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2-absorbing powerful ideals and related results
Ideales poderosos 2-absorbentes y resultados relacionados
Palabras clave:
Powerful ideal, 2-absorbing powerful ideal, 2-absorbing powerful submodule, 2-absorbing powerful primary ideal, 2-absorbing powerful primary submodule (en)ideal poderoso, ideal poderoso 2-absorbente, submódulo poderoso 2-absorbente, ideal primario poderoso 2-absorbente, submódulo primario poderoso 2-absorbente (es)
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Referencias
D. F. Anderson and J. Park, Rooty and root-closed domains, Advances in Commutative ring theory, Lecture Notes Pure Applied Math., Marcel Dekker 205 (1999), 87-99.
H. Ansari-Toroghy, F. Farshadifar, and S. Maleki-Roudposhti, Some generalizations of strongly prime ideals, Journal of Mathematical Extension, to appear.
A. Badawi, On 2-absorbing ideals of commutative rings, Bull. Austral. Math. Soc. 75 (2007), 417-429.
A. Badawi and E. Houston, Powerful ideals, strongly primary ideals, almost pseudo-valuation domains, and conducive domains, Commu. Algebra 30 (2002), no. 4, 1591-1606.
A. Barnard, Multiplication modules, J. Algebra 71 (1981), 174-178.
S. T. Chapman, Arithmetical Properties of Commutative Rings and Monoids, CRC Press, 2005.
Z. A. El-Bast and P. F. Smith, Multiplication modules, Comm. Algebra 16 (1988), 755-779.
J. Hedstrom and G. Houston, Pseudo-valuation domains, Pacific J. Math. 75 (1978), no. 1, 137-147.
R. Y. Sharp, Step in commutative algebra, Cambridge University Press, 1990.
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Derechos de autor 2020 Boletín de Matemáticas

Esta obra está bajo una licencia internacional Creative Commons Atribución 4.0.