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This homework assignment for an abstract algebra course contains 7 problems: 1) Showing the only ring homomorphism from a ring to itself is the identity map. 2) Properties of nilpotent elements in commutative rings with identity. 3) Properties of Boolean rings, including showing primality implies maximality. 4) Properties of intersections of ideals. 5) Characterizing units in Euclidean domains. 6) Describing invertible and irreducible elements in the ring of formal power series, and showing it is a UFD.

Author

Suman

Language

EN