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HOMOMORPHIC IMAGES OF SEMIHEREDITARY RINGS

Year 2009, Volume: 6 Issue: 6, 115 - 118, 01.12.2009

Abstract

An example is provided of a left semihereditary ring R with an idempotent ideal I such that R/I is not left semihereditary. Two related positive results are provided: a) a left semiartinian, left p.p. ring has nonsingular Loewy factors; b) if R is a commutative von Neumann regular ring and D is an idempotent ideal of R[X] then R[X]/D is semihereditary.

Year 2009, Volume: 6 Issue: 6, 115 - 118, 01.12.2009

Abstract

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Details

Other ID JA55UN76RE
Authors

Efraim P. Armendariz This is me

Publication Date December 1, 2009
Published in Issue Year 2009 Volume: 6 Issue: 6

Cite

APA Armendariz, E. P. (2009). HOMOMORPHIC IMAGES OF SEMIHEREDITARY RINGS. International Electronic Journal of Algebra, 6(6), 115-118. https://izlik.org/JA85PL65AY
AMA 1.Armendariz EP. HOMOMORPHIC IMAGES OF SEMIHEREDITARY RINGS. IEJA. 2009;6(6):115-118. https://izlik.org/JA85PL65AY
Chicago Armendariz, Efraim P. 2009. “HOMOMORPHIC IMAGES OF SEMIHEREDITARY RINGS”. International Electronic Journal of Algebra 6 (6): 115-18. https://izlik.org/JA85PL65AY.
EndNote Armendariz EP (December 1, 2009) HOMOMORPHIC IMAGES OF SEMIHEREDITARY RINGS. International Electronic Journal of Algebra 6 6 115–118.
IEEE [1]E. P. Armendariz, “HOMOMORPHIC IMAGES OF SEMIHEREDITARY RINGS”, IEJA, vol. 6, no. 6, pp. 115–118, Dec. 2009, [Online]. Available: https://izlik.org/JA85PL65AY
ISNAD Armendariz, Efraim P. “HOMOMORPHIC IMAGES OF SEMIHEREDITARY RINGS”. International Electronic Journal of Algebra 6/6 (December 1, 2009): 115-118. https://izlik.org/JA85PL65AY.
JAMA 1.Armendariz EP. HOMOMORPHIC IMAGES OF SEMIHEREDITARY RINGS. IEJA. 2009;6:115–118.
MLA Armendariz, Efraim P. “HOMOMORPHIC IMAGES OF SEMIHEREDITARY RINGS”. International Electronic Journal of Algebra, vol. 6, no. 6, Dec. 2009, pp. 115-8, https://izlik.org/JA85PL65AY.
Vancouver 1.Armendariz EP. HOMOMORPHIC IMAGES OF SEMIHEREDITARY RINGS. IEJA [Internet]. 2009 Dec. 1;6(6):115-8. Available from: https://izlik.org/JA85PL65AY