Smarandache Semirings and Semifields

Authors: W. B. Vasantha Kandasamy

In this paper we study the notion of Smarandache semirings and semifields and obtain some interesting results about them. We show that not every semiring is a Smarandache semiring. We similarly prove that not every semifield is a Smarandache semifield. We give several examples to make the concept lucid. Further, we propose an open problem about the existence of Smarandache semiring S of finite order.

Comments: 4 pages.

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Submission history

[v1] 11 Mar 2010

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