(a) Every nonzero homomorphic image and every nonzero submodule of a semi simple module is semi simple....
Question:
(a) Every nonzero homomorphic image and every nonzero submodule of a semi simple module is semi simple.
(b) The intersection of two semi simple submodules is 0 or semi simple.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 57% (7 reviews)
Statement a is true and statement b is not necessarily true a Every nonzero homomorphic image and ev...View the full answer
Answered By
Aketch Cindy Sunday
I am a certified tutor with over two years of experience tutoring . I have a passion for helping students learn and grow, and I firmly believe that every student has the potential to be successful. I have a wide range of experience working with students of all ages and abilities, and I am confident that I can help students succeed in school.
I have experience working with students who have a wide range of abilities. I have also worked with gifted and talented students, and I am familiar with a variety of enrichment and acceleration strategies.
I am a patient and supportive tutor who is dedicated to helping my students reach their full potential. Thank you for your time and consideration.
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
-
Proof that Every nonzero homomorphic image of a local ring is local.
-
(a) The homomorphic image of a semi simple ring need not be semi simple. (b) If : R S is a ring epimorphism, then f(J(R}) J(S).
-
Use functions and submodules as appropriate to allow a user to create an interesting display of text. The user should enter a string of text and a character or characters to use as a border. The main...
-
XY is a pharmaceutical company with the head-quarter in the United States. However, its cash flow depends only on sales in Japan. It receives a cash flow of Yen 20 billion with certainty in t=1. The...
-
Kellner Company is a pesticide manufacturer. Its sales declined greatly this year due to the passage of legislation outlawing the sale of several of Kellners chemical pesticides. In the coming year,...
-
The linear transformation T: R3 R2 is defined by Where a. Determine the vectors in R3 that maps to the zero vector in R2. b. Find the vectors in R3 that T maps to [I, I] in R2. c. Describe the image...
-
An investment bank offers a derivative whose payoff at maturity T is given by S 2 T , where ST is the price of the underlying asset, a non-dividendpaying stock share with a price following a GBM....
-
Clark, Inc., issued $50,000 of 10-year, 9% bonds payable on January 1, 2012. Clark pays interest each January 1 and July 1 and amortizes discount or premium by the straight-line method. The company...
-
At inception, a $500,000 client portfolio was invested as follows: 10% cash; 40% bonds; 50% stocks. At year-end, the portfolio held $100,000 in cash; $300,000 in equities; and $200,000 in bonds. What...
-
If A and B are left Artinian algebras over a field K, then A K B need not be left Artinian. Let A be a division algebra with center K and maximal subfield B such that dim B A is infinite.
-
An isolated system consists of two blocks made of the same substance (Fig. 3.9). The internal energies of blocks 1 and 2 are U 1 = C 1 T 1 and U 2 = C 2 T 2 where C 1 and C 2 are two positive...
-
What is M&M Proposition 1? M&M Proposition 2?
-
Assignments Assignment 02 imagine a scenario in which a Bank is responsible to make sure the security of the customer data. Considering the scenario, define the following in your own words. Use...
-
Summary of survey sample results (i.e., a shorter yet concise version of the results presented in writing). a two-page analysis of the sample survey's key findings (i.e., what does this survey's...
-
a. In light of the recent superannuation changes, from 1 July 2022, you manager has asked you to establish a step-by-step process to regularly review sources of information on taxation systems to...
-
Describe the difficulties that could be encountered when developing an AIS.Give reference.
-
What is the Project Deliverables/Outcomes of food festival? Give an explanation of the outcomes of your festival - What to expect from the festival? Describe and outline the main food festival...
-
Suppose P(A) = .4, P(B) = .7 and P(A B) = .3 . Find the following probabilities: a. P(Bc) b. P(Ac) c. P(A ( B2)
-
Provide a draft/outline of legal research involving an indigenous Canadian woman charged with assault causing bodily harm under (Sec 267b) of the Criminal Code, where the crown wants a 12-month jail...
-
It was found that among 626 Australian H1N1 patients admitted to an intensive care unit (ICU), 61 were aboriginal. If 2.5% of Australians are aboriginal, test the hypothesis that the percentage of...
-
Assess whether the time to legal blindness is the same or different between the RHO group and the RPGR group. For simplicity, assume that legal blindness in a particular eye is an absorbing state...
-
Answer the question posed in Problem 14.69, while accounting for possible age and gender differences between groups? FIELD.DOC Column _________________________________________ Variable 16...
-
Sarah, Tim and Joe are in partnership. Adjusted profits for the year to 31 May 2023 are 300,000. Up to 31 October 2022, the partners share profits 35:30:35 after charging a salary for Tim of 12,000...
-
Weighted Average Method, Unit Cost, Valuation of Goods Transferred Out and Ending Work in Process Holmes Products, Inc., produces plastic cases used for video cameras. The product passes through...
-
Ruth, Reg and Roger are in partnership sharing profits 32:38:30, after crediting Roger with a salary of 3,000. Roger retired on 31 December 2021 and profits are shared equally between Ruth and Reg...
Study smarter with the SolutionInn App