100% satisfaction guarantee Immediately available after payment Both online and in PDF No strings attached
logo-home
Previously searched by you
Previously searched by you
logo
MATH 425 Exam 3 Guaranteed A+ $9.99   Add to cart
Quickly navigate to
Preview
  2.  
  3. MATH 425 Exm 3 Guaranteed A+
  4.  
  5. MATH 425 Exm 3 Guaranteed A+

Exam (elaborations)

MATH 425 Exam 3 Guaranteed A+
 4 views  0 purchase
  • Course
  • MATH 425 Exm 3 Guaranteed A+
  • Institution
  • MATH 425 Exm 3 Guaranteed A+

MATH 425 Exam 3 Guaranteed A+ Group ️Closed, Associative, Identity, Inverse One-to-one ️If f(x)=f(y), then x=y Onto ️For any element in the codomain, there is an element in the domain that maps to it Homomorphism ️Function that satisfies the property ø(xy) = ø(x) ø(y) Isomorphi...

[Show more]

Preview 1 out of 2  pages

Document information

  • October 16, 2024
  • 2
  • 2024/2025
  • Exam (elaborations)
  • Questions & answers

Subjects

  • math 425 exam 3 guaranteed a

Written for

  • MATH 425 Exm 3 Guaranteed A+
  • MATH 425 Exm 3 Guaranteed A+

Seller

avatar-seller
CertifiedGrades

Reviews received

Content preview

MATH 425 Exam 3 Guaranteed A+

Group ✔️Closed, Associative, Identity, Inverse



One-to-one ✔️If f(x)=f(y), then x=y



Onto ✔️For any element in the codomain, there is an element in the domain that maps to it



Homomorphism ✔️Function that satisfies the property ø(xy) = ø(x) ø(y)



Isomorphism ✔️Homomorphism Property, One-to-one, Onto



Kernel ✔️Set of all elements in the domain that map to the identity in the codomain



Factor Group ✔️Let H be a normal subgroup of G. Then the cosets of H form a group G/H under the
binary operation (aH)(bH) = (ab)H. The group G/H is the factor or quotient group of G by H.



Ring ✔️Abelian group under +, associative under *, left distribution a(b+c) = ab + ac, and right
distribution (a + b)c = ac + bc



Commutative Ring ✔️Ring where multiplication is commutative



Ring with Unity ✔️Ring with a multiplicative identity



Unit ✔️An element in a ring that has a multiplicative inverse



Division Ring ✔️Ring where every nonzero element is a unit

The benefits of buying summaries with Stuvia:

Guaranteed quality through customer reviews

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

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

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 CertifiedGrades. Stuvia facilitates payment to the seller.

Will I be stuck with a subscription?

No, you only buy these notes for $9.99. You're not tied to anything after your purchase.

Can Stuvia be trusted?

4.6 stars on Google & Trustpilot (+1000 reviews)

79223 documents were sold in the last 30 days

Founded in 2010, the go-to place to buy study notes for 14 years now

Start selling
$9.99
  • (0)
  Add to cart