On the construction and the realization of wild monoids
Archivum Mathematicum (2018)
- Volume: 054, Issue: 1, page 33-64
- ISSN: 0044-8753
Access Full Article
top
Abstract
topHow to cite
topRůžička, Pavel. "On the construction and the realization of wild monoids." Archivum Mathematicum 054.1 (2018): 33-64. <http://eudml.org/doc/294186>.
@article{Růžička2018,
abstract = {We develop elementary methods of computing the monoid $\mathcal \{V\}(R)$ for a directly-finite regular ring $R$. We construct a class of directly finite non-cancellative refinement monoids and realize them by regular algebras over an arbitrary field.},
author = {Růžička, Pavel},
journal = {Archivum Mathematicum},
keywords = {monoid; refinement; interpolation; ring; von Neumann regular},
language = {eng},
number = {1},
pages = {33-64},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {On the construction and the realization of wild monoids},
url = {http://eudml.org/doc/294186},
volume = {054},
year = {2018},
}
TY - JOUR
AU - Růžička, Pavel
TI - On the construction and the realization of wild monoids
JO - Archivum Mathematicum
PY - 2018
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 054
IS - 1
SP - 33
EP - 64
AB - We develop elementary methods of computing the monoid $\mathcal {V}(R)$ for a directly-finite regular ring $R$. We construct a class of directly finite non-cancellative refinement monoids and realize them by regular algebras over an arbitrary field.
LA - eng
KW - monoid; refinement; interpolation; ring; von Neumann regular
UR - http://eudml.org/doc/294186
ER -
References
top- Ara, P., The realization problem for von Neumann regular rings, Ring Theory 2007, Proceedings of the fifth China-Japan-Korean conference (H., Marubayashi, K., Masaike, K., Oshiro, M., Sato, eds.), World Scientific, Hackensack, NJ, 2009, pp. 21–37. (2009) MR2513205
- Ara, P., 10.1090/S0002-9947-09-04884-3, Trans. Amer. Math. Soc. 362 (2010), 1505–1546. (2010) MR2563739DOI10.1090/S0002-9947-09-04884-3
- Ara, P., Brustenga, M., 10.1016/j.jalgebra.2006.10.013, J. Algebra 309 (2007), 207–235. (2007) MR2301238DOI10.1016/j.jalgebra.2006.10.013
- Ara, P., Goodearl, K.R., 10.1007/s00233-014-9647-3, Semigroup Forum 91 (2015), 1–27. (2015) MR3369375DOI10.1007/s00233-014-9647-3
- Ara, P., Goodearl, K.R., 10.1090/tran/6889, Trans. Amer. Math. Soc. 369 (2017), 5665–5710. (2017) MR3646775DOI10.1090/tran/6889
- Ara, P., Moreno, M.A., Pardo, E., Non stable -theory of graph algebras, Algebras Represent. Theory 10 (2007), 157–178. (2007) MR2310414
- Chuang, Ch.-L., Lee, P.-H., 10.2140/pjm.1990.142.17, Pacific J. Math. 142 (1990), 17–21. (1990) MR1038726DOI10.2140/pjm.1990.142.17
- Goodearl, K.R., Partially Ordered Abelian Groups with Interpolation, American Mathematical Society, Providence Rhode Island, 1986. (1986) MR0845783
- Goodearl, K.R., Von Neumann Regular Rings, Krieger Pub. Co., 1991. (1991) MR1150975
- Goodearl, K.R., Von Neumann regular rings and direct sum decomposition problems, Abelian Groups and Modules, Kluwer, Dordrecht, 1995, pp. 249–255. (1995) MR1378203
- Moncasi, J., 10.1080/00927878508823152, Comm. Algebra 13 (1985), 125–131. (1985) MR0768090DOI10.1080/00927878508823152
- Wehrung, F., 10.1007/BF02762273, Israel J. Math. 103 (1998), 177–206. (1998) MR1613568DOI10.1007/BF02762273
NotesEmbed ?
topYou must be logged in to post comments.
To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.