We present a new and simpler proof of a combinatorial nature for the commutative case of Wood’s theorem which states that a finite ring has a generating character if and only if it is a Frobenius ring.
机构:
Department of Electronics and Computer Science, Meisei University, 2-590, Nagabuti, Ome, Tokyo 198-8655, JapanDepartment of Electronics and Computer Science, Meisei University, 2-590, Nagabuti, Ome, Tokyo 198-8655, Japan
Mizuno, Hirobumi
Sato, Iwao
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Oyama National College of Technology, Oyama, Tochigi 323-0806, JapanDepartment of Electronics and Computer Science, Meisei University, 2-590, Nagabuti, Ome, Tokyo 198-8655, Japan