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We find some interesting relations between right alternative and left nuclear square AG-groupoids such as (1) A right alternative AGgroupoid S is left nuclear square, (2) For a right alternative AG-groupoid S the conditions (i) S is right nuclear square, (ii) S is middle nuclear square, (iii) S is nuclear square, are equivalent, (3) a right alternative AG * * -groupoid S is nuclear square, and (4) a cancellative left nuclear square AG-groupoid S is T 1 -AG-groupoid. Mathematics Subjectdoi:10.12988/imf.2013.13024 fatcat:4y52kh5kn5gkdegolkr52n3ele