On various quasi ideals in b-semirings
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DOI:
https://doi.org/10.26637/MJM0801/0004Abstract
We introduce six types of quasi ideals in b-semirings. Each quasi ideals generated by single element(set) is established. We characterize various 1-regular(2-regular, regular) by using generalized 1-quasi (generalized 2-quasi, generalized quasi) ideal, 1-quasi (2-quasi, quasi) ideal, weak1(2)-right(left) ideal and weak1(2)-ideal. Examples are provided to strengthen our results.
Keywords:
1-quasi ideal, 2-quasi ideal, generalized 1-quasi ideal, generalized 2-quasi idealMathematics Subject Classification:
Mathematics- Pages: 20-27
- Date Published: 01-01-2020
- Vol. 8 No. 01 (2020): Malaya Journal of Matematik (MJM)
G. Mohanraj, M.Palanikumar, Characterization of regular b-semirings, Mathematical Sciences International Research Journal, 7(2018), 117-123.
G.Mohanraj, M.Palanikumar, Characterization of Various $mathrm{k}$-Regular in b-Semirings, AIP Conference Proceedings, 2112(2019), 020021-1-020021-6.
G.Mohanraj, M.Palanikumar, On various classes of one sided ideals in b-semirings, Submitted.
RonnasonChinram, An introduction to b-semirings, Int. J. Contemp. Math. Science, 4(13)(2009), 649-657.
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