SHANDONG SCIENCE ›› 2018, Vol. 31 ›› Issue (2): 100-104.doi: 10.3976/j.issn.1002-4026.2018.02.016
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YUAN Meng, LI Gang*
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Abstract:
A bi-semiring whose semigroup S,+ was a semilattice, semigroup S,· was an inverse semigroup and semiroup S,* was a semilattice was studied in this paper. By using three partial orders constructed on S,+,S,· and S,* and the relationships among them, some equivalent statements for this kind of bisemiring to be a distributive lattice were given.
Key words: inverse semigroup, distributive lattice, semilattice, partial order, bi-semiring
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YUAN Meng, LI Gang. Bi-semiring whose multiplicative semigroup(S,·)is an inverse semigroup[J].SHANDONG SCIENCE, 2018, 31(2): 100-104.
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URL: https://www.sdkx.net/EN/10.3976/j.issn.1002-4026.2018.02.016
https://www.sdkx.net/EN/Y2018/V31/I2/100
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