Weak Pseudo-Quasi-Wajsberg Algebras

Liu, Wenjun; Chen, Wenjuan

doi:10.1007/978-3-319-46206-6_37

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Definition 8 [18]1

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2019

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(2 citation statements)

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“…Based on pseudo-quasi-Wajsberg algebras, authors introduced the concepts of weak pseudo-quasi-Wajsberg algebras following Ceterchi's way and studied the related properties of them in [19].…”

Section: Definition 8 [18]mentioning

confidence: 99%

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Some Results in Weak Pseudo-Quasi-Wajsberg Algebras

Liu

Chen

2019

Symmetry

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In this paper we continue to investigate weak pseudo-quasi-Wajsberg algebras which are called weak PQW-algebras for short. First, some definitions are recalled and the basic properties of weak PQW-algebras are presented. Next, we define the notions of type-I filters, type-II filters, left weak filters and right weak filters of a weak PQW-algebra and study related properties of them. We also discuss the relation between normal filters and filter congruences on a weak PQW-algebra. Finally, we characterize the relationship between weak PQW-algebras and some bounded residuated quasi-ordered monoids with supplementary conditions.

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Section: Definition 8 [18]mentioning

confidence: 99%

“…Meanwhile, pseudo-quasi-Wajsberg algebras were also defined and investigated for the equivalence to pseudo-quasi-MV algebras in [18]. Following Ceterchi's way, Liu et al introduced the concepts of weak pseudo-quasi-Wajsberg algebras (weak PQW-algebras, for short) and study some related properties of them in [19].…”

Section: Introductionmentioning

confidence: 99%

Some Results in Weak Pseudo-Quasi-Wajsberg Algebras

Liu

Chen

2019

Symmetry

View full text Add to dashboard Cite

show abstract

Weak Pseudo-Quasi-Wajsberg Algebras

Cited by 1 publication

References 7 publications

Some Results in Weak Pseudo-Quasi-Wajsberg Algebras

Some Results in Weak Pseudo-Quasi-Wajsberg Algebras

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