正则带的自由积与张量积

FREE PRODUCT AND TENSOR PRODUCT OF REGULAR BANDS

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。

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.