• Corpus ID: 235731754

Common properties of some function rings on a topological space

@inproceedings{Zand2021CommonPO,
  title={Common properties of some function rings on a topological space},
  author={Mohammad Reza Ahmadi Zand},
  year={2021}
}
For a nonempty topological space X, the ring of all real-valued functions on X with pointwise addition and multiplication is denoted by F (X) and continuous members of F (X) is denoted by C(X). Let A(X) be a subring of F (X) and B be a non-zero and nonempty subset of A(X). Then we show that there are a subset S of X and a ring homomorphism φ : A(X) → A(S) such that kerφ = Ann(B). A lattice ordered subring A(X) of F (X) is called P -convex if every prime ideal of A(X) is an absolutely convex… 

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