Article PDF
book
James R. Clay 1994 “An Algebraic Introduction to Combinatorics and Geometry,” Preliminary Edition.
James R. Clay 1992 “Nearrings: Geneses and Applications,” Oxford University Press.
James R. Clay 1977 “Trigonometry — A Motivated Approach,” Burgess Publishing.
Journal Articles
W.F. Ke and H. Kiechle “A cryptosystem using unusual affine planesh,” (submitted)
1995 “The introduction of the double planar nearring,” Near-rings and Near-fields, Proceedings of a Conference held at the Mathematisches Forschungsinstitut Oberwolfach 1989, 34-36.
James R. Clay 1995 “On some geometry of Mersenne primes,” Periodica Math. Hung., 29(2), 137–157 (with Y. Yeh.).
James R. Clay 1995 “Generalizations of Pythagores’ theorem,” Southeast Asian Bulletin of Mathematics, 19, 19–26(with E. Ojeda-Peña et al.).
1994 “Some applications of nearrings,” accepted for publication in Pitman Research Notes.
1994 “Geometry in fields,” Algebra Colloquium, 1, 289-306.
James R. Clay 1993 “Near-rings generated by R-modules,” Mathematica Pannonica, 4/2, 97–107(with H. Kautschitsch).
James R. Clay 1993 “Linear codes from planar nearrings and Moebius planes,” (with H. Kiechle). Algebras, Groups and Geometrics, 10, pp. 333–344.
James R. Clay 1993 “On syntactic near-rings of even dihedral groups,” Results in Mathematics, 23, pp. 23–44.
1992 “Circular planar nearrings with applications,” Proceedings of KAIST Workshop, 7, pp. 149-177.
1992 “Compound closed chains in circular planar nearrings,” Annals of Discrete Math., 52, pp. 93-106.
1991 “Convolution rings of multiplications of an abelian group,” Acta Mathematica Hungarica, V. 58, pp. 297-310.
1991 “Addition of algebra endomorphisms,” J. of Algebra, V. 140, pp. 263-283.
1991 “An unexpected group isomorphism yields a surprising affine plane,” Contributions to General Algebra, 7, Verlag Hoelder-Pichler-Tempsky, Wien., pp. 71-74.
James R. Clay 1989 “Endomorphism nearrings of odd generalized dihedral groups,” J. of Algebra, V. 127, pp. 320–339(with G. Grainger).
1988 “Computer programs for investigating syntactic near-rings of finite group-semiautomata,” Bulletin Academia Sinica, 16, pp. 295-304.
1988 “Geometric and combinatorial ideas related to circular planar nearrings,” Bulletin Academia Sinica, 16, pp. 275-283.
1988 “Tactical configurations from a planar nearring can also generate balanced incomplete block designs,” J. of Geometry, 32, pp. 13-20.
James R. Clay 1988 “On the equality of blocks of a group of fixed point free automorphisms,” Results in Math, 13, pp. 33–46(with H. Karzel).
1988 “Circle geometry and more BIBD from planar near-rings,” Annals of Discrete Math., 37, pp. 95-106. 1987 “Applications of planar near-rings to geometry and combinatorics,” Resultate der Mathematik, 12, pp. 71-85.
1987 “The near-ring of some one dimensional noncommutative formal group laws,” Proc. Conf. on Near-rings and Near-fields (Tuebingen, West Germany), North-Holland Mathematical Studies, 137, pp. 41-52.
James R. Clay 1986 “Tactical configurations derived from groups having a group of fixed point free automorphisms,” J. of Geometry, 27, pp. 60–68 (with H. Karzel).
1986 “More balanced incomplete block designs from Frobenius groups,” Discrete Math., 59, pp. 229-234.
James R. Clay 1984 “The group of units of centralizer near-rings,” Communications in Algebra, 12(21), pp. 2591–2618 (with C.J. Maxson and J.D.P. Meldrum).
James R. Clay 1983 “Amalgamated product near-ring,” Contributions of the Klagenfurt Conference, June 10–13, 1982. Verlag Hoelder-Picher-Tempsky, Wien (with J.D.P. Meldrum).
1982 “Suggested directions for future research in near-ring theory,” Proceedings of Conference on Near-Ring and Near-Fields, San Benedetto del Tronto, Italy.
