SMALL AND LARGE IDEALS OF AN ASSOCIATIVE RING
Publication type: Journal Article
Publication date: 2013-10-28
scimago Q2
wos Q3
SJR: 0.585
CiteScore: 1.5
Impact factor: 0.6
ISSN: 02194988, 17936829
Applied Mathematics
Algebra and Number Theory
Abstract
Let R be an associative ring with identity, and let I be an (left, right, two-sided) ideal of R. Say that I is small if |I| < |R| and large if |R/I| < |R|. In this paper, we present results on small and large ideals. In particular, we study their interdependence and how they influence the structure of R. Conversely, we investigate how the ideal structure of R determines the existence of small and large ideals.
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Total citations:
7
Citations from 2024:
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Oman G. SMALL AND LARGE IDEALS OF AN ASSOCIATIVE RING // Journal of Algebra and its Applications. 2013. Vol. 13. No. 05. p. 1350151.
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Oman G. SMALL AND LARGE IDEALS OF AN ASSOCIATIVE RING // Journal of Algebra and its Applications. 2013. Vol. 13. No. 05. p. 1350151.
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RIS
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TY - JOUR
DO - 10.1142/S021949881350151X
UR - https://doi.org/10.1142/S021949881350151X
TI - SMALL AND LARGE IDEALS OF AN ASSOCIATIVE RING
T2 - Journal of Algebra and its Applications
AU - Oman, Greg
PY - 2013
DA - 2013/10/28
PB - World Scientific
SP - 1350151
IS - 05
VL - 13
SN - 0219-4988
SN - 1793-6829
ER -
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BibTex (up to 50 authors)
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@article{2013_Oman,
author = {Greg Oman},
title = {SMALL AND LARGE IDEALS OF AN ASSOCIATIVE RING},
journal = {Journal of Algebra and its Applications},
year = {2013},
volume = {13},
publisher = {World Scientific},
month = {oct},
url = {https://doi.org/10.1142/S021949881350151X},
number = {05},
pages = {1350151},
doi = {10.1142/S021949881350151X}
}
Cite this
MLA
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Oman, Greg. “SMALL AND LARGE IDEALS OF AN ASSOCIATIVE RING.” Journal of Algebra and its Applications, vol. 13, no. 05, Oct. 2013, p. 1350151. https://doi.org/10.1142/S021949881350151X.