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On relations between right alternative and nuclear square AG-groupoids

Keywords: T1-AG-groupoids , nuclear square AG-groupoid , alternative AG-groupoid , AG -groupoid

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Abstract:

We find some interesting relations between right alternative andleft nuclear square AG-groupoids such as (1) A right alternative AG-groupoidS is left nuclear square, (2) For a right alternative AG-groupoidS the conditions (i) S is right nuclear square, (ii) S is middle nuclearsquare, (iii) S is nuclear square, are equivalent, (3) a right alternativeAG -groupoid S is nuclear square, and (4) a cancellative left nuclearsquare AG-groupoid S is T1-AG-groupoid.

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