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In this paper, we define Smarandache seminormal subgroupoids. We have proved some results for finding the Smarandache seminormal subgroupoids in Z(n) when nis even and n is odd.

In this paper we have constructed two chains of semifields. All semifieids in the chains are Smarandache semifields. Every member of the chain is an extension semifield of Ordered equilateral Integral triangles with Zero triangle such that it is a semivector space over RI.

In this paper we define two kinds of pseudo-Smarandache functions. We have investigated more than fifty terms of each pseudo-Smarandache function. We have provedsome interesting results and properties of these functions

Let G be a finite group having a proper normal subgroup K such that the conjugacy classes outside K coincide with the cosets of K. The subgroup K turns out to be the derived subgroup of G, so the group G is either abelian or Camina. Hence, we propose to classify Camina groups according to the number of conjugacy classes contained in the derived subgroup. We give the complete characterization of Camina groups when the derived subgroup is made up of two or three conjugacy classes, showing that such groups are all Frobenius or extra-special.