RESIDUAL OF IDEALS OF AN L-RING

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PRAJAPATI A.S.

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Journal: Iranian Journal of Fuzzy Systems Year:2007 | Volume:4 | Issue:2 Page(s): 69-82

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Information Journal Paper

Title

RESIDUAL OF IDEALS OF AN L-RING

Author(s)

PRAJAPATI A.S. | Issue Writer Certificate

Keywords

L-SUBRINGQ2

L-IDEALQ2

RIGHT QUOTIENTQ2

LEFT QUOTIENTQ2

Abstract

The concept of right (left) quotient (or residual) of an ideal h by an ideal v of an L-SUBRING m of a ring R is introduced. The right (left) quotients are shown to be ideals of m. It is proved that the RIGHT QUOTIENT [h:r v] of an ideal of h by an ideal v of an L-SUBRING m is the largest ideal of m such that [h:r v]v Íh. Most of the results pertaining to the notion of quotients (or residual) of an ideal of ordinary rings are extended to L-IDEAL theory of L-SUBRINGs.

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References

LATTICE OF SUBALGEBRAS IN THE CATEGORY OF FUZZY GROUPS

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APA: Copy

PRAJAPATI, A.S.. (2007). RESIDUAL OF IDEALS OF AN L-RING. IRANIAN JOURNAL OF FUZZY SYSTEMS, 4(2), 69-82. SID. https://sid.ir/paper/113342/en

Vancouver: Copy

PRAJAPATI A.S.. RESIDUAL OF IDEALS OF AN L-RING. IRANIAN JOURNAL OF FUZZY SYSTEMS[Internet]. 2007;4(2):69-82. Available from: https://sid.ir/paper/113342/en

IEEE: Copy

A.S. PRAJAPATI, “RESIDUAL OF IDEALS OF AN L-RING,” IRANIAN JOURNAL OF FUZZY SYSTEMS, vol. 4, no. 2, pp. 69–82, 2007, [Online]. Available: https://sid.ir/paper/113342/en

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