Meet the concept↗
A nonempty set F is called a field if it satisfies three specific algebraic conditions: (i) F is an additive abelian group, (ii) the set of non-zero elements F - {0} is an abelian group with respect to multiplication, and (iii) both left and right distributive laws hold in F.
Conditions: F is a nonempty set.; The conditions must hold for all elements x, y, z in F.
2:30 – 5:13Watch this moment ↗
A nonempty set F is called a field if it satisfies three specific algebraic conditions: (i) F is an additive abelian group, (ii) the set of non-zero elements F - {0} is an abelian group with respect to multiplication, and (iii) both left and right distributive laws hold in F.
Conditions: F is a nonempty set.; The conditions must hold for all elements x, y, z in F.
2:30 – 5:13Watch this moment ↗