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SM ISO690:2012 SAHOO, Tapatee, KUNCHAM, Syam Prasad, KEDUKODI, Babushri Srinivas, PANACKAL, Harikrishnan. Generalized essential ideals in R-groups. In: Quasigroups and Related Systems, 2024, vol. 32, nr. 1, pp. 119-128. ISSN 1561-2848. DOI: https://doi.org/10.56415/qrs.v32.10 |
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Quasigroups and Related Systems | ||||||
Volumul 32, Numărul 1 / 2024 / ISSN 1561-2848 | ||||||
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DOI:https://doi.org/10.56415/qrs.v32.10 | ||||||
CZU: 512.543 | ||||||
MSC 2010: 16Y30 | ||||||
Pag. 119-128 | ||||||
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Rezumat | ||||||
In this paper, we consider an R-group where R is a zero-symmetric right nearring. We define generalized essential ideal of an R-group and prove several properties. Further, we extend this notion to obtain a one-one correspondence between s-essential ideals of R-group and those of Mn(R)-group Rn. |
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Cuvinte-cheie Nearring, essential ideal, uniform ideal, finite dimension |
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