Year: 2021
Author: Zhichao Chen, Jiayi Cai, Lingchao Meng, Libin Li
Journal of Mathematical Study, Vol. 54 (2021), Iss. 4 : pp. 357–370
Abstract
The Z+-ring is an important invariant in the theory of tensor category. In this paper, by using matrix method, we describe all irreducible Z+-modules over a Z+-ring A, where A is a commutative ring with a Z+-basis{1, x, y, xy} and relations: x2=1,y2=1+x+xy.We prove that when the rank of Z+-module n≥5, there does not exist irreducible Z+-modules and when the rank n≤4, there exists finite inequivalent irreducible Z+-modules, the number of which is respectively 1, 3, 3, 2 when the rank runs from 1 to 4.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jms.v54n4.21.02
Journal of Mathematical Study, Vol. 54 (2021), Iss. 4 : pp. 357–370
Published online: 2021-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 14
Keywords: Non-negative integer matrix representation irreducible Z+-module Z+-ring.
Author Details
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