| Sturdy Frame of Type (2,2) Algebras With Application to Semigroup Structure of Semirings |
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| 作者姓名： | 赵宪钟 郭聿琦 K.P.SHUM |
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| 作者单位： | 赵宪钟(Dept.of Math.,Northwest Univ.,Xian,Shanxi,710069,P.R.China);郭聿琦(Inst.of Math.,Yunnan Univ.,Kunming,Yunnan,650091,P.R.China);K.P.SHUM(Dept.of Math.,The Chinese Univ.of Hong Kong,Hong Kong,P.R.China) |
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| 基金项目： | The research of this paper is supported by NSFC (No. 10071068), Yunnan Applied Fundamental ResearchFoundation (No. 96a001z) and UGC(HK) (No. 2160126). |
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| 摘 要： | W irst Introduce the concept oftrames.Definition We call txne(2,2)alsebr洲;+;·)a w。e If B Is elldowed with an uPP。rsc。lllattlce order‘”<”“satlsfyingthe Nil。
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Sturdy Frame of Type (2,2) Algebras With Application to Semigroup Structure of Semirings |
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| K.P.SHUM.Sturdy Frame of Type (2,2) Algebras With Application to Semigroup Structure of Semirings[J].Advances in Mathematics,2002,31(3). |
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| Authors: | KPSHUM |
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| Abstract: | We first introduce the concept of frames.Definition 1 We call a type (2,2) algebra (B; +, ) a frame if B is endowed with an upper semilattice order "≤" satisfying the following frame condition: for any a, b ∈ B, a + b ≤ a b and ab ≤ a b, where a b = L.u.b.{a, b}.Similar to the sturdy semilattice of semigroups, we give the following definition of sturdy frame of type (2,2) algebras. |
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