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Bi-Difference Sets, Order Relation, and Monoids

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Abstract

Bi-difference sets generalize pseudo-difference sets and D-sets. Bi-difference sets automatically have an order relation if they are weaked slightly. As an application of the partially order relation, we present a characteristic of ideals in the weaked bi-difference sets. If a certain condition is satisfied then a bi-difference set becomes the union of monoids.

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Authors and Affiliations

  1. Department of Mathematics, Zhejiang University, Hangzhou, People's Republic of China

    Ma Zhihao & Wu Junde

  2. City College, Zhejiang University, Hangzhou, People's Republic of China

    Lu Shijie

Authors
  1. Ma Zhihao
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  2. Wu Junde
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  3. Lu Shijie
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Zhihao, M., Junde, W. & Shijie, L. Bi-Difference Sets, Order Relation, and Monoids. International Journal of Theoretical Physics 43, 1355–1362 (2004). https://doi.org/10.1023/B:IJTP.0000048620.95165.89

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  • DOI: https://doi.org/10.1023/B:IJTP.0000048620.95165.89

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