Efraim P. ARMENDARİZ

15374

HOMOMORPHIC IMAGES OF SEMIHEREDITARY RINGS

HOMOMORPHIC IMAGES OF SEMIHEREDITARY RINGS

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,

International Electronic Journal of Algebra-Cover

ISSN: 1306-6048
Yayın Aralığı: Yılda 2 Sayı
Başlangıç: 2007
Yayıncı: Abdullah HARMANCI

Arşiv

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