| 正则带的自由积与张量积 |
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| 引用本文： | 李桂荣. 正则带的自由积与张量积[J]. 青岛大学学报(自然科学版), 2001, 14(3): 21-26 |
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| 作者姓名： | 李桂荣 |
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| 作者单位： | 山东德州学院数学系,山东,德州,253023 |
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| 摘 要： | 本文证明正则带的自由积的极大正则带同态象同构于这些正则带的正则范畴中的自由积，并证明正则带的自由积的张量积可表为张量积的自由积。
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| 关 键 词： | 正则带 自由积 张量积 次直积 半格 半群 同态 结合律 幂等律 |
| 文章编号： | 1006-1037(2001)03-021-026 |
| 修稿时间： | 2001-05-18 |
FREE PRODUCT AND TENSOR PRODUCT OF REGULAR BANDS |
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| LI Gui-rong. FREE PRODUCT AND TENSOR PRODUCT OF REGULAR BANDS[J]. Journal of Qingdao University(Natural Science Edition), 2001, 14(3): 21-26 |
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| Authors: | LI Gui-rong |
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| Abstract: | This paper proves that the maximal regular band homomorphism image of freeproduct of regular bands is isomorphic to the free product of those regular bands in regular band category. Furthermore, it also proves that the tensor product of free products of regular bands is expressible as free product of tensor products. |
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| Keywords: | Regular Band Free Product Tensor Product Subdirect Product Semilattice |
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