The dual notion of prime submodules

Siamak Yassemi

Archivum Mathematicum (2001)

  • Volume: 037, Issue: 4, page 273-278
  • ISSN: 0044-8753

Abstract

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In this paper the concept of the second submodule (the dual notion of prime submodule) is introduced.

How to cite

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Yassemi, Siamak. "The dual notion of prime submodules." Archivum Mathematicum 037.4 (2001): 273-278. <http://eudml.org/doc/248746>.

@article{Yassemi2001,
abstract = {In this paper the concept of the second submodule (the dual notion of prime submodule) is introduced.},
author = {Yassemi, Siamak},
journal = {Archivum Mathematicum},
keywords = {prime submodule; second submodule; injective and flat module; prime submodule; second submodule; injective and flat module},
language = {eng},
number = {4},
pages = {273-278},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {The dual notion of prime submodules},
url = {http://eudml.org/doc/248746},
volume = {037},
year = {2001},
}

TY - JOUR
AU - Yassemi, Siamak
TI - The dual notion of prime submodules
JO - Archivum Mathematicum
PY - 2001
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 037
IS - 4
SP - 273
EP - 278
AB - In this paper the concept of the second submodule (the dual notion of prime submodule) is introduced.
LA - eng
KW - prime submodule; second submodule; injective and flat module; prime submodule; second submodule; injective and flat module
UR - http://eudml.org/doc/248746
ER -

References

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  1. Lu C.-P., Prime submodules of modules, Comment. Math. Univ. St. Pauli 33 (1984), 61–69. (1984) Zbl0575.13005MR0741378
  2. Lu C.-P., Spectra of modules, Commun. Algebra 23 (1995), 3741–3752. (1995) Zbl0853.13011MR1348262
  3. MacDonald I.-G., Secondary representation of modules over a commutative ring, Sympos. Math. XI (1973), 23–43. (1973) Zbl0271.13001MR0342506
  4. Marcelo A., Masque J., Prime submodules, the descent invariant, and modules of finite length, J. Algebra 189 (1997), 273–293. (1997) Zbl0878.13005MR1438177
  5. Matsumura H., Commutative ring theory, Cambridge University Press, Cambridge 1986. (1986) Zbl0603.13001MR0879273
  6. McCasland R. L., Smith P. F., Prime submodules of Noetherian modules, Rocky Mountain J. Math. 23 (1993), 1041–1062. (1993) Zbl0814.16017MR1245463
  7. Rotman J. J., An introduction to homological algebra, Academic Press, 1979. (1979) Zbl0441.18018MR0538169
  8. Tiras Y., Tercan A., Harmanci A., Prime modules, Honam Math. J. 18 (1996), 5–15. (1996) Zbl0948.13004MR1402357
  9. Vasconcelos W., On finitely generated flat modules, Trans. Amer. Math. Soc. 138 (1969), 505–512. (1969) Zbl0238.13011MR0238839
  10. Yassemi S., Coassociated primes of modules over commutative rings, Math. Scand. 10 (1997), 175–187. (1997) MR1481103

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