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In the present paper, we expand the domain of work on the concept of semiderivations in $3$-prime near-rings through the study of structure and commutativity of near-rings admitting semiderivations satisfying certain differential identities. Moreover, several examples have been provided at places which show that the assumptions in the hypotheses of various theorems are not altogether superfluous.
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참고문헌 (8)
참고문헌 신청
M. Ashraf / 2014 / On derivations and commutativity in prime near-rings / J. Taibah Univ. Sci 8:301~306
M. Ashraf / 2008 / On (σ,τ)-derivations of prime near-rings-II / Sarajevo J. Math 4(1):23~30
H. E. Bell / 1997 / On derivations in near-rings. II, Nearrings, nearfields and K-loops (Hamburg, 1995) / Math. Appl 426:1910~1197
H. E. Bell / 2015 / Semigroup ideals and commutativity in 3-prime near rings / Comm. Algebra 43(5):1757~1770
H. E. Bell / 1987 / North-Holland Math. Stud., 137 / North-Holland
M. Ashraf / 2008 / On (σ,τ)-derivations of prime near-rings-II / Sarajevo J. Math 4(1):23~30
H. E. Bell / 1997 / On derivations in near-rings. II, Nearrings, nearfields and K-loops (Hamburg, 1995) / Math. Appl 426:1910~1197
H. E. Bell / 2015 / Semigroup ideals and commutativity in 3-prime near rings / Comm. Algebra 43(5):1757~1770
H. E. Bell / 1987 / North-Holland Math. Stud., 137 / North-Holland
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