Identity Element: a- = a Property Explained

  • Context: Undergrad 
  • Thread starter Thread starter Gear300
  • Start date Start date
  • Tags Tags
    Element Identity
Join the discussion
Registration is free. Ask a follow-up in this thread, or start your own.
Sign up Log in
2 replies · 2K views
Gear300
Messages
1,212
Reaction score
10
Is the following property exclusive to the identity elements: a- = a (inverse of a = a)?
 

Discussion

Mathematics news on Phys.org
Nope. For example in Z2, the integers mod 2, you have two elements 0 and 1, and 1+1=0, so 1=-1
 
I see. Thanks for the reply.
 

Similar threads

Graduate Angle as Vector: Vector Addition Property Explained

  • <sHoRtFuSe>
  • · Replies 1 ·
  • General Math
Replies
1

Undergrad Is Infinity the Identity Element in Some Operations?

  • Ontophobe
  • · Replies 4 ·
  • General Math
Replies
4

Is the Direct Product of Groups Associative and Have an Identity Element?

  • joelkato1605
  • · Replies 2 ·
  • Calculus and Beyond Homework Help
Replies
2

Group Table: Understanding the Identity Element and Avoiding Repeated Values

  • joelkato1605
  • · Replies 6 ·
  • Calculus and Beyond Homework Help
Replies
6

High School What is the identity element in the group {2,4,6,8} under multiplication mod 10?

  • LCSphysicist
  • · Replies 9 ·
  • Linear and Abstract Algebra
Replies
9

Graduate Why is temperature intensive if it depends on amount of matter through pressure?

  • Esfand Yar Ali
  • · Replies 17 ·
  • Thermodynamics
Replies
17

Graduate What is the Exponential Inverse for Identity Element 1?

  • JKaufinger
  • · Replies 6 ·
  • General Math
Replies
6

Uniqueness of identity element of addition

  • supermiedos
  • · Replies 8 ·
  • Calculus and Beyond Homework Help
Replies
8

Undergrad Can a One-Sided Identity Element in Groups Lead to Two-Sided Identity?

  • HyperActive
  • · Replies 5 ·
  • Linear and Abstract Algebra
Replies
5

Graduate Conceptual questions on proving identity element of a group is unique

  • &quot;Don&#039;t panic!&quot;
  • · Replies 6 ·
  • Set Theory, Logic, Probability, Statistics
Replies
6