Nearring multiplications on groups

References

• Adler , A. 1978 . On the multiplicative semigroups of rings . Communications in Algebra , 6 : 1751 – 1753 .
   Web of Science ®Google Scholar
• Burris , S. and Sankappanavar , H. P. 1981 . A course in universal algebra , New York : Springer-Verlag .
   Google Scholar
• Chandy , A. J. 1979 . D.G. near rings on certain groups . Monatsh. Math , 86 : 101 – 105 .
   Google Scholar
• Clay , J. R. 1966 . “ Doctoral dissertation ” . In The near-rings definable on an arbitrary group and the group of left distributive multiplications definable on an abelian group , University of Washington .
   Google Scholar
• Clay , J. R. 1968 . The group of left distributive multiplications on an abelian group . Acta Math, Sci. Hungar , 19 : 221 – 227 .
   Google Scholar
• Clay , J. R. 1968 . The near-rings on groups of low order . Math. Z , 104
   Google Scholar
• Clay , J. R. 1970 . Research in near-rings using a digital computer . Bit , 10 : 249 – 265 .
   Google Scholar
• Clay , J. R. 1992 . Nearrings: Geneses and Applications , Oxford : Oxford Univ. Press .
   Google Scholar
• Clay , J. R. and Doi , D. K. 1968 . Near-rings with identity on alternating groups . Math. Scand , 23 : 54 – 46 .
   Google Scholar
• Clay , J. R. and Malone , J. J. 1966 . The near-rings with identities on certain finite groups . Math. Scand , 19 : 146 – 150 .
   Google Scholar
• Clay , J. R. and Maxson , C. J. 1970 . The near-rings with identities on generalized quaternion groups . 1st. Lombardo, Academia di Science e Lettere (A) , 104 : 525 – 520 .
   Google Scholar
• Clifford , A. H. and Preston , G. B. 1964 . “ The algebraic theory of semigroups ” . In Amer. Math. Soc Rhode Island
   Google Scholar
• Dover , R. 1968 . “ Quasi-rings ” . In Master's thesis , University of Texas at Arlington .
   Google Scholar
• Feigelstock , S. 1980 . Generalized nil 2-groups and near-rings . Indian J. Math , 22 : 99 – 103 .
   Google Scholar
• Ferrero , G. 1968 . Classificazione e costruzione degli stems p-singolari . Istituto Lombardo Accad. Sci. Lett., Rend. A , 102 : 597 – 613 .
   Google Scholar
• Heatherly , H. E. 1973 . Distributive near-rings . Quart. J. Math. Oxford , 24 ( 2 ) : 63 – 70 .
   Google Scholar
• Jemsen , C. U. and Lenzing , H. 1984 . Model theoretic algebra with particular emphasis on fields, rings, modules , Gordon and Breach Science Publishers .
   Google Scholar
• Kaarli , K. 1974 . A note on near-rings with identity . Tartu Riikl. Ül. Toimetised , 336 : 234 – 242 . In Russian
   Google Scholar
• Krimmel , J. E. 1973 . A condition on near-rings with identity . Monatsh. Math , 77 : 52 – 54 .
   Google Scholar
• Lawver , D. A. 1972 . Concerning nil groups for near-rings . Acta Math. Acad. Sci. Hungar , 22 : 373 – 378 .
   Google Scholar
• Lawver , D. A. 1972 . “ Existence of near-rings in a special cases (near-rings on Z(p∞)) ” . Ober-wolfach .
   Google Scholar
• Loxton , R. and Lockhart , R. . The near-rings hosted by a class of groups . Proc. Endin-burgh Math. Soc . Vol. 23 , pp. 69 – 86 .
   Google Scholar
• Malone , J. J. 1967 . Near-rings with trivial multiplications . Amer. Math. Soc. Monthly , 74 : 1111 – 1112 .
   Google Scholar
• Malone , J.J. . Generalized quaternion groups and distributiveiy generated near-rings . Proc. Edinb. Math. Soc . Vol. 18 , pp. 235 – 238 .
   Google Scholar
• Malone , J. J. 1982 . D.G. near rings on the dihedral group of order 2n, n even . Kyungpook Math. J , 22 : 161 – 166 .
   Google Scholar
• Maxson , C. J. 1970 . On the construction of finite local near-rings I. On non-cyclic abelian p-groups . Quart. J. Math., Oxford Ser. , 21 : 449 – 457 .
   Google Scholar
• Maxson , C. J. 1971 . On the construction of finite local near-rings II. On abelian p-groups . Quart. J. Math., Oxford Ser , 22 : 65 – 72 .
   Google Scholar
• Maxson , C. J. and Smith , K. C. 1978 . The centralizer of a group automorphism . J. Algebra , 54 : 27 – 41 .
   Web of Science ®Google Scholar
• Maxson , C. J. and Smith , K. C. 1979 . The centralizer of a group endomorphism . J. Algebra , 57 : 441 – 448 .
   Google Scholar
• Meldrum , J.D.P. 1985 . Near-rings and Their Links with Groups , Pitman Publ. Co. . No. 134 in Research Note Series.
   Google Scholar
• Pilz , G. 1983 . Near-rings , North-Holland : American Elsevier .
   Google Scholar
• Scott , W. R. 1987 . Group Theory , New York : Dover publications .
   Google Scholar
• Taussky-Todd , O. 1936 . Rings with non-commutative addition . Bull. Calcutta Math. Soc , 28 : 245 – 246 .
   Google Scholar