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
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页码：19 / 34
页数：16
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