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$ {\cal L} $-subvarieties of the variety of idempotent semirings

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Abstract.

We show that certain varieties of idempotent semirings are determined by some properties of Green's relations, provide equational bases for them and give conditions guaranteeing that some Green's relations are congruences.

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Authors and Affiliations

  1. Department of Mathematics, Northwest University, Xian, 710069, China, , , , , , CN

    Zhao Xianzhong

  2. Department of Mathematics, The Chinese University of Hong Kong, Shatin, Hong Kong, China (SAR), , , , , , CN

    K. P. Shum

  3. Institute of Mathematics, Yunnan University, Kunming, 650091, China, , , , , , CN

    Y. Q. Guo

Authors
  1. Zhao Xianzhong
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  2. K. P. Shum
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  3. Y. Q. Guo
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Additional information

Received November 2, 1999; accepted in final form May 2, 2000.

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Xianzhong, Z., Shum, K. & Guo, Y. $ {\cal L} $-subvarieties of the variety of idempotent semirings. Algebra univers. 46, 75–96 (2001). https://doi.org/10.1007/PL00000348

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  • DOI: https://doi.org/10.1007/PL00000348

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