Mathematics Homework Solutions

Abstract algebra proofs

questions 3,4,5,6,7 are all similar type questions, please advise 2 attachments cover the questions asked in the terminology the teacher wants, thanks Prove that if....

Abstract algebra proofs

Prove the distributive law...(see attached)

Relations

See attached Let R be the relation on the set {1,2} defined by 2R2 and the relation R holds for no other ordered pair except the pair (2,2). Show that R has exactly two of the three defining properties of an equivalence relation.

Abstract algebra proofs

Write out the multiplication table for Z_6. Show exactly two elements have a multiplicative inverse...(see attached)

Rings and ideals

See attached 1-5... Let R be a ring with identity c and let A be an ideal....

Ideals and rings

See attached Let n=md, with m and d being positive integers. Show that the principal ideal generated by [m] in Z_n has exactly d elements....

abstract algebra

please assist with 1 and 2 and then 3, 4, 5. thanks, and by the weekend is fine, this is all for this week as i will study this for Monday exam. thanks

Roots

Find the required roots and express them in algebraic form...(see attached). Skip #9.

Abstract Algebra : Factorization

Please assist with 10 questions circled (except question 4). Please see the attached file for the fully formatted problems.

Sets, groups, and subgroups

See attached Which of the following sets are groups...

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