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Czechoslovak Mathematical Journal, Vol. 70, No. 3, pp. 693-709, 2020

On the binary system of factors of formal matrix rings

Weining Chen, Guixin Deng, Huadong Su

Received October 21, 2018.   Published online February 19, 2020.
Abstract:  We investigate the formal matrix ring over $R$ defined by a certain system of factors. We give a method for constructing formal matrix rings from non-negative integer matrices. We also show that the principal factor matrix of a binary system of factors determine the structure of the system.
Keywords:  formal matrix ring; bimodule; system of factors; Wedderburn-Artin theorem
Classification MSC:  16S50, 15B99
DOI:  10.21136/CMJ.2020.0464-18
PDF available at:  Springer   Institute of Mathematics CAS   Digital Mathematics Library
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Affiliations:   Weining Chen, School of Mathematics and Statistics, Nanning Normal University, 175 Mingxiu E Rd, Xixiangtang, Nanning, Guangxi, 530023, P. R. China, e-mail: chenwn2013@163.com; Guixin Deng, School of Mathematics and Statistics, Nanning Normal University, 175 Mingxiu E Rd, Xixiangtang, Nanning, Guangxi, 530023, P. R. China and Guangxi College and Universities Key Laboratory of Data Science, Nanning, Guangxi, 530023, P. R. China, e-mail: dengguixin@live.com; Huadong Su (corresponding author), School of Mathematics and Statistics, Nanning Normal University, 175 Mingxiu E Rd, Xixiangtang, Nanning, Guangxi, 530023, P. R. China, e-mail: huadongsu@sohu.com
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