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Paper Information

Journal:   IRANIAN JOURNAL OF FUZZY SYSTEMS   OCTOBER 2007 , Volume 4 , Number 2; Page(s) 69 To 82.
 
Paper: 

RESIDUAL OF IDEALS OF AN L-RING

 
 
Author(s):  PRAJAPATI A.S.*
 
* ATMA RAM SANATAN DHARMA COLLEGE, UNIVERSITY OF DEHLHI, DHAULA KUAN, NEW DEHLHI-110021, INDIA
 
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.
 
Keyword(s): L-SUBRING, L-IDEAL, RIGHT QUOTIENT, LEFT QUOTIENT
 
 
References: 
 
Click to Cite.
APA: Copy

PRAJAPATI, A. (2007). RESIDUAL OF IDEALS OF AN L-RING. IRANIAN JOURNAL OF FUZZY SYSTEMS, 4(2), 69-82. https://www.sid.ir/en/journal/ViewPaper.aspx?id=101983



Vancouver: Copy

PRAJAPATI A.S.. RESIDUAL OF IDEALS OF AN L-RING. IRANIAN JOURNAL OF FUZZY SYSTEMS. 2007 [cited 2021May08];4(2):69-82. Available from: https://www.sid.ir/en/journal/ViewPaper.aspx?id=101983



IEEE: Copy

PRAJAPATI, A., 2007. RESIDUAL OF IDEALS OF AN L-RING. IRANIAN JOURNAL OF FUZZY SYSTEMS, [online] 4(2), pp.69-82. Available: https://www.sid.ir/en/journal/ViewPaper.aspx?id=101983.



 
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