in Set Theory & Algebra edited by
3,840 views
21 votes
21 votes
Match the pairs in the following questions:$$\begin{array}{|ll|ll|}\hline (a) & \text{Groups} & (p) & \text{Associativity} \\\hline  (b) & \text{Semigroups} & (q) & \text{Identity} \\\hline   (c) & \text{Monoids} & (r)  & \text{Commutativity} \\\hline (d) & \text{Abelian groups} & (s)  & \text{Left inverse}  \\\hline \end{array}$$
in Set Theory & Algebra edited by
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2 Answers

27 votes
27 votes
Best answer
  • group $\to$ left inverse
  • semigroup $\to$ associative
  • monoid $\to$ identity
  • abelian group $\to$ commutative
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18 votes
18 votes
I think the matching should be in ONE -to-MANY manners.

(a) Groups  ----------------> (p) Associativity ,(q) Identity ,(s) Left inverse

(b) Semigroups -----------> (p) Associativity

(c) Monoids ----------------> (p) Associativity ,(q) Identity

(d) Abelian groups ------->  (p) Associativity ,(q) Identity ,(s) Left inverse,(r) Commutativity

1 comment

Bro, in question "match the pairs" is told. So, i think matching should be one-one. Please let me know if i am wrong.
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