Q4) Draw the lattice of the Z-module this module. and then determine direct summand of 30Z Q5) Show that: (1) Any subset of Qz has more than one element is not free. (2)Qz has no minimal and no maximal submodules. (3) Let a A B and B B Boa is an epimorphism C be homomorphisms. Then, we have ẞ is an epimorphism.

Q4) Draw the lattice of the Z-module this module. and then determine direct summand of 30Z Q5) Show that: (1) Any subset of Qz has more than one element is not free. (2)Qz has no minimal and no maximal submodules. (3) Let a A B and B B Boa is an epimorphism C be homomorphisms. Then, we have ẞ is an epimorphism.

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter4: More On Groups

Section4.7: Direct Sums (optional)

Problem 7E: Write 20 as the direct sum of two of its nontrivial subgroups.

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