On the binary system of factors of formal matrix rings

Weining Chen; Guixin Deng; Huadong Su

Czechoslovak Mathematical Journal (2020)

  • Volume: 70, Issue: 3, page 693-709
  • ISSN: 0011-4642

Abstract

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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.

How to cite

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Chen, Weining, Deng, Guixin, and Su, Huadong. "On the binary system of factors of formal matrix rings." Czechoslovak Mathematical Journal 70.3 (2020): 693-709. <http://eudml.org/doc/297289>.

@article{Chen2020,
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.},
author = {Chen, Weining, Deng, Guixin, Su, Huadong},
journal = {Czechoslovak Mathematical Journal},
keywords = {formal matrix ring; bimodule; system of factors; Wedderburn-Artin theorem},
language = {eng},
number = {3},
pages = {693-709},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On the binary system of factors of formal matrix rings},
url = {http://eudml.org/doc/297289},
volume = {70},
year = {2020},
}

TY - JOUR
AU - Chen, Weining
AU - Deng, Guixin
AU - Su, Huadong
TI - On the binary system of factors of formal matrix rings
JO - Czechoslovak Mathematical Journal
PY - 2020
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 70
IS - 3
SP - 693
EP - 709
AB - 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.
LA - eng
KW - formal matrix ring; bimodule; system of factors; Wedderburn-Artin theorem
UR - http://eudml.org/doc/297289
ER -

References

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