Quantum computational algebra with a non-commutative generalization-Reference-Cited by-同舟云学术

Quantum computational algebra with a non-commutative generalization

Published:2016-02-01 Issue:1 Volume:66 Page:19-34
ISSN:1337-2211
Container-title:Mathematica Slovaca
language:en
Short-container-title:

Author:

Chen Wenjuan¹,Dudek Wieslaw A.²

Affiliation:

1. School of Mathematical Sciences University of Jinan West Road of Nan Xinzhuang 336 250022, Jinan, Shandong P. R. CHINA

2. Faculty of Pure and Applied Mathematics Wrocław University of Science and Technology Wyb. Wyspiańskiego 27 50-370 Wrocław POLAND

Abstract

Abstract We introduce a non-commutative generalization of quasi-MV algebra, called quasipseudo-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 quasipseudo-MV algebra.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/ms-2015-0112/pdf

Reference17 articles.

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2. Bou, F.—Paoli, F.—Ledda, A.—Giuntini, R.:The logic of quasi-MV algebras, J. Logic. Comput. 20 (2010), 619–643.

3. Dvurečenskij, A.:On partial addition in pseudo MV-algebras. In: Proc. Fourth Internat. Symp. on Economic Informatics, Bucharest, 1999, pp. 952–960.

4. Dvurečenskij, A.:On pseudo MV-algebras, Soft Comput. 5 (2001), 347–354.

5. Dvurečenskij, A.—Vetterlein, T.:Pseudoeffect algebras. I. Basic properties, Internat. J. Theoret. Phys. 40 (2001), 685–701.

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