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1. |
Schurian vector space categories of polynomial growth |
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Communications in Algebra,
Volume 28,
Issue 11,
2000,
Page 5007-5020
Viktor Bekkert,
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摘要:
The aim of this paper is to prove criteria of polynomial growth and domestic representation type of schurian vector space categories. A list of all infinitely sincere schurian vector space categories of polynomial growth is obtained.
ISSN:0092-7872
DOI:10.1080/00927870008827140
出版商:Gordon and Breach Science Publishers Ltd.
年代:2000
数据来源: Taylor
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2. |
Kriterien für ganfzheit |
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Communications in Algebra,
Volume 28,
Issue 11,
2000,
Page 5021-5037
Helmut Zöschinger,
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ISSN:0092-7872
DOI:10.1080/00927870008827141
出版商:Gordon and Breach Science Publishers Ltd.
年代:2000
数据来源: Taylor
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3. |
Butler groups as smooth ascending unions |
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Communications in Algebra,
Volume 28,
Issue 11,
2000,
Page 5039-5045
Ladislav Bican,
K.M. Rangaswamy,
Charles Vinsonhaler,
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摘要:
Fuchs and Rangaswamy [8] proved that a smooth ascending unionG= U α<λGα of pure B2-subgroups is a B2-group provided either λ = ωoor λ = ω1,/G/ = N1and all the subgroupsGαare decent inG. In this paper, we extend this result to arbitrary cardinal numbers λ under suitable hypotheses on the factor-groupsGα+1/Gα.
ISSN:0092-7872
DOI:10.1080/00927870008827142
出版商:Gordon and Breach Science Publishers Ltd.
年代:2000
数据来源: Taylor
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4. |
On homomorphisms between direct products of infinite cyclic groups |
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Communications in Algebra,
Volume 28,
Issue 11,
2000,
Page 5047-5052
John D. O'Neill,
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ISSN:0092-7872
DOI:10.1080/00927870008827143
出版商:Gordon and Breach Science Publishers Ltd.
年代:2000
数据来源: Taylor
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5. |
On N1-free modules with trivial dual |
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Communications in Algebra,
Volume 28,
Issue 11,
2000,
Page 5053-5065
Simone L. Pabst,
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ISSN:0092-7872
DOI:10.1080/00927870008827144
出版商:Gordon and Breach Science Publishers Ltd.
年代:2000
数据来源: Taylor
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6. |
Indecomposable representations of generalized weyl algebras |
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Communications in Algebra,
Volume 28,
Issue 11,
2000,
Page 5067-5100
Vladimir Bavula,
Viktor Bekkert,
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摘要:
For a class of generalized Weyl algebras which includes the Weyl algebras Ana criterion is given as to when the category of indecomposable weight and generalized weight modules with supports from a fixed orbit is tame. In tame cases indecomposable modules are described.
ISSN:0092-7872
DOI:10.1080/00927870008827145
出版商:Gordon and Breach Science Publishers Ltd.
年代:2000
数据来源: Taylor
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7. |
Quantum algebras, quantum coalgebras, invariants of 1-1 tangles and knots |
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Communications in Algebra,
Volume 28,
Issue 11,
2000,
Page 5101-5156
Louis Kauffman,
David E. Radford,
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摘要:
Quantum coalgebras are defined and studied. A theory of associated invariants of 1-1 tangles, knots and links is developed. The notion of quantum coalgebra is more general than dual of quantum algebra. Examples of quantum algebras include quasitriangular Hopf algebras and examples of quantum coalgebras include coquasi triangular Hopf algebras.
ISSN:0092-7872
DOI:10.1080/00927870008827146
出版商:Gordon and Breach Science Publishers Ltd.
年代:2000
数据来源: Taylor
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8. |
Groups in the class semigroup of a prüfer domain of finite character |
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Communications in Algebra,
Volume 28,
Issue 11,
2000,
Page 5157-5167
S. Bazzoni,
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摘要:
The class semigroup of a commutative integral domainRis the semigroupS(R) of the isomorphism classes of the nonzero ideals ofRwith operation induced by multiplication. We consider Prufer domains of finite character, i.e. Prüfer domains in which every nonzero ideal is contained but in a finite number of maximal ideals. In [1] it is proved that, ifRis such a Prüfer domain, then the semigroupS(Ris a Clifford semigroup, namely it is the disjoint union of the subgroups associated to each idempotent element. In [2] we gave a description of a generating set for the A-semilattice of the idempotent elements ofS(R). In this paper we consider the constituent groups of the class semigroup. We prove that the groups associated to idempotent elements ofS(R) are extensions of class groups of overrings of (R) by means of direct products of archimedean groups of localizations of(R) at idempotent prime ideals.
ISSN:0092-7872
DOI:10.1080/00927870008827147
出版商:Gordon and Breach Science Publishers Ltd.
年代:2000
数据来源: Taylor
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9. |
Basic properties ofe-inversive semigroups |
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Communications in Algebra,
Volume 28,
Issue 11,
2000,
Page 5169-5182
Heinz Mitsch,
Mario Petrich,
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摘要:
Generalizing a property of regular resp. finite semigroups a semigroup S is called E-(0-) inversive if for every a ∈S4(a ≠ 0) there exists x ∈Ssuch that ax (≠ 0) is an idempotent. Several characterizations are given allowing to identify the (completely, resp. eventually) regular semigroups in this class. The case that for every a ∈S4(≠ 0) there exist x,y ∈Ssuch that ax = ya(≠ 0) is an idempotent, is dealt with also. Ideal extensions of E- (0-)inversive semigroups are studied discribing in particular retract extensions of completely simple semigroups. The structure of E- (0-)inversive semigroups satisfying different cancellativity conditions is elucidated. 1991 AMS classification number: 20M10.
ISSN:0092-7872
DOI:10.1080/00927870008827148
出版商:Gordon and Breach Science Publishers Ltd.
年代:2000
数据来源: Taylor
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10. |
A criterion for polynomial growth of a-free two-peak posets of tame prinjective type* |
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Communications in Algebra,
Volume 28,
Issue 11,
2000,
Page 5183-5202
Stanislaw Kasjan,
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摘要:
It is well known from the results of L, A. Nazarova and A. G. Zavadskij [18], [19], see also [25, Chapter 15], that a poset J with one maximal element is of tame prinjective type and of polynomial growth if and only ifJdoes not contain neither any of the Nazarova's hypercritical posets (1,1,1,1,1)*, (1,1,1,2)*,(2,2,3)*, (1,3,4)*,(W,5)*,(1,2,6)*nor the Nazarova-Zavadskij poset (NZ)*(see Table 1 below). In the present paper we extend this result to a class of posets with two maximal elements. We show that Ã-free poset with two maximal elements is of tame representation type and of polynomial growth if and only if the Tits quadratic form qs→ Z (see (1.7) below) associated withJis weakly non-negative andJdoes not contain any of the six posets listed in Table 1 as a peak subposet.
ISSN:0092-7872
DOI:10.1080/00927870008827149
出版商:Gordon and Breach Science Publishers Ltd.
年代:2000
数据来源: Taylor
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