Geodesic
Local Near-Rings Of Cardinality P2
Canadian mathematical bulletin, Tome 11 (1968) no. 4, pp. 555-561

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The main result of this paper is the determination of all nonisomorphic local near-rings <N, +, •> with <N, +> =<C(p) × C(p), +> which are not near-fields. Together with the fundamental paper [6] by Zassenhaus on near-fields and the corollary to Theorem 1 of [2], this 2 paper gives a complete description of all local near-rings of order p2.We recall that a unitary near-ring N is called local if the subset L of elements in N without left inverses is an (N, N)-subgroup and N ≠ J(N). (J(N) denotes the radical of N given in [1].) In [3] it was proved that N ≠ J(N) whenever L is an ideal of N. (For previous result s concerning local near-rings we refer the reader to [3].) 
Maxson, Carlton J. Local Near-Rings Of Cardinality P2. Canadian mathematical bulletin, Tome 11 (1968) no. 4, pp. 555-561. doi: 10.4153/CMB-1968-066-2
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     title = {Local {Near-Rings} {Of} {Cardinality} {P2}},
     journal = {Canadian mathematical bulletin},
     pages = {555--561},
     year = {1968},
     volume = {11},
     number = {4},
     doi = {10.4153/CMB-1968-066-2},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1968-066-2/}
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