HOMOMORPHIC IMAGES OF SEMIHEREDITARY RINGS

Efraim P. Armendariz

EN

HOMOMORPHIC IMAGES OF SEMIHEREDITARY RINGS

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

Details

Primary Language

English

Subjects

-

Journal Section

-

Authors

Efraim P. Armendariz This is me

Publication Date

December 1, 2009

Submission Date

December 1, 2009

Acceptance Date

-

Published in Issue

Year 2009 Volume: 6 Number: 6

IZ

https://izlik.org/JA85PL65AY

Cite

RIS / Bibtex

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.Efraim P. Armendariz. HOMOMORPHIC IMAGES OF SEMIHEREDITARY RINGS. IEJA [Internet]. 2009 Dec. 1;6(6):115-8. Available from: https://izlik.org/JA85PL65AY