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HK-Space and Separation axioms of Spectra of maximal Sub modules | ||
| journal of kerbala university | ||
| Article 1, Volume 11, Issue 0, 2015, Pages 32-38 PDF (0 K) | ||
| Authors | ||
| Habeeb Kareem Abdullah; Eman Yahya Habeeb | ||
| Abstract | ||
| The main purpose of this research, is to study the relationship between some the topological properties of the space Max(M) and the algebraic properties of an R-module M, and vice versa. We prove in this paper that if M is a multiplication R-module then M is semi local if and only if max(M) is an HK space. Also in our study we shall prove if M is a multiplication R-module and max(M) is an HK space then M is cyclic and we study Separation Axioms of the space maximal (M) which that we get the following results , If M is an M-top R-module and semi local then maximal (M) is T0 , T1 , T2 , T3 , T4 . | ||
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