Question: 6. 20pp. Consider the set S labed with adition and multiplication defined by the following tables: a) Is S a field? Justify your answer b)

6. 20pp. Consider the set S labed with adition and multiplication

6. 20pp. Consider the set S labed with adition and multiplication defined by the following tables: a) Is S a field? Justify your answer b) If yes, find the identity element of each operation c) Ifyes, find the all additive and multiplicative inverse pairs. 6. 20pp. Consider the set S labed with adition and multiplication defined by the following tables: a) Is S a field? Justify your answer b) If yes, find the identity element of each operation c) Ifyes, find the all additive and multiplicative inverse pairs

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