Class notes
Abstract Algebra Course Notes
- Course
- MATH4033 (MATH4033)
- Institution
- Arkansas Tech University
Lecture notes of 96 pages for the course MATH4033 at Arkansas Tech University (Entire course notes)
[Show more]
Seller
Follow
Content preview
8 21 Abstract alg StructureSets w some
operations
sets collection of
efforts
a
What is not
EA Y A
element set
Def A subset of a set A is a set whose
elements are all in A
IBIII
motto 1.2.3
4
faurealnumber.se
344
01
, aconscates cdidates
EI 1 0 empty set
2 IR Z M Kif matrix
iii Hilarion
cardinality
Property the number of elements
main focus
finite sets
Gintertesett Ignore for areas
Def AUB
Tionintersett TEA or EB union
AND XEA and XEB intersection
EX S a b c
T c die
SUT a b c d e
SAT c
,proof AUB BUA
AAB BMA
To prove A B
A C B XEA NEB A B
A B
BE A XEB XEA B CA
1 AUB BUA
PS XEAUB XEB or XEA XEA or XEB
EBUA
50
AUBEBUA
similarly
BUA AUB
50
AUB BUA
, 8 23
Ex
Prove AUB NC ANC U BAC
ANC U BAC
Proof want to show
AUB NC ANC U Bre
E AUB NC
XE AUB and EC
XE A or B and XEC
Now EA and C XE B and C
or
XE ANC U BNC
ANC ULBAC AUB NC
XeArc U BAC
XE A and C or e B and C
EC and XEA of XEB
ᵗA0B
I Au
Sets construct new sets
subset add restrictions
AUB AAB A
A B AND
Cartesian Prod
A B
_gfg
aeA beB
Lay
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller sedaliashumaker. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $10.49. You're not tied to anything after your purchase.
Can Stuvia be trusted?
4.6 stars on Google & Trustpilot (+1000 reviews)
53068 documents were sold in the last 30 days
Founded in 2010, the go-to place to buy study notes for 14 years now