SUBDIRECT DECOMPOSITIONS AND THE RADICAL OF A GENERALIZED BOOLEAN ALGEBRA EXTENSION OF A LATTICE ORDERED GROUP

JAN JAKUBIK

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SUBDIRECT DECOMPOSITIONS AND THE RADICAL OF A GENERALIZED BOOLEAN ALGEBRA EXTENSION OF A LATTICE ORDERED GROUP

机译：格阶群的广义布尔代数的次分解和根。

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摘要

The extension of a lattice ordered group A by a generalized Boolean algebra B will be denoted by AB- In this paper we apply subdirect decompositions of Ag for dealing with a question proposed by Conrad and Darnel. Further, in the case when A is linearly ordered we investigate (i) the completely subdirect decompositions of Ag and those of B, and (ii) the values of elements of AB and the radical.

机译：广义布尔代数B扩展的晶格有序群A的扩展将用AB表示。在本文中，我们应用Ag的子分解来处理Conrad和Darnel提出的问题。此外，在将A线性排序的情况下，我们研究（i）Ag和B的完全亚间接分解，以及（ii）AB元素和基团的值。

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《Czechoslovak Mathematical Journal》 |2006年第2期|共22页
作者
JAN JAKUBIK;
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正文语种 eng
中图分类数学;
关键词
lattice ordered group; generalized Boolean algebra; extension; vector lattice; subdirect decomposition; value; radical;

机译：格有序群广义布尔代数扩展向量格次分解值根;

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专利

1. SUBDIRECT DECOMPOSITIONS AND THE RADICAL OF A GENERALIZED BOOLEAN ALGEBRA EXTENSION OF A LATTICE ORDERED GROUP [J] . JAN JAKUBIK Czechoslovak Mathematical Journal . 2006,第2期

机译：格阶群的广义布尔代数的次分解和根。
2. Subdirect decompositions and the radical of a generalized Boolean algebra extension of a lattice ordered group [J] . Jakubík Ján Czechoslovak Mathematical Journal . 2006,第2期

机译：子有序分解和格有序组的广义布尔代数扩展的根
3. Subdirect decompositions and the radical of a generalized Boolean algebra extension of a lattice ordered group [J] . Ján Jakubík Czechoslovak Mathematical Journal . 2006,第2期

机译：子有序分解和格有序组的广义布尔代数扩展的根
4. Subdirect Decomposition of Concept Lattices [C] . Rudolf Wille International conference on formal concept analysis . 2014

机译：概念格的子分解
5. Associated primes over Ore extensions and generalized Weyl algebras. [D] . Nordstrom, Hans Erik. 2005

机译：Ore扩展和广义Weyl代数的素数。
6. Remarks on the Lebesgues Measure Extension Device for Finitely Additive Boolean Lattices [O] . Otton Martin Nikodým 1951

机译：关于有限加法布尔格的Lebesgue测度扩展装置的评论
7. Subdirect decompositions and the radical of a generalized Boolean algebra extension of a lattice ordered group [O] . Jakubík, Ján 2006

机译：子有序分解和格有序组的广义布尔代数扩展的根

SUBDIRECT DECOMPOSITIONS AND THE RADICAL OF A GENERALIZED BOOLEAN ALGEBRA EXTENSION OF A LATTICE ORDERED GROUP

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