1. |
Number of connected components of groups of real points of adjoint groups |
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Communications in Algebra,
Volume 28,
Issue 3,
2000,
Page 1097-1110
Nguyêñ Quoôć Thǎ;ńg,
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摘要:
We present a unified approach to compute the number of connected components in the group of real points of adjoint almost simple real algebraic groups.
ISSN:0092-7872
DOI:10.1080/00927870008826882
出版商:Gordon and Breach Science Publishers Ltd.
年代:2000
数据来源: Taylor
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2. |
On decomposition of strongly quasi-frobenius rings |
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Communications in Algebra,
Volume 28,
Issue 3,
2000,
Page 1111-1113
Yoshito Yukimoto,
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摘要:
We prove that the Nakayama permutation of a strongly quasi-Frobenius ring gives rise to a ring decomposition of the ring.
ISSN:0092-7872
DOI:10.1080/00927870008826883
出版商:Gordon and Breach Science Publishers Ltd.
年代:2000
数据来源: Taylor
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3. |
On some examples of atomic domains and of g-rings |
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Communications in Algebra,
Volume 28,
Issue 3,
2000,
Page 1115-1123
Tiberiu Dumitrescu,
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ISSN:0092-7872
DOI:10.1080/00927870008826884
出版商:Gordon and Breach Science Publishers Ltd.
年代:2000
数据来源: Taylor
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4. |
Some factorization properties of composite domains a+xb[x] and a+xb[[x]] |
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Communications in Algebra,
Volume 28,
Issue 3,
2000,
Page 1125-1139
Tiberiu Dumitrescu,
Slnan.O Ibrahim al salihi,
Nicolae Radu,
Tario Shah,
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ISSN:0092-7872
DOI:10.1080/00927870008826885
出版商:Gordon and Breach Science Publishers Ltd.
年代:2000
数据来源: Taylor
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5. |
The rank of a latin square associated to an abelian group |
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Communications in Algebra,
Volume 28,
Issue 3,
2000,
Page 1141-1155
Ka Hin Leung,
San Ling,
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摘要:
Letbe a finite abelian group, wherepi(1 ≤i≤r) are (not necessarily distinct) odd primes. Suppose. Using a result of Carlitz and Moser, we show that. Consequently, we prove that the rank of any Latin square associated with the groupGis at least. This sharpens a result in [2].
ISSN:0092-7872
DOI:10.1080/00927870008826886
出版商:Gordon and Breach Science Publishers Ltd.
年代:2000
数据来源: Taylor
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6. |
*-Orderings on a ring with involution |
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Communications in Algebra,
Volume 28,
Issue 3,
2000,
Page 1157-1173
Murray Marshall,
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摘要:
The object of the paper is to extend part of the theory of *-orderings on a skewfield with involution to a general ring with involution. The valuation associated to a *-ordering is examined. Every *-ordering is shown to extend. *-orderings are shown to form a space of signs as defined by Brocker and Marshall. In case the involution is the identity, the ring under consideration is commutative and the *-orderings are just the usual orderings making up the usual real spectrum of a commutative ring as defined by Coste and Roy.
ISSN:0092-7872
DOI:10.1080/00927870008826887
出版商:Gordon and Breach Science Publishers Ltd.
年代:2000
数据来源: Taylor
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7. |
Quasi-duality for the rings of generalized power series* |
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Communications in Algebra,
Volume 28,
Issue 3,
2000,
Page 1175-1188
Liu Zhongkui,
Cheng Hui,
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摘要:
LetA, Bbe associative rings with identity, and (S, ≤) a strictly totally ordered commutative monoid which is also artinian. For any bimoduleAMB, we construct a bimoduleA[[S]]M[S]B[[S]]and prove thatAMBdefines a quasi-duality if and only if the bimoduleA[[S]]M[S]B[[S]]defines a quasi-duality. As a corollary, it is shown that if a ringAhas a quasi-duality then the ringA[[S]] of generalized power series overAhas a quasi-duality.
ISSN:0092-7872
DOI:10.1080/00927870008826888
出版商:Gordon and Breach Science Publishers Ltd.
年代:2000
数据来源: Taylor
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8. |
Projective character degree patterns of 2-groups |
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Communications in Algebra,
Volume 28,
Issue 3,
2000,
Page 1189-1210
R.J. Higgs,
J.F. Humphreys,
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ISSN:0092-7872
DOI:10.1080/00927870008826889
出版商:Gordon and Breach Science Publishers Ltd.
年代:2000
数据来源: Taylor
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9. |
On identities for coalgebras and hopf algebras |
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Communications in Algebra,
Volume 28,
Issue 3,
2000,
Page 1211-1221
M. Kochetov,
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摘要:
The notion of a polynomial identity for algebras is well-known. In this work the notion of identity is transferred to coalgebras (where one may call it a coidentity). The author studies the basic properties of coidenti-ties, some examples of Hopf algebras with an identity or a coidentity are considered.
ISSN:0092-7872
DOI:10.1080/00927870008826890
出版商:Gordon and Breach Science Publishers Ltd.
年代:2000
数据来源: Taylor
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10. |
On the equations defining minimal varieties |
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Communications in Algebra,
Volume 28,
Issue 3,
2000,
Page 1223-1239
Margherita Barile,
Marcel Morales,
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ISSN:0092-7872
DOI:10.1080/00927870008826891
出版商:Gordon and Breach Science Publishers Ltd.
年代:2000
数据来源: Taylor
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