Abstract Algebra Answers

Is Z2 ⊕ Z3 ⊕ Z5 ⊕• • • semisimple Z-module?

Is Z2 × Z2 × Z2 ו • • semisimple Z-module?

Is Z12 semisimple Z-module?

Is Z_6 semisimple Z-module?

Is Z_4 semisimple Z-module?

Is Q/Z semisimple Z-module?

Is Q semisimple Z-module?

Is Z semisimple Z-module?

Let {F_i : i ∈ I} be a family of fields. Show that the direct product R =(direct product)F_i is a semisimple ring iff the indexing set I is finite.

Can any ring be embedded as a subring of a left semisimple ring?