DSpace Collection:
https://scholars.lib.ntu.edu.tw/handle/123456789/29389
2020-02-28T04:19:12Z
2020-02-28T04:19:12Z
Distance sets over arbitrary finite fields
Pