An ordered structure of pseudo-BCI-algebras. (Q2798056)
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scientific article; zbMATH DE number 6562161
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An ordered structure of pseudo-BCI-algebras. |
scientific article; zbMATH DE number 6562161 |
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1 April 2016
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pseudo-BCI-algebra
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directoid
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antitone mapping
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pseudo-BCI-structure
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0.90017426
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An ordered structure of pseudo-BCI-algebras. (English)
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To any pseudo-BCI-algebra [the reviewer and \textit{Y. B. Jun}, East Asian Math. J. 24, No. 2, 187--190 (2008; Zbl 1149.06010)], two binary operations (each of them being similar to that of a directoid) and a set of couples of antitone mappings is assigned which are in a certain sense mutually inverse. There is a one-to-one correspondence between a pseudo-BCI-algebra and the derived structure in the sense that the given pseudo-BCI-algebra can be recovered from this structure.
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