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PRAJAPATI, ANAND SWAROOP. (1386). RESIDUAL OF IDEALS OF AN L-RING. نشریه علمی دانشگاه سیستان و بلوچستان, 4(2), 69-82. doi: 10.22111/ijfs.2007.378
ANAND SWAROOP PRAJAPATI. "RESIDUAL OF IDEALS OF AN L-RING". نشریه علمی دانشگاه سیستان و بلوچستان, 4, 2, 1386, 69-82. doi: 10.22111/ijfs.2007.378
PRAJAPATI, ANAND SWAROOP. (1386). 'RESIDUAL OF IDEALS OF AN L-RING', نشریه علمی دانشگاه سیستان و بلوچستان, 4(2), pp. 69-82. doi: 10.22111/ijfs.2007.378
PRAJAPATI, ANAND SWAROOP. RESIDUAL OF IDEALS OF AN L-RING. نشریه علمی دانشگاه سیستان و بلوچستان, 1386; 4(2): 69-82. doi: 10.22111/ijfs.2007.378

RESIDUAL OF IDEALS OF AN L-RING

Iranian Journal of Fuzzy Systems
مقاله 7، دوره 4، شماره 2، دی 2007، صفحه 69-82    اصل مقاله (230.93 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22111/ijfs.2007.378
نویسنده
ANAND SWAROOP PRAJAPATI
ATMA RAM SANATAN DHARMA COLLEGE, UNIVERSITY OF DELHI, DHAULA KUAN, NEW DELHI – 110021, INDIA
چکیده
The concept of right (left) quotient (or residual) of an ideal η by an
ideal ν of an L-subring μ of a ring R is introduced. The right (left) quotients are
shown to be ideals of μ . It is proved that the right quotient [η :r ν ] of an ideal
η by an ideal ν of an L-subring μ is the largest ideal of μ such that
[η :r ν ]ν ⊆ η . 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.
کلیدواژه‌ها
L-subring؛ L-ideal؛ Right quotient؛ Left quotient
مراجع
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