If element a, b of semigroup G, equation ax=b and ya=b have unique solution in G, then G is group

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Lecture-6|If a,b are any two elements in G,then the equation ax=b and ya=b have unique solution in GLecture-6|If a,b are any two elements in G,then the equation ax=b and ya=b have unique solution in G
theorem :- if a, b belongs to group G then eq ax=b and ya=b have unique solutions in Gtheorem :- if a, b belongs to group G then eq ax=b and ya=b have unique solutions in G
if a,b are any two elements of a Group G then the equations ax=b & ya=b have unique solution in Gif a,b are any two elements of a Group G then the equations ax=b & ya=b have unique solution in G
Group Theory | If a and b are elements of a Group G, equation ax=b & ya=b have unique solution in G.Group Theory | If a and b are elements of a Group G, equation ax=b & ya=b have unique solution in G.
Group Theory The equations ax=b and ya=b have unique solution in GGroup Theory The equations ax=b and ya=b have unique solution in G
In a group (G,.) for a,b(G the equations ax=b and ya=b has a unique solution In a group (G,.) for a,b(G the equations ax=b and ya=b has a unique solution
If a and b are elements of a group G, then the equations ax=b and ya=b have unique solutions in G.If a and b are elements of a group G, then the equations ax=b and ya=b have unique solutions in G.
In a group G a,b belongs to G,the equations ax=b and ya=b have unique solution....In a group G a,b belongs to G,the equations ax=b and ya=b have unique solution....