We know that direct sum and direct product of divisible R-modules are divisible when R is a domain. Does there exist non-divisible modules with their product or sum being divisible? Or, if R is not a domain could one find an example of a divisible direct product or direct sum of divisible R-modules? Thanks to any one answering the question.
2026-04-04 13:48:00.1775310480
Divisible Direct Sum or Direct Product
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