SEPARATIVE IDEALS OF EXCHANGE RINGS

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CHEN H.

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Journal Paper

Paper Information

Journal: BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY Year:2010 | Volume:36 | Issue:2 Page(s): 19-34

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Information Journal Paper

Title

SEPARATIVE IDEALS OF EXCHANGE RINGS

Author(s)

CHEN H. | Issue Writer Certificate

Keywords

SEPARATIVE IDEAL

EXCHANGE RING

REGULARITY

Abstract

An ideal I of an EXCHANGE RING R is separative provided that for all A, B Î FP(I), 2A @= A Å B @ 2B implies that A @ B. We prove that I is separative if and only if so is the ideal of all (triangular) matrices over I. Further, we investigate diagonal reduction over such ideals. Comparability of modules over such ideals are studied as well.

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APA: Copy

CHEN, H.. (2010). SEPARATIVE IDEALS OF EXCHANGE RINGS. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 36(2), 19-34. SID. https://sid.ir/paper/579656/en

Vancouver: Copy

CHEN H.. SEPARATIVE IDEALS OF EXCHANGE RINGS. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY[Internet]. 2010;36(2):19-34. Available from: https://sid.ir/paper/579656/en

IEEE: Copy

H. CHEN, “SEPARATIVE IDEALS OF EXCHANGE RINGS,” BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, vol. 36, no. 2, pp. 19–34, 2010, [Online]. Available: https://sid.ir/paper/579656/en

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