| 加法半群为半格的半环上Green-关系 |
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| 引用本文： | 秦松,甘爱萍.加法半群为半格的半环上Green-关系[J].江西师范大学学报(自然科学版),2012,36(2):151-154. |
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| 作者姓名： | 秦松 甘爱萍 |
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| 作者单位： | 江西师范大学数学与信息科学学院,江西南昌,330022 |
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| 基金项目： | 江西省自然科学基金(2010GZS0093)资助项目 |
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| 摘 要： | 利用半群代数理论研究了加法半群为半格的半环上的4种不同类型的Green-关系,并对它们的特征进行了刻画,证明了在加法半群为半格的半环上L=L且R=R.
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| 关 键 词： | Green-关系 半环 理想 k-集 |
The Green’s Relations on a Semiring with Additive Semigroup as Semilattice |
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| QIN Song
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GAN Ai-ping.The Green’s Relations on a Semiring with Additive Semigroup as Semilattice[J].Journal of Jiangxi Normal University (Natural Sciences Edition),2012,36(2):151-154. |
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| Authors: | QIN Song GAN Ai-ping |
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| Institution: | (College of Mathematics and Informatics,Jiangxi Normal University,Nanchang Jiangxi 330022,China) |
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| Abstract: | Four different kinds of Green’s relations on a semiring with additive semigroup as semilattice is studied by the algebraic theory of semigroups.Some characterizations of these Green’s relations are given.Also,it is shown that L =L and R =R on such a semiring. |
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| Keywords: | Green’s relations semiring ideal k-set |
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