Abstract
This paper continues with work which was reported at two previous near-rings conferences.1 I give further information on multiplicative “product theory” and discuss connections with a non-abelian generalisation of homological group theory, and the “tensor products” of this generalisation. Then, I connect product theory to Dickson’s “coupling maps” and discuss the algebra of products hosted by a group.
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References
Dieudonné, J. A Panorama of Pure Mathematics. Academic Press inc. 1982. [ISBN 0-12-215560-2]-
Fröhlich, A. Distributively generated near-rings 1. Ideal Theory. Proc London Math Soc 8 (1958), 76–94.
Lockhart, R. A note on non-abelian homological algebra and endomorphism near-rings. Proceedings of the Royal Society of Edinburgh, pp 92A, 147–152, 1982.
Lockhart, R. Products on Groups. Contributions to General Algebra, 8. Verlag Hölder-Pichler-Tempsky, Wien 1992. pp 137–149. [ISBN 3-519-02767-4].
Maunder, C R F. Algebraic Topology. Cambridge University Press, (1970). [ISBN: 0-521-29840-7]-
Pilz, G. Near-Rings: the theory and its applications. North Holland Publishing Company, 1977. [ISBN: 0-7204-0566-1].
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© 1997 Kluwer Academic Publishers
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Lockhart, B. (1997). Products on Products on Groups. In: Saad, G., Thomsen, M.J. (eds) Nearrings, Nearfields and K-Loops. Mathematics and Its Applications, vol 426. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-1481-0_24
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DOI: https://doi.org/10.1007/978-94-009-1481-0_24
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-7163-5
Online ISBN: 978-94-009-1481-0
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