Master of Science
Gary B. Laison
We begin by defining the notion of subdirect sum and some related concepts after which we state and prove two theorems which are fundamental in the theory. These theorems give necessary and sufficient conditions for an arbitrary ring to have a representation as a subdirect sum of a set of rings.
McNells, R. J., "Subdirect sums of rings" (1964). Theses and Dissertations. 3213.