Smarandache Idempotents in finite ring Zn and in Group Ring ZnG
نویسنده
چکیده
In this paper we analyze and study the Smarandache idempotents (S-idempotents) in the ring Zn and in the group ring ZnG of a finite group G over the finite ring Zn. We have shown the existance of Smarandache idempotents (S-idempotents) in the ring Zn when n = 2 p (or 3p), where p is a prime > 2 (or p a prime > 3). Also we have shown the existance of Smarandache idempotents (S-idempotents) in the group ring Z2G and Z2Sn where n = 2 p (p a prime of the form 2t + 1).
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