Unit-regularity and representability for semiartinian -regular rings
Archivum Mathematicum (2020)
- Volume: 056, Issue: 1, page 43-47
- ISSN: 0044-8753
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topHerrmann, Christian. "Unit-regularity and representability for semiartinian $*$-regular rings." Archivum Mathematicum 056.1 (2020): 43-47. <http://eudml.org/doc/295082>.
@article{Herrmann2020,
abstract = {We show that any semiartinian $*$-regular ring $R$ is unit-regular; if, in addition, $R$ is subdirectly irreducible then it admits a representation within some inner product space.},
author = {Herrmann, Christian},
journal = {Archivum Mathematicum},
keywords = {$*$-regular ring; representable; unit-regular},
language = {eng},
number = {1},
pages = {43-47},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Unit-regularity and representability for semiartinian $*$-regular rings},
url = {http://eudml.org/doc/295082},
volume = {056},
year = {2020},
}
TY - JOUR
AU - Herrmann, Christian
TI - Unit-regularity and representability for semiartinian $*$-regular rings
JO - Archivum Mathematicum
PY - 2020
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 056
IS - 1
SP - 43
EP - 47
AB - We show that any semiartinian $*$-regular ring $R$ is unit-regular; if, in addition, $R$ is subdirectly irreducible then it admits a representation within some inner product space.
LA - eng
KW - $*$-regular ring; representable; unit-regular
UR - http://eudml.org/doc/295082
ER -
References
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