TY - JOUR
AU - K Jayalakshmi,
PY - 2015/03/30
Y2 - 2024/11/11
TI - Maximal Left Ideals In Local Goldie (-1, 1) Rings
JF - Mathematical Journal of Interdisciplinary Sciences
JA - Math. J. Interdiscip. Sci.
VL - 3
IS - 2
SE - Articles
DO - 10.15415/mjis.2015.32013
UR - https://mjis.chitkara.edu.in/index.php/mjis/article/view/109
SP - 139-153
AB - <p>In this paper, we show how to reduce the study of nondegenerate local Goldie (-1, 1) rings to the strongly prime case, via the notions of uniform ideals and essential subdirect product. Also, we construct the maximal left quotient ring of (-1, 1) ring that is a left quotient ring of itself. We follow Utumi where a maximal left quotient ring is constructed as a direct limit of a partially defined homomorphism from the left ideal of <em>R</em> to <em>R</em>.</p>
ER -