Relationship of certain rings of infinite matrices over integers

Mario Petrich; Pedro V. Silva

Bollettino dell'Unione Matematica Italiana (2000)

  • Volume: 3-B, Issue: 2, page 347-365
  • ISSN: 0392-4041

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Petrich, Mario, and Silva, Pedro V.. "Relationship of certain rings of infinite matrices over integers." Bollettino dell'Unione Matematica Italiana 3-B.2 (2000): 347-365. <http://eudml.org/doc/195201>.

@article{Petrich2000,
author = {Petrich, Mario, Silva, Pedro V.},
journal = {Bollettino dell'Unione Matematica Italiana},
keywords = {rings of infinite matrices; essential extension of rings; trivial annihilator},
language = {eng},
month = {6},
number = {2},
pages = {347-365},
publisher = {Unione Matematica Italiana},
title = {Relationship of certain rings of infinite matrices over integers},
url = {http://eudml.org/doc/195201},
volume = {3-B},
year = {2000},
}

TY - JOUR
AU - Petrich, Mario
AU - Silva, Pedro V.
TI - Relationship of certain rings of infinite matrices over integers
JO - Bollettino dell'Unione Matematica Italiana
DA - 2000/6//
PB - Unione Matematica Italiana
VL - 3-B
IS - 2
SP - 347
EP - 365
LA - eng
KW - rings of infinite matrices; essential extension of rings; trivial annihilator
UR - http://eudml.org/doc/195201
ER -

References

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  1. DORROH, J. L., Concerning adjunctions to algebras, Amer Math. Soc., 38 (1932), 85-88. Zbl0003.38701MR1562332
  2. GOODEARL, K. R., Von Neumann regular rings, Pitman, London, 1979. Zbl0411.16007MR533669
  3. JACOBSON, N., Lectures in abstract algebra II, Linear algebra, Springer, New York, Heidelberg, Berlin, 1975. Zbl0314.15001MR392906
  4. MUNN, W. D., Direct finiteness of certain monoid algebras, Proc. Edinburgh Math. Soc., 39 (1996), 365-369. Zbl0857.16029MR1396057
  5. PETRICH, M., Translational hull in semigroups and rings, Semigroup Forum, 1 (1970), 283-360. Zbl0209.04902MR267017
  6. PETRICH, M., Introduction to semigroups, Merrill, Columbus, 1973. Zbl0321.20037MR393206
  7. PETRICH, M., Rings and semigroups, Lecture Notes in Math. No. 380, Springer, New York, Heidelberg, Berlin, 1974. Zbl0278.20068MR342542
  8. PETRICH, M.- SILVA, P. V., On directly infinite rings, Acta Math. Hungarica (to appear). Zbl0991.16024MR1713097
  9. PETRICH, M.- SILVA, P. V., On quasidirectly infinite rings, Acta Scient. Matem., 65 (1999), 61-75. Zbl0938.16017MR1702176
  10. PETRICH, M.- SILVA, P. V., A canonical directly infinite ring, Czech Math. Journal (to appear). Zbl1079.15508MR1851546
  11. ROWEN, L. H., Ring theory, Vol. I, Academic Press, San Diego, 1988. Zbl0651.16001MR940245
  12. SHEVRIN, L., On densely embedded ideals of algebras, Matem. Sbornik88 No. 2 (1972), 218-228 (Russian). Zbl0267.08007MR300963

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