On Quotient Loops of Normal Subloops
Canadian mathematical bulletin, Tome 22 (1979) no. 4, pp. 517-518
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The following result is due to Wielandt [1, Lemma 2.9]: Let A, B, K be N-submodules of some N-module, where N is a zero symmetric near-ring. Then the N-module, Γ: = (A + K) ∩ (B + K) | (A ∩ B) + K is commutative. Using this result Wielandt obtained density theorem for 2-primitive near-rings with identity. Betsch [1] used Wielandt's result to obtain the density theorem for O-primitive near-rings. The purpose of this paper is to extend this result for loops.
Santhakumari, C. On Quotient Loops of Normal Subloops. Canadian mathematical bulletin, Tome 22 (1979) no. 4, pp. 517-518. doi: 10.4153/CMB-1979-068-7
@article{10_4153_CMB_1979_068_7,
author = {Santhakumari, C.},
title = {On {Quotient} {Loops} of {Normal} {Subloops}},
journal = {Canadian mathematical bulletin},
pages = {517--518},
year = {1979},
volume = {22},
number = {4},
doi = {10.4153/CMB-1979-068-7},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1979-068-7/}
}
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