This is as far as I understood:

reproduce and only with those on their own planet so that the child remains of the same ethnicity

I think this means Closure property

A cloned with B producing C. C cloned with D producing E. Then B cloned with D producing F. Then A cloned with F producing an exact copy of E

This seems to be associative property

E cloned with ∃ and produced a special person, 0, who contained no DNA. Now anybody who cloned with 0 produced an exact replica of themselves

This is an inverse with 0 as identity, like an additive inverse with 0 as identity

This is as far as I understood:

reproduce and only with those on their own planet so that the child remains of the same ethnicity

I think this means Closure property

A cloned with B producing C. C cloned with D producing E. Then B cloned with D producing F. Then A cloned with F producing an exact copy of E

This seems to be associative property

E cloned with ∃ and produced a special person, 0, who contained no DNA. Now anybody who cloned with 0 produced an exact replica of themselves

This is an inverse with 0 as identity, like an additive inverse with 0 as identity

I think

Each group of species is a universal set and each member is a subset of the universal set. (The inverse is Complementary set). And the fight refers to intersection of the sets. So fights/intersection of subsets of same universal set result in another subset of same universal set. But fights/intersections of subsets of different universal sets result in Null set. So it can be argued that Null set means no fight.