
Page 4687-4698
Gabriella Böhm,
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摘要:
The theorv of Doi-Hopf modules [8,11] is generalized to Weak Hopf Algebras [1, 14, 2].
ISSN:0092-7872
DOI:10.1080/00927870008827113
出版商:Gordon and Breach Science Publishers Ltd.
年代:2000
数据来源: Taylor
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