In this paper, we present the notion of perfect ideal of a seminearring S and prove that the kernel of a seminearring homomorphism is a perfect ideal. We show that the quotient structure S/I is isomorphic to the structure ST(I). Finally, we prove isomorphism theorems in seminearrings by using tame condition.
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory
- Geometry and Topology