Decide whether the indicated operations of addition and multiplication are defined (closed) on the set, and give
Question:
Decide whether the indicated operations of addition and multiplication are defined (closed) on the set, and give a ring structure. If a ring is not formed, tell why this is the case. If a ring is formed, state whether the ring is commutative, whether it has unity, and whether it is a field.
{a + b √2| a, b ∈ (Q} with the usual addition and multiplication
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 81% (16 reviews)
Yes a b 2 a b Q is a com...View the full answer
Answered By
Benish Ahmad
I'm a professional software engineer. I'm lectutrer at GCUF and I have 3 years of teaching experience. I'm looking forward to getting mostly computer science work including:
Programming fundamentals
Object oriented programming
Data structures
object oriented design and analysis
Database system
Computer networks
Discrete mathematics
Web application
I am expert in different computer languages such as C++, java, JavaScript, Sql, CSS, Python and C#. I'm also have excellent knowledge of essay writing and research. I have worked in other Freelancing website such as Fiverr and Upwork. Now I have finally decided to join the SolutionInn platform to continue with my explicit work of helping dear clients and students to achieve their academic dreams. I deliver plagiarism free work and exceptional projects on time. I am capable of working under high pressure.
5.00+
2+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
Decide whether the indicated operations of addition and multiplication are defined (closed) on the set, and give a ring structure. If a ring is not formed, tell why this is the case. If a ring is...
-
Decide whether the indicated operations of addition and multiplication are defined (closed) on the set, and give a ring structure. If a ring is not formed, tell why this is the case. If a ring is...
-
Decide whether the indicated operations of addition and multiplication are defined (closed) on the set, and give a ring structure. If a ring is not formed, tell why this is the case. If a ring is...
-
1. Can you explain why business majors apparently study less, on average, than students in other majors? 2. Can you explain why business students writing and reasoning skills apparently increase less...
-
Blood types: Human blood may contain either or both of two antigens, A and b. Blood that contains only the A antigen is called type A, blood that contains only the B antigen is called type B, blood...
-
British Beverages bottles two soft drinks under licence to Cadbury Schweppes at its Manchester plant. Bottling at this plant is a highly repetitive, automated process. Empty bottles are removed from...
-
Explain the factors to be kept in mind while determining overhead variance.
-
A survey asked chief executives at leading U.S. firms the following question: Where do you expect the U.S. economy to be 12 months from now? A representative sample of their responses appears below:...
-
Sunset Heights Animal Rescue & Protection Society (ANIPAL) is a non-profit organization dedicated to the rescue and protection of domestic animals. It operates several animal shelters in the Sunset...
-
Two homogeneous dielectric regions 1 (p < 4 cm) and 2 (p > 4 cm) have dielectric constants 3.5 and 1.5, respectively. If D2 = 12ap - 6a0 + 9az nC/m2, calculate: (a) E1 and D1, (b) P2 and ppv2, (c)...
-
Find all zeros in the indicated finite field of the given polynomial with coefficients in that field. x 2 + 1 in Z 2
-
Let R be a commutative ring with unity of characteristic 3. Compute and simplify (a + b ) 9 for a, b R.
-
Solve the equation. Give solutions in exact form. ln 5x = 16
-
What are major initiatives would you expect to see in a strategic plan focusing on a public health organization?
-
The purchase of \(\$ 500\) of supplies on account will: a. Increase both assets and stockholders' equity by \(\$ 500\) b. Increase assets and decrease liabilities by \(\$ 500\) c. Increase assets and...
-
Venus Company owned a service truck that was purchased at the beginning of 2011 for \(\$ 20,000\). It had an estimated life of three years and an estimated salvage value of \(\$ 2,000\). Venus uses...
-
You are observing the sales department staff using exponential smoothing to fore- cast monthly sales. Their forecast for January's sales was 12,000 units. January's actual sales figure became...
-
Use the ID3 algorithm to build the full decision tree for the data set given in Section 10.9.2. 10.9.2 Example We will start with the training data given below: Film Country of origin Big star Genre...
-
Fill in the blank with an appropriate word, phrase, or symbol(s). When a population is divided into parts, called strata, for the purpose of drawing a sample, the procedure is known as ____________...
-
Maria Castigliani is head of the purchasing department of Ambrosiana Merceti, a medium-sized construction company. One morning she walked into the office and said, The main problem in this office is...
-
Do educated people work longer or shorter hours than do less-educated individuals? Conduct a test to determine whether there is enough evidence to conclude that differences exist in the number of...
-
Should government reduce income differences between rich and poor EQWLTH: 1 = Government should reduce differences; 2, 3, 4, 5, 6, 7 = No government action)?
-
Should government improve standard of living of poor people (HELPPOOR: 1 = Government act; 2, 3, 4, 5 = People should help themselves)?
-
Arnold inc. is considering a proposal to manufacture high end protein bars used as food supplements by body builders. The project requires an upfront investment into equipment of $1.4 million. This...
-
Billy Bob bank has three assets. It has $83 million invested in consumer loans with a 3-year duration, $46 million invested in T-Bonds with a 12-year duration, and $69 million in 6-month (0.5 years)...
-
Ventaz Corp manufactures small windows for back yard sheds. Historically, its demand has ranged from 30 to 50 windows per day with an average of 4646. Alex is one of the production workers and he...
Study smarter with the SolutionInn App