1982 “The fibered product near-ring and near-ring modules for certain categories,” Proceedings of the Edinburgh Math. Soc, 23, pp. 15-25.
1980 “Tactical configurations having p affine planes sharing a pencil of lines,” Beitraege zur Geometrie und Algebra, Nr. 6, Technische Universitaet Muenchen, TUM8010, pp. 10-16.
1980 “Examples of planar near-ring on non-abelian groups,” Beitraege zur Geometrie und Algebra, Nr. 6, Technische Universitaet Muenchen, TUM-M8010, pp. 6-9.
1980 “Lectures on near-rings,” Technische Universitaet Muenchen, TUM-M8016, pp. 1-61.
1980 “Completeness of relative holomorphs of abelian groups,” Rocky Mountain J. of Math., Vol. 10, No. 4, pp. 731-741.
James R. Clay 1976 “Block designs from Frobenius groups and planar near-rings,” Proc. Conf. finite groups (Park City, UT), Acad. Press, pp. 473–502 (with G. Betsch).
1975 “The structures of dilatation groups of generalized affine planes,” J. of Geometry, Vol. 6, No. 1, pp. 1-19.
Donna K. Doi 1973 “Maximal ideals in the near-ring of polynomials over a field,” Colloq. Math. Soc. Janus Bolyai, 6, Rings, Modules, and Radicals, Keszthely.
1972 “Generating balanced incomplete block designs from planar near-rings,” J. of Algebra, V. 22, pp. 319-331.
1970 “The near-rings with identities on generalized quaternion groups,” (with C.J. Maxson), Istituto Lombardo — Accademia di Scienze Lettere, V. 104, pp. 525-530.
1970 “Research in near-ring theory using a digital computer,” BIT, V. 10, pp. 249-265.
James R. Clay 1969 “Boolean near-rings,” (with D.A. Lawver), Canadian Math. Bull, V. 12, pp. 265–273.
1969 “A note on integral domains that are not right distributive,” Elemente der Mathematik, V. 24, pp. 40-41.
1969 “The punctured plane is isomorphic to the unit circle,” J. of Number Theory, V. 1, pp. 500-501.
1968 “The group of left distributive multiplications on an abelian group,” Acta Mathematica, V. 19, pp. 221-227.
1968 “The near-rings on groups of low order,” Math. Z., V. 104, pp. 364-371.
James R. Clay 1968 “Near-rings with identity on alternating groups,” (with D.K. Doi) Math. Scand., V. 23, pp. 54–56.
James R. Clay 1968 “Planar algebraic systems: some geometric interpretations,” (with M. Anshel) Journal of Algebra, V. 10, pp. 166–173.
James R. Clay 1968 “Planarity in algebraic systems,” (with M. Anshel) Bull, of Am. Math. Soc, V. 74, pp. 746–748.
James R. Clay 1967 “Ambiguity of the transfer function with partially coherent illumination,” (with R.E. Swing) Journ. Optical Soc. of Am., V. 57, pp. 1180–1189.
1967 “Imbedding an arbitrary ring in a non-trivial near-ring,” Am. Math. Monthly, V. 74, pp. 406-407.
James R. Clay. 1966 “The near-rings with identities on certain finite groups,” (with J. J. Malone, Jr.) Math. Scand., V. 19, pp. 146–150.
1964 “The near-rings on a finite cyclic group,” Am. Math. Monthly, V. 71, pp. 47-50.
Other Publications
1993 “Hanno Rund,” Results in Mathematics, 24, pp. 3-11.
1977 “The near-rings on the cyclic group of order 8,” Appendix of “Near-rings” by Pilz, North-Holland, pp. 342-344.
1971 “On the geometry of near-rings,” Atti del Convegno di Geometria Combinatoria e Sue Applicationi, Universita degli Studi di Perugia, pp. 163-172.
1970 “Experiments in near-ring theory with digital computers,” Proc. of the 2nd Annual Houston Conference on Circuits, Systems and Computers, College of Chinese Culture Press, Taiwan, pp. 308-317.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Maxson, C.J. James Ray Clay. Results. Math. 30, 3–9 (1996). https://doi.org/10.1007/BF03322173
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF03322173