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HOMOMORPHIC IMAGES OF SEMIHEREDITARY RINGS

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

Efraim P. Armendariz

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.

Keywords

semihereditary ring p.p.-ring Loewy series semiartinian

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

Efraim P. Armendariz

Abstract

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Other ID JA55UN76RE
Journal Section Articles
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.
AMA Armendariz EP. HOMOMORPHIC IMAGES OF SEMIHEREDITARY RINGS. IEJA. December 2009;6(6):115-118.
Chicago Armendariz, Efraim P. “HOMOMORPHIC IMAGES OF SEMIHEREDITARY RINGS”. International Electronic Journal of Algebra 6, no. 6 (December 2009): 115-18.
EndNote Armendariz EP (December 1, 2009) HOMOMORPHIC IMAGES OF SEMIHEREDITARY RINGS. International Electronic Journal of Algebra 6 6 115–118.
IEEE E. P. Armendariz, “HOMOMORPHIC IMAGES OF SEMIHEREDITARY RINGS”, IEJA, vol. 6, no. 6, pp. 115–118, 2009.
ISNAD Armendariz, Efraim P. “HOMOMORPHIC IMAGES OF SEMIHEREDITARY RINGS”. International Electronic Journal of Algebra 6/6 (December 2009), 115-118.
JAMA 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, 2009, pp. 115-8.
Vancouver Armendariz EP. HOMOMORPHIC IMAGES OF SEMIHEREDITARY RINGS. IEJA. 2009;6(6):115-8.