Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. algebra
  3. 2 determine if each of the following is a group a

2 Determine if each of the following is a group a monoid that is not...

50.1K

Verified Solution

Question

Algebra

image

2 Determine if each of the following is a group a monoid that is not a group a semigroup that is not a monoid or not a semigroup Explain your answer for each one Z addition on the set of positive integers It farms bernise a group It satisfies closure associativity identity element and every element has an inverse ii Q subtraction on the set of rational numbers This is not a semigroup because the set of rational numbers under subtration isn t closed under subtraction iii C32 addition on a 32 hour clock It satisfies Closure associativity identity element and every element has an in verse It forms a group iv C15 0 multiplication on a 15 hour clock with 0 removed This doesn t form a group or monoid Not element has an inverse every v 0 0 1 0 1 U the set is P 0 1 and the operation is union a semigroup but not a monoid This is on the power set of 0 1 forms a sem igroup The set is closed under the union operation which is associative It doesn t have an identity element so it s not a mencid vi 0 1 2 where x y y for example 0 2 2

Answer & Explanation Solved by verified expert
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Zin AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Q

Some students in a biology class compared how many times they went to the park...

Algebra
Q

please don't answer unless you can do all parts, circle answer and show work please part 1) A...

Advance Math
Q

Why was the development of Prozac considered to be a seminal moment in the history of...

Psychology
Q

Nolan has a bond with a 6 1 yield a bid price of 475 and...

Geometry
Q

The following data represents the amount of medication still in someone's system after specific amounts...

Basic Math
Q

Determine whether the series is convergent or divergent k 1 k K 4k 7 O...

Calculus
Q

XYZ Company purchased a new machine on January 1, 2020 for $160,000. The machine was...

Accounting
Q

Exercise 12-4(Algo) Indirect: Cash flows from operating activities LO P2 The...

Accounting
Q

Problem 3-7A Adjusting entries (monthly) LO4 Wedona Energy Consultants prepares adjusting entries monthly. Based on...

Accounting
Q

Which is not true of the Sustainability Accounting Standards Board (SASB)? A Its counterpart in...

Accounting
Q

The standard cost of Product B manufactured by Sandhill Company includes 3.6 units of direct...

Accounting
Q

David & Sons Company is experiencing a decline in market share percentage. The company may...

Accounting