Algebra/Chapter 27/Exercises: Revision history

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1 January 2025

  • curprev 00:1800:18, 1 January 2025 imported>GoreyCat 531 bytes +531 Created page with "==Conceptual Questions== ==Exercises== ===Section 27.1=== ===Section 27.2=== '''<u>27.1</u>''' Assume that <nowiki>*</nowiki> is a binary operation on the set S. Prove the following statements. ===Section 27.3=== '''<u>27.2</u>''' Let <math>G</math> be a group. Prove that the identity element <math>e \in G</math> is unique. Also prove that every element <math>x \in G</math> has a unique inverse, indicated by <math>x^{-1}</math>. ===Section 27.4=== ===Section 27.5=== =..."