Let : R s be a homomorphism of rings such that (r) 0 for some
Question:
Let ∫: R → s be a homomorphism of rings such that ∫(r) ≠ 0 for some nonzero r ϵ R. If R has an identity and S has no zero divisors, then S is a ring with identity ∫(1R). Terminology due to V. 0. McBrien.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 55% (9 reviews)
This question seems to be a statement and not a question The statement is related to ring theory whi...View the full answer
Answered By
Churchil Mino
I have been a tutor for 2 years and have experience working with students of all ages and abilities. I am comfortable working with students one-on-one or in small groups, and am able to adapt my teaching style to meet the needs of each individual. I am patient and supportive, and my goal is to help my students succeed.
I have a strong background in math and science, and have tutored students in these subjects at all levels, from elementary school to college. I have also helped students prepare for standardized tests such as the SAT and ACT. In addition to academic tutoring, I have also worked as a swim coach and a camp counselor, and have experience working with children with special needs.
0.00
0 Reviews
10+ Question Solved
Related Book For
Algebra Graduate Texts In Mathematics 73
ISBN: 9780387905181
8th Edition
Authors: Thomas W. Hungerford
Question Posted:
Students also viewed these Mathematics questions
-
Let : R S be an epimorphism of rings with kernel K. (a) If P is a prime ideal in R that contains K, then f(P) is a prime ideal in S [see Exercise 13]. (b) If Q is a prime ideal in S, then -1 ( Q)...
-
(a) Give an example of a nonzero homomorphism : R S of rings with identity such that (1 R ) 1 s . (b) If : R S is an epimorphism of rings with identity, then (1 R ) = 1 s . (c) If : R S is a...
-
(a) If : R S is a homomorphism of rings, then the map : R[[x]] S[[x]] given by is a homomorphism of rings such that (R[x]) S[x]. (b) is a monomorphism [epimorphism] if and only if is. In this...
-
What are the side effects of the drugs that are used for treatment of Multiple Sclerosis attacks? Are cataracts a result of steroid use? Is osteoporosis a complication of Multiple Sclerosis?
-
Draw graphs showing recessionary and inflationary gaps and explain how these gaps emerge.
-
Indicate whether the following actions would (+) increase, (-) decrease, or (0) not affect Indigo Inc.'s total assets, liabilities, and stockholders' equity: Stockholders' Equity Assets Liabilities...
-
For each of the following questions appearing on an internal accounting control questionnaire, assume that a "No" answer is given: 1. Is there separation of duties between the journalizing of...
-
Lanier Company manufactures expensive watch cases sold as souvenirs. Three of its sales departments are: Retail Sales, Wholesale Sales, and Outlet Sales. The Retail Sales Department is a profit...
-
During 2024, LeBron Corporation accepts the following notes receivable. 1. On April 1, LeBron provides services to a customer on account. The customer signs a four-month, 9% note for $5,600. 2. On...
-
Their 1.5 inch, 90-degree copper elbow (see below) is a very popular item in the plumbing line that comes packaged in 10 elbows per box. The box costs about $65 to Western, and Western sells it at...
-
(a) If R is a ring. then so is R op . where R o p is defined as follows. The underlying set of R op is precisely Rand addition in R o p coincides with addition in R. Multiplication in R op , denoted...
-
Let = a n x n + + a 0 be a polynomial over the field R of real numbers and Jet = |a n |x n + + |a o | R[x]. (a) If |u| d, then |f(u)| (d). [Recall that |a + b| |a| + |b| and that |a| a',...
-
If an oil-filled manometer can be read to A 0.05 mm, what is the smallest pressure change that can be detected?
-
Zimt AG uses the FIFO method, and Nutmeg Inc. uses the LIFO method. Compared to the cost of replacing the inventory, during periods of rising prices, the cost of sales reported by: A. Zimt is too...
-
Debt covenants are least likely to place restrictions on the issuers ability to: A. pay dividends. B. issue additional debt. C. issue additional equity.
-
Which of the following amortization methods is most likely to evenly distribute the cost of an intangible asset over its useful life? A. Straight-line method B. Units-of-production method C....
-
MARU S.A. de C.V., a Mexican corporation that follows IFRS, has elected to use the revaluation model for its property, plant, and equipment. One of MARUs machines was purchased for 2,500,000 Mexican...
-
Fairmont Golf issued fixed rate debt when interest rates were 6 percent. Rates have since risen to 7 percent. Using only the carrying amount (based on historical cost) reported on the balance sheet...
-
HgO decomposes when exposed to heat: 2HgO(s) ( 2Hg() + O2(g)H = 181.6 kJ What mass of O2 can be made with 100.0 kJ?
-
Describe a group you belong or have belonged discuss the stages of group development and suggest how to improve the group effectiveness by using the group development model.
-
Comment on the comparison between the observed incidence rate and the Connecticut tumor registry data? A comparison was made between the Michigan report and the 1969 cancer-incidence rates from the...
-
Assuming the distribution of concentrations in the log scale to the base 2 is normal, obtain the best estimate of the variance of the concentrations from these data? Obstetrics, Serology A new assay...
-
Compute a 95% CI for the variance of the concentrations? Obstetrics, Serology A new assay is developed to obtain the concentration of M. hominis mycoplasma in the serum of pregnant women. The...
-
Describe the concept of benchmarking as a tool that supports accountability in grant writing. How does the award of a grant contribute to accountability in performance-based management?
-
Discuss the various data replication strategies in distributed databases. How do consistency models like eventual consistency, strong consistency, and causal consistency affect application...
-
Should we ban or advance the usage of Artificial Intelligence (AI) in the Creative Industry (drawing, voice, script writing, etc)? If there is a middle ground, how should this look like? Please use...
Study smarter with the SolutionInn App