I am reading Dale. Husemoller's Fiber Bundles where he defines graded modules over a graded algebra as follows.
Next, he talks about irreducible graded modules in the lines given below.
Now, I don't get it, How can an Irreducible graded Module be defined as it should not have any submodules. But graded implies the existence of $M^0 , M^1$.
I think I may have misinterpreted something. Kindly help!.
regards