A finite division ring (a ring where every nonzero element has a multiplicative inverse) is necessarily commutative, making it a field. This is due to Wedderburn's Little Theorem. Conversely, every field is a division ring. Since a finite field has no zero-divisors, the statement "R has no zero-divisors" is also true.
Let R be an integral domain. Which of the following statement is not true about R?
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Question context
This question is part of 🧩 Logical Reasoning within the broader 🧠 Aptitude Mastery subject and appears in the SPSC – Sindh Public Service Commission preparation collection. Reviewing the answer together with nearby questions helps reinforce the underlying concept and identify how it may appear in competitive exams.