On the structure of some rings and nearrings

• Autorzy: Khan M.
• Języki publikacji: EN

Słowa kluczowe

EN

decomposition theorems; J-rings; nil rings; periodic nearrings

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2001
• Tom: Vol. 34, nr 4
• Strony: 761--769
• Opis fizyczny: Bibliogr. 15 poz.

Twórcy

autor

Khan M.

• Department of Mathematics Faculty of Science, King Abdulaziz University P.O. Box 30356, Jeddah - 21477 Kingdom of Saudi Arabia

Bibliografia

• [1] H. E. Bell, Certain nearrings are rings, J. London Math. Soc. 4 (1971), 264-270.
• [2] H. E. Bell, A commutativity study for periodic rings, Pacific J. Math. 70 (1977), 29-36.
• [3] H. E. Bell, Centers for nearrings: applications to commutativity theorems, Proc. Edinburgh Math. Soc. 23 (1980), 61-67.
• [4] H. E. Bell, On commutativity of periodic rings and nearrings, Acta Math. Acad. Sei. Hungar. 36 (1980), 293-302.
• [5] H. E. Bell, On commutativity and structure of periodic rings, Math. J. Okayama Univ. 27 (1985), 1-3.
• [6] H. E. Bell and S. Ligh, Some decomposition theorems for periodic rings and near-rings, Math. J. Okayama Univ. 31 (1989), 93-99.
• [7] M. Chacron, On a theorem of Her stein, Canad. J. Math. 21 (1969), 1348-1353.
• [8] J. R. Clay, The nearrings on groups of low order, Math. Z. 104 (1968), 364-371.
• [9] N. Jacobson, Structure theory of algebraic algebras of bounded degree, Ann. of Math. 46 (1945), 695-707.
• [10] Moharram A. Khan, On structure of certain periodic rings and nearrings, Internat. J. Math. & Math. Sci. 24 (2000), 667-672.
• [11] Moharram A. Khan, Some conditions under which nearrings are rings, Demonstratio Math. 33 (2000), 255-260.
• [12] S. Ligh and J. Luh, Direct sum of J-rings and zero rings, Amer. Math. Monthly 96 (1989), 40-41.
• [13] G. Pilz, Nearrings, North Holland, 1983.
• [14] M. O. Searcôid and D. MacHale, Two elementary generalisations of Boolean rings, Amer. Math. Monthly 93 (1986), 121-122.
• [15] J. H. M. Wedderburn, A theorem on finite algebras, Trans. Amer. Math. Soc. 6 (1905), 349-352.