DSpace Collection:
https://scholars.lib.ntu.edu.tw/handle/123456789/29389
20200607T10:26:00Z

A note on inner and reflexive inverses in semiprime rings
https://scholars.lib.ntu.edu.tw/handle/123456789/430737
Title: A note on inner and reflexive inverses in semiprime rings
Authors: TSIUKWEN LEE
Abstract: © 2020 World Scientific Publishing Company. Let R be a semiprime ring, not necessarily with unity, and a,b R. Let I(a) (respectively, Ref(a)) denote the set of inner (respectively, reflexive) inverses of a in R. It is proved that if I(a) â I(b)â‰ â then I(a) âŠ I(b) if and only if b = awb = bwa for all w I(a). As an immediate consequence, if ââ‰ I(a) = I(b), then a = b (see Theorem 7 in [A. Alahmadi, S. K. Jain and A. Leroy, Regular elements determined by generalized inverses, J. Algebra Appl. 18(7) (2019) 1950128] for rings with unity). We also give a generalization of Theorem 10 in [A. Alahmadi, S. K. Jain and A. Leroy, Regular elements determined by generalized inverses, J. Algebra Appl. 18(7) (2019) 1950128] by proving that if ââ‰ Ref(a) âŠRef(b) then a = b.
20190101T00:00:00Z

Distance sets over arbitrary finite fields
https://scholars.lib.ntu.edu.tw/handle/123456789/430738
Title: Distance sets over arbitrary finite fields
Authors: Pham, Thang; Lee, Sujin; Koh, Doowon; CHUNYEN SHEN
Abstract: © 2019 by the University of Illinois at UrbanaChampaign. In this paper, we study the Erdős distinct distances problem for Cartesian product sets in the setting of arbitrary finite fields. More precisely, let Fq be an arbitrary finite field and A be a set in Fq. Suppose ǀAՈ (αG) ≤ ǀG ǀ1/2 for any subfield G and α ϵ F*q, then (Formula Presented) Using the same method, we also obtain some results on sumproduct type problems.
20191001T00:00:00Z

Selfsimilar solutions and translating solutions
https://scholars.lib.ntu.edu.tw/handle/123456789/428729
Title: Selfsimilar solutions and translating solutions
Authors: Lee, Y.I.; YNGING LEE
20110101T00:00:00Z

A correction to “the deformation of lagrangian minimal surfaces in kählereinstein surfaces”
https://scholars.lib.ntu.edu.tw/handle/123456789/428730
Title: A correction to “the deformation of lagrangian minimal surfaces in kählereinstein surfaces”
Authors: LEE, Y.I.; YNGING LEE
19990101T00:00:00Z