Original sentence: In 1964 David Singmaster proposed the following problem in the American Mathematical Monthly: "What is the smallest non-trivial ring with 1 that is not a field.In abstract algebra, a finite ring is a ring that has a finite number of elements.M Bloom in a three page proof (71:918–20) that there are eleven rings of order 4, three of which have a 1.The extent of these algebraic tools makes the study of finite rings appear to be algebraic combinatorics
Edited sentence: (2) How many rings of order four are there.Are there more.Bloom in a two page proof (71:919–20) that there are eleven rings of order 4, three of which have a multiplicative identity.Find two such rings with this minimal order.In 1964 David Singmaster proposed the following problem in the American Mathematical Monthly: "(1) What is the order of the smallest non-trivial ring with identity which is not a field.In abstract algebra, a finite ring is a ring (not necessarily with a multiplicative identity) that has a finite number of elements