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On certain generalized prime ideals in boolean like semiring of fractions | ||
| Journal of Hyperstructures | ||
| دوره 3، شماره 1، شهریور 2014، صفحه 18-26 اصل مقاله (305.65 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22098/jhs.2014.2570 | ||
| نویسندگان | ||
| K. H. Demissie* ؛ B. B. Belayneh؛ K. Venkateswarlu | ||
| Department of Mathematics, Addis Ababa University, P.O.Box 1176, Addis Ababa, Ethiopia | ||
| چکیده | ||
| In this paper, we introduce the notions of semiprime ideals, 2-potent prime ideals, weakly prime ideals and weakly primary ideals in a Boolean like semiring of fractions. Further, we obtain various results concerning the notions. | ||
| کلیدواژهها | ||
| Prime؛ primary؛ weakly primary؛ ideals؛ Boolean like semirings | ||
| مراجع | ||
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[1] B. V. N. Murthy and K. Venkateswarlu, Contraction of ideals in Boolean like semirings, International Journal of Mathematical Archive, 3 (4) (2012), 1324–1328. [2] A. L. Foster, The theory of Boolean like rings, Trans. Amer. Math. Soc., 59 (1946), 166–187. [3] G. Pilz, Near-Rings, The theory and its Applications, (North-Holland) 1983. [4] K. Hailu, B. B. Belayneh, Z. Teshome and K. Venkateswarl, Boolean like semiring of fractions, International Journal of Mathematical Archive, 3(4) (2012), 1554–1560. [5] K. H. Demissie, B. B. Belayneh and K. Venkateswarlu, Certain special classes of ideals in Boolean like semiring of fractions, International Journal of Mathemat-ical Archive, 3(8) (2012), 3178–3183. [6] K. Venkateswarlu, B. V. N. Murthy and N. Amaranth, Boolean like semirings, Int. J. Contemp. Math. Sciences, 6(13) (2011), 619–635. [7] K. Venkateswarlu and B. V. N. Murthy, Primary ideals in a Boolean like semir-ings, Int. J. Contemp. Math. Sciences, 6 (28)(2011), 1367–1377. [8] K. Venkateswarlu and B. V. N. Murthy, Semiprime ideals and annihilators in Boolean like semirings, International Journal of Algebra, 5 (28) (2011), 1363–1370. [9] Y. Y. Tessema, B. B. Belayneh and K. Venkateswarlu, On certain kinds of char-acterizations of almost primary ideals in BLSR, International Journal of Math-ematical Archive, 4 (2) (2013), 202–207. | ||
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