QUANTUM COMPUTATIONAL ALGEBRA WITH A NON-COMMUTATIVE GENERALIZATION

被引：14

作者：

Chen, Wenjuan ^{[1
]}

Dudek, Wieslaw A. ^{[2
]}

机构：

[1] Univ Jinan, Sch Math Sci, West Rd Nan Xinzhuang 336, Jinan 250022, Shandong, Peoples R China

[2] Wroclaw Univ Sci & Technol, Fac Pure & Appl Math, Wyb Wyspianskiego 27, PL-50370 Wroclaw, Poland

来源：

MATHEMATICA SLOVACA | 2016年 / 66卷 / 01期

基金：

中国国家自然科学基金;

关键词：

direct product decomposition; pseudo-MV algebra; quasi l-group; quasi-MV algebra; quasi-pseudo-MV algebra; QUASI-MV ALGEBRAS; PSEUDOEFFECT ALGEBRAS; VARIETIES; LOGIC;

D O I：

10.1515/ms-2015-0112

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce a non-commutative generalization of quasi-MV algebra, called quasi-pseudo-MV algebra. We present some properties of quasi-pseudo-MV algebras and investigate the direct product decomposition of them. Further, we generalize quasi l-group to the non-commutative case and prove the interval of a non-commutative quasi l-group with a strong quasi-unit is a quasi-pseudo-MV algebra. (C) 2016 Mathematical Institute Slovak Academy of Sciences

引用

页码：19 / 34

页数：16

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