Abelian E-groups With Strong Unit And Perfect Mv-algebras

Lawrence P. Belluce; Antonio Di Nola; Brunella Gerla

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Abelian E-groups With Strong Unit And Perfect Mv-algebras

机译：具有强大单元和完美Mv代数的Abelian E群

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We investigate the class of abelian e-groups with strong unit corresponding to perfect MV-algebras via the Γ functor, showing that this is a universal subclass of the class of all abelian e-groups with strong unit and describing the formulas that axiomatize it. We further describe results for classes of abelian e-groups with strong unit corresponding to local MV-algebras with finite rank.

机译：我们通过Γ函子研究了具有与理想MV代数相对应的强单位的阿贝尔e-族群的类别，表明这是所有具有强单元的阿贝尔e-族群的通用子类，并描述了公理化它的公式。我们进一步描述了具有强单位的阿贝尔e-群的类的结果，其对应于具有有限秩的局部MV-代数。

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来源
《Order》 |2008年第4期|p.387-401|共15页
作者
Lawrence P. Belluce; Antonio Di Nola; Brunella Gerla;
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作者单位

Department of Mathematics, British Columbia University, Vancouver, British Columbia Canada;

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收录信息美国《科学引文索引》(SCI);
原文格式 PDF
正文语种 eng
中图分类
关键词
lattice-ordered groups; mv-algebras; perfect mv-algebras;

机译：格有序群;mv-代数;完美的mv-代数;

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专利

1. Abelian ℓ -Groups with Strong Unit and Perfect MV-Algebras [J] . Lawrence P. Belluce, Antonio Di Nola, Brunella Gerla Order . 2008,第4期

机译：Abelianℓ-具有强大单位和完美MV-代数的群
2. The Morita-equivalence between MV-algebras and lattice-ordered abelian groups with strong unit [J] . Caramello O., Russo A. C. Journal of Algebra . 2015,第Null期

机译：MV-代数与具有强单位的格序阿贝尔群之间的Morita等价性
3. LATTICE-ORDERED ABELIAN GROUPS AND PERFECT MV-ALGEBRAS: A TOPOS-THEORETIC PERSPECTIVE [J] . Caramello Olivia, Russo Anna Carla The bulletin of symbolic logic . 2016,第2期

机译：格定序的Abelian群和完美的MV-代数：一个TOPOS理论的观点
4. The logic of perfect MV-algebras [C] . L. P. Belluce, A. Di Nola, B. Gerla Conference of the European Society for Fuzzy Logic and Technology . 2007

机译：完美的MV-Algebras逻辑
5. Perfectoid Covers of Abelian Varieties and the Weight-Monodromy Conjecture [D] . Wear, Peter. 2020

机译：Beedoid涵盖阿贝尔品种和重量单言猜测
6. Molecular structure and immunity specificity of colicin E6 an evolutionary intermediate between E-group colicins and cloacin DF13. [O] . A Akutsu, H Masaki, T Ohta 1989

机译：大肠菌素E6的分子结构和免疫特异性这是E组大肠菌素和cloacin DF13之间的进化中间体。
7. The Morita-equivalence between MV-algebras and lattice-ordered abelian groups with strong unit [O] . Caramello, O, Russo, A.C. 2015

机译：mV-代数与具有强单位的格序有序阿贝尔群之间的morita等价性
8. Abelian Chern-Simons theory as the strong large-mass limit of topologically massive abelian gauge theory: the Wilson loop [R] . Giavarini, G. , Martin, C. P. , Ruiz Ruiz, F. 1993

机译：abelian Chern-simons理论作为拓扑大规模阿贝尔规范理论的强大质量极限：Wilson环

Abelian E-groups With Strong Unit And Perfect Mv-algebras

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