Archimedeanness and the MacNeille completion of pseudoeffect algebras and po-groups

被引：0

作者：

Anatolij Dvurečenskij

Thomas Vetterlein

机构：

[1] Slovak Academy of Sciences,Mathematical Institute

[2] University of Dortmund,Faculty of Computer Sciences I

来源：

algebra universalis | 2003年 / 50卷

关键词：

03G12, 81P10, 06F05, 06F15.; Pseudoeffect algebras; po-groups; PE-algebras with Riesz properties; archimedean PE-algebras; sup-homogeneous PE-algebras; MacNeille completion of PE-algebras;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Pseudoeffect (PE-) algebras are partial algebras differing from effect algebras in that they need not satisfy the commutativity assumption. PE-algebras typically arise from intervals of po-groups; this applies in particular to all those which satisfy a certain Riesz property.

引用

页码：207 / 230

页数：23

共 24 条

[1] Archimedeanness and the MacNeille completion of pseudoeffect algebras and po-groups
Dvurecenskij, A
Vetterlein, T
[J]. ALGEBRA UNIVERSALIS, 2003, 50 (02) : 207 - 230
[2] Infinitary lattice and Riesz properties of pseudoeffect algebras and po-groups
Dvurecenskij, A
Vetterlein, T
[J]. JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2003, 75 : 295 - 311
[3] Algebras in the positive cone of po-groups
Dvurecenskij, A
Vetterlein, T
[J]. ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS, 2002, 19 (02): : 127 - 146
[4] Algebras in the Positive Cone of po-Groups
Anatolij Dvurečenskij
Thomas Vetterlein
[J]. Order, 2002, 19 : 127 - 146
[5] Perfect effect algebras are categorically equivalent with abelian interpolation po-groups
Dvurecenskij, Anatolij
[J]. JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2007, 82 : 183 - 207
[6] Po-groups and hypergroups in a topos
Khanjanzadeh, Zeinab
Madanshekaf, Ali
[J]. TURKISH JOURNAL OF MATHEMATICS, 2019, 43 (05) : 2578 - 2591
[7] The Lexicographic Product of Po-groups and n-Perfect Pseudo Effect Algebras
Anatolij Dvurečenskij
Jan Krňávek
[J]. International Journal of Theoretical Physics, 2013, 52 : 2760 - 2772
[8] The Lexicographic Product of Po-groups and n-Perfect Pseudo Effect Algebras
Dvurecenskij, Anatolij
Krnavek, Jan
[J]. INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2013, 52 (08) : 2760 - 2772
[9] MacNeille completion and profinite completion can coincide on finitely generated modal algebras
Jacob Vosmaer
[J]. Algebra universalis, 2009, 61
[10] MacNeille completion of centers and centers of MacNeille completions of lattice effect algebras: Generic scheme behind
Niederle, Josef
Paseka, Jan
[J]. MATHEMATICA SLOVACA, 2012, 62 (06) : 1193 - 1208

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