On A -radicals

Sodnomkhorloo Tumurbat; Richard Wiegandt

Mathematica Slovaca (2006)

  • Volume: 56, Issue: 1, page 113-119
  • ISSN: 0139-9918

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Tumurbat, Sodnomkhorloo, and Wiegandt, Richard. "On $A$-radicals." Mathematica Slovaca 56.1 (2006): 113-119. <http://eudml.org/doc/34617>.

@article{Tumurbat2006,
author = {Tumurbat, Sodnomkhorloo, Wiegandt, Richard},
journal = {Mathematica Slovaca},
keywords = {biideals; quasi-ideals; -radicals; left ideals; normal radicals; principally bi-hereditary radicals; additive groups of rings; Kurosh-Amitsur radicals},
language = {eng},
number = {1},
pages = {113-119},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {On $A$-radicals},
url = {http://eudml.org/doc/34617},
volume = {56},
year = {2006},
}

TY - JOUR
AU - Tumurbat, Sodnomkhorloo
AU - Wiegandt, Richard
TI - On $A$-radicals
JO - Mathematica Slovaca
PY - 2006
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 56
IS - 1
SP - 113
EP - 119
LA - eng
KW - biideals; quasi-ideals; -radicals; left ideals; normal radicals; principally bi-hereditary radicals; additive groups of rings; Kurosh-Amitsur radicals
UR - http://eudml.org/doc/34617
ER -

References

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  1. BEIDAR K. I.-WIEGANDT R., Rings with involution and chain conditions, J. Pure Appl. Algebra 87 (1993), 205-220. (1993) Zbl0826.16031MR1228152
  2. GARDNER B. J., Radicals of abelian groups and associative rings, Acta Math. Acad. Sci. Hungar. 24 (1973), 259-268. (1973) MR0323817
  3. GARDNER B. J., Sub-prime radical classes determined by zerorings, Bull. Austral. Math. Soc. 12 (1975), 95-97. (1975) Zbl0286.16005MR0379565
  4. GARDNER B. J.- WIEGANDT R., Radical Theory of Rings, Monogr. Textbooks Pure Appl. Math. 261, Marcel Dekker, New York-Basel, 2004. MR2015465
  5. JAEGERMANN M., Morita contexts and radicals, Bull. Acad. Polon. Sci. Ser. Sci. Math. Astr. Phys. 20 (1972), 619-623. (1972) Zbl0242.16005MR0313295
  6. JAEGERMANN M.-SANDS A. D., On normal radicals and normal classes of rings, J. Algebra 50 (1978), 337-349. (1978) MR0498659
  7. SANDS A. D., On normal radicals, J. London Math. Soc. 11 (1975), 361-365. (1975) Zbl0312.16006MR0387337
  8. SNIDER R. L., Complemented hereditary radicals, Bull. Austral. Math. Soc. 4 (1971), 307-320. (1971) Zbl0206.32301MR0280533
  9. STEINFELD O., Quasi-Ideals in Rings and Semigroups, Akademiai Kiado, Budapest, 1978. (1978) Zbl0403.16001MR0521258
  10. STEWART P. N.- WIEGANDT R., Quasi-ideals and bi-ideals in radical theory of rings, Acta Math. Acad. Sci. Hungar. 39 (1982), 298-294. (1982) MR0653701

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