On prime submodules and primary decomposition

Yücel Tiraş; Harmanci, Abdullah

Czechoslovak Mathematical Journal (2000)

  • Volume: 50, Issue: 1, page 83-90
  • ISSN: 0011-4642

Abstract

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We characterize prime submodules of R × R for a principal ideal domain R and investigate the primary decomposition of any submodule into primary submodules of R × R .

How to cite

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Tiraş, Yücel, and Harmanci, Abdullah. "On prime submodules and primary decomposition." Czechoslovak Mathematical Journal 50.1 (2000): 83-90. <http://eudml.org/doc/30544>.

@article{Tiraş2000,
abstract = {We characterize prime submodules of $R\times R$ for a principal ideal domain $R$ and investigate the primary decomposition of any submodule into primary submodules of $R\times R.$},
author = {Tiraş, Yücel, Harmanci, Abdullah},
journal = {Czechoslovak Mathematical Journal},
keywords = {Prime submodule; primary submodule; primary decomposition; Associated primes; prime submodule; primary decomposition; principal ideal domain; associated primes},
language = {eng},
number = {1},
pages = {83-90},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On prime submodules and primary decomposition},
url = {http://eudml.org/doc/30544},
volume = {50},
year = {2000},
}

TY - JOUR
AU - Tiraş, Yücel
AU - Harmanci, Abdullah
TI - On prime submodules and primary decomposition
JO - Czechoslovak Mathematical Journal
PY - 2000
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 50
IS - 1
SP - 83
EP - 90
AB - We characterize prime submodules of $R\times R$ for a principal ideal domain $R$ and investigate the primary decomposition of any submodule into primary submodules of $R\times R.$
LA - eng
KW - Prime submodule; primary submodule; primary decomposition; Associated primes; prime submodule; primary decomposition; principal ideal domain; associated primes
UR - http://eudml.org/doc/30544
ER -

References

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  1. 10.1080/00927879208824530, Comm. Algebra 20 (12) (1992), 3593–3602. (1992) MR1191968DOI10.1080/00927879208824530
  2. Prime submodules of modules, Comm. Math. Univ. Sancti. Pauli 33 (1984), 61–69. (1984) Zbl0575.13005MR0741378
  3. M -radicals of submodules in modules, Math. Japon. 34 (1989), no. 2, 211–219. (1989) Zbl0706.13002MR0994584
  4. M -radicals of submodules in modules II, Math. Japon. 35 (1990), no. 5, 991–1001. (1990) Zbl0719.13001MR1073902
  5. 10.1080/00927879408824957, Comm. Algebra 22 (6) (1994), 2083–2099. (1994) MR1268545DOI10.1080/00927879408824957
  6. 10.4153/CMB-1986-006-7, Canad. Math. Bull. 29 (1) (1986). (1986) MR0824879DOI10.4153/CMB-1986-006-7
  7. 10.1216/rmjm/1181072540, Rocky Mountain J. Math. 23 (1993), no. 3. (1993) MR1245463DOI10.1216/rmjm/1181072540
  8. Commutative Ring Theory, Cambridge University Press, 1980. (1980) MR0879273
  9. Steps in Commutative Algebra, Cambridge University Press, 1990. (1990) Zbl0703.13001MR1070568

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