• JUDGMENT OF FINITE CODIMENSIONAL IDEALS IN En AND CALCULATION OF THEIR COMPLEMENTARY SPACES

QIAN TONG*, JUNFEI CAO

Abstract


The study first judged whether an ideal in is finite codimensional by utilizing some relevant conclusions acquired from several propositions of the necessary and sufficient conditions for -equivalence. Then, the calculation of a basis set of the complementary space of finite codimensional ideals in was studied using certain algebraic knowledge, and the examples were provided.


Keywords


Ring of Germs of Real Functions ; Finite Codimensional Ideals; Complementary Space

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