1. |
Locally soluble primitive finitary skew linear groups |
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Communications in Algebra,
Volume 23,
Issue 3,
1995,
Page 803-817
B.A.F. Wehrfritz,
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摘要:
Throughout this paper D denotes a division ring and V a left vector space over D. The finitary general linear group FGL(V) or FA AutDV over V is the subgroup of AutDV of D-automorphisms g of V such that [V,g] = V(g-l) has finite (left) dimension over D. By a finitary skew linear group we mean any subgroup G of FGL(V) for any D and V. Such a G is irreducible if V is irreducible as D-G (bi)module and is primitive if whenever V = ⊕ω∈ΩVomegaas D-module, where for all g∈G and ω∈Ω, Vωg = Vωfor some ω∈Ω, we have |Ω| = 1. In [4] we showed that a primitive irreducible finitary skew linear group is finite dimensional if it is hyper locally nilpotent (that is radical in the sense of Kuros) and sometimes if it is locally soluble. Here we complete the locally soluble case and, in fact, we can be a little more general.
ISSN:0092-7872
DOI:10.1080/00927879508825250
出版商:Marcel Dekker, Inc.
年代:1995
数据来源: Taylor
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2. |
Conjugacy theorem for the strictly hyperbolic kac-moody algebras |
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Communications in Algebra,
Volume 23,
Issue 3,
1995,
Page 819-839
Yuly Billig,
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摘要:
In this article we prove the conjugacy theorem for the (non-symmetrizable) Kac-Moody algebras corresponding to strictly hyperbolic generalized Cartan matricies, i.e., without submatricies of finite type
ISSN:0092-7872
DOI:10.1080/00927879508825251
出版商:Marcel Dekker, Inc.
年代:1995
数据来源: Taylor
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3. |
Properly semiprime self-pp-modules |
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Communications in Algebra,
Volume 23,
Issue 3,
1995,
Page 841-861
Konstantin Beidar,
Robert Wisbauer,
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摘要:
In an earlier paper [8] the authors introduced strongly and properly semiprime modules. Here properly semiprime modules M are investigated under the condition that every cyclic submodule is M-projective (self-pp-modules). We study the idempotent closure of M using the techniques of Pierce stalks related to the central idempotents of the self-injective hull of M. As an application of our theory we obtain several results on (not necessarily associative) biregular, properly semiprime, reduced and Firings. An example is given of an associative semiprime PSP ring with polynomial identity which coincides with its central closure and is not biregular (see 3.6). Another example shows that a semiprime left and right FP-injective Pl-ring need not be regular (see 4.8). Some of the results were already announced in [7].
ISSN:0092-7872
DOI:10.1080/00927879508825252
出版商:Marcel Dekker, Inc.
年代:1995
数据来源: Taylor
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4. |
The prime avoidance of maximal ideals in commutative rings |
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Communications in Algebra,
Volume 23,
Issue 3,
1995,
Page 863-868
V. Erdoĝdu,
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ISSN:0092-7872
DOI:10.1080/00927879508825253
出版商:Marcel Dekker, Inc.
年代:1995
数据来源: Taylor
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5. |
Resolutions by gorenstein injective andprojective modules and modules of finite injective dimension overgorenstein rings |
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Communications in Algebra,
Volume 23,
Issue 3,
1995,
Page 869-877
Edgar E. Enochs,
Overtoun M. G. Jenda,
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ISSN:0092-7872
DOI:10.1080/00927879508825254
出版商:Marcel Dekker, Inc.
年代:1995
数据来源: Taylor
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6. |
Poincaré series of quantum matrix bialgebras determined by a pair of quantum spaces |
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Communications in Algebra,
Volume 23,
Issue 3,
1995,
Page 879-890
Phung Ho Hai,
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摘要:
The dimension of the third homogeneous component of a matrix quantum bialgebra, determined by pair of quantum spaces, is calculated. The Poincaré series of some deformations of GL(n) is calculated. A new deformation of GL(3) with the correct dimension is given.
ISSN:0092-7872
DOI:10.1080/00927879508825255
出版商:Marcel Dekker, Inc.
年代:1995
数据来源: Taylor
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7. |
Finite quotients of the automorphism group of a free group |
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Communications in Algebra,
Volume 23,
Issue 3,
1995,
Page 891-912
Mong Lung Lang,
Ka Hin Leung,
Yan Loi Wong,
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摘要:
The automorphism group AutFnof a free group Fnof rank n acts on the product of n copies of a group G by substituting n elements of G into the words defining an automorphism of the free group. This gives rise to an antihomomorphism from AutFnto a permutation group. We determine this antihomomorphic image of AutFnwhen G is the semidirect product Zpx Zq
ISSN:0092-7872
DOI:10.1080/00927879508825256
出版商:Marcel Dekker, Inc.
年代:1995
数据来源: Taylor
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8. |
Extension of valuations on derived groups of division rings |
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Communications in Algebra,
Volume 23,
Issue 3,
1995,
Page 913-926
M. Mahdavi - Hezavehi,
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摘要:
In this paper we study division rings D in which the elements of the derived group D1of D∗= D - {0} are algebraic over the centre of D.
ISSN:0092-7872
DOI:10.1080/00927879508825257
出版商:Marcel Dekker, Inc.
年代:1995
数据来源: Taylor
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9. |
Direct sums of m-injective modules and module classes |
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Communications in Algebra,
Volume 23,
Issue 3,
1995,
Page 927-940
Yiqiang Zhou,
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ISSN:0092-7872
DOI:10.1080/00927879508825258
出版商:Marcel Dekker, Inc.
年代:1995
数据来源: Taylor
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10. |
Families of simple lie algebras of characteristic two |
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Communications in Algebra,
Volume 23,
Issue 3,
1995,
Page 941-954
Gordon Brown,
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ISSN:0092-7872
DOI:10.1080/00927879508825259
出版商:Marcel Dekker, Inc.
年代:1995
数据来源: Taylor
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