共查询到20条相似文献,搜索用时 105 毫秒
1.
本文研究了特殊值 l-群的一类特殊的 l-同态象及 l-扩张闭性 .在非超 Archimedean的条件下 ,证明了 l-群 G是特殊值的当且仅当对于 G的每个闭 l-理想 K,G/ K与 K均是特殊值的 . 相似文献
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引入弱奇异元及弱奇异l-群的概念,通过建立弱奇异元及弱奇异l-群的刻划,研究了一般弱奇异l-群的性质及相关的结构,部分地改进了有关奇异l-群已有的结果. 相似文献
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非可换的奇异l-群 总被引:2,自引:1,他引:1
吕新民 《纯粹数学与应用数学》2002,18(2):178-181
通过建立奇异元以及奇异l-群的刻划,研究了一般非可换的奇异l-群的性质及相关的结构. 相似文献
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有限值l-群与特殊值l-群等价的一个充要条件 总被引:6,自引:0,他引:6
吕新民 《纯粹数学与应用数学》2001,17(1):66-69
G是l-群,本文主要证明:G是有限值的当且仅当G是特殊值的且C(G)=K(G),作为应用,我们证明了G是有基的l-群,则两者之间是等价的。 相似文献
6.
本研究了特殊值l-群的一类特殊的l-同态象及l-扩张闭性。在非超Archimedean的条件下,证明了l-群G是特殊值的当且仅当对于G的每个闭l-理想K,G/K与K均是特殊值的。 相似文献
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l-群的凸l-子群格的极小条件 总被引:5,自引:0,他引:5
吕新民 《纯粹数学与应用数学》2000,16(4):47-50,55
设G是L-群,C(G)是G的凸l-子群格.称C(G)满足极小条件,如果C(G)中每个元均包含一个原子元.本文将C(G)的链条件(见文[1])推广到极小条件,主要结果是:C(G)满足极小条件且C(G)中每个原子元均是G的基数直和项当且仅当∑rλ∈∪∈Пλ∈ARλ(其中每个Rλ≌实数加群R的某个子群)。 相似文献
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文中给出了定义在第二可数完备布尔代数上,取值于半序交换群内的群元值测度的一个定义和一些性质. 相似文献
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S. A. Gurchenkov 《Algebra and Logic》1995,34(4):219-222
An Engel l-group generating a proper normal-valued l-variety is shown to be o-approximable. It is also established that for every proper normal-valued l-varietyF, the class (F) of Engel l-groups from F is a torsion class.Translated fromAlgebra i Logika, Vol. 34, No. 4, pp. 398–404, July-August, 1995. 相似文献
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S. A. Gurchenkov 《Algebra and Logic》1996,35(1):16-20
It is proved that only o-approximable l-varieties can share the amalgamation property. We construct a formation of rigidly
ordered groups that is not amalgamated in the variety of o-approximable l-groups and, in particular, in the variety of rigid
l-groups. It is shown that all the known formations of o-approximable l-groups having no amalgams in the variety of o-approximable
l-groups are amalgamated in the variety of all lattice-ordered groups.
Translated fromAlgebra i Logika, Vol. 35, No. 1, pp. 31–40, January–February, 1996. 相似文献
13.
N. V. Bayanova 《Algebra and Logic》1996,35(4):211-216
We investigate the structure of the lattice of quasivarieties of lattice-ordered groups (l-groups). Series of coverings for
certain particular quasivarieties of l-groups are constructed.
Supported by RFFR grant No. 93-011-1524.
Translated fromAlgebra i Logika, Vol. 35, No. 4, pp. 379–388, July–August, 1996. 相似文献
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The structure of transitive ordered permutation groups 总被引:3,自引:0,他引:3
We give some necessary and sufficient conditions for transitive l-permutation groups to be 2-transitive. We also discuss primitive components and give necessary and sufficient conditions for transitive l-permutation groups to be normal-valued. 相似文献
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S. V. Morozova 《Algebra and Logic》2000,39(5):335-340
We point out quasivarieties of torsion-free solvable groups (and varieties of solvable l-groups) which are not generated by
their all n-generated groups (l-groups), i.e., basis ranks for such are infinite.
Supported by RFFR grant No. 99-01-00156.
Translated fromAlgebra i Logika, Vol. 39, No. 5, pp. 586–594, September–October, 2000. 相似文献
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关于l-群的半单结构 总被引:3,自引:0,他引:3
令G是一个l-群,G的一个凸l-子群A叫做多余的,如果对G的任-凸l-子群W,只要A∨W=G,就有W=G.复令R(G)为G的所有多余凸l-子群的集合并生成的凸l-子群.我们证明了R(G)是l-群G的一种报并且是在Amitsur-Kurosh意义下的根.进一步我们得到了有限值l-群的半单结构定理即R(G)=0当且仅当Gl-同构于具有半单性的单l-群的亚直积,同时我们还得到了一系列有意义的推论. 相似文献
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本文研究了C-根类(即凸l-子群格可分辨根类)和K-根类.证明了:投射l-群、强投射l-群、两两分裂l-群、F-群等许多l-群类都是l-子群格可分辨的,但Hamiltonl-群不是;C-根类格是根类格的一个有伪补的闭子格,而且是根类半群的一个子半群.每个凸O一子群都是闭的,而且给出了由一簇K一根类及一个根类所生成的K-根类的形式. 相似文献
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We investigate a categorial duality between quasi MV-algebras (a variety of algebras arising from quantum computation and
tightly connected with fuzzy logic) and a reflective subcategory of l-groups with strong units.
相似文献
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Michael R. Darnel 《Algebra Universalis》2009,60(4):405-423
For a set X of archimedean o-groups, the class of normal-valued ℓ-groups having the property that every value quotient is in X is a complete torsion class. A question of Conrad whether the class is a product torsion class is partially answered by investigating values and value quotients of products of normal-valued
ℓ-groups. A major result is that the conjecture that all outer value quotients must be Dedekind complete is equivalent to
the conjecture that measurable cardinals do not exist.
Received January 20, 2007; accepted in final form February 22, 2008. 相似文献
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It is proved that the variety
of all normal-valued m-groups is the greatest proper subvariety in the lattice of all m-varieties. 相似文献