MATH 350 Final: MATH 350 Amherst F17M350 2803 29SosaFinal

• School: Amherst College
• Department: Mathematics and Statistics
• Course: MATH 350
• Professor: All

Document Summary

Partial credit will be given only if su cient progress towards an answer is shown. You need to provide a de nition for all technical terms you use on that have not been previously de ned on the exam). (a) group (b) homomorphism of groups. Fall 2017 (c) kernel of group homomorphism (d) normal subgroup (e) center of a group. Fall 2017: (20 points) de ne the following concepts. (please be precise. You need to provide a de nition for all technical terms you use on that have not been previously de ned on the exam). (a) ring (b) zero divisor. Fall 2017 (c) ideal (d) prime ideal (e) field. Make sure all the relevant hypothesis for the theorem are expressed fully and properly. (a) (5 points) the first isomorphism theorem for groups. (b) (5 points) cayley"s theorem. (c) (5 points) the class equation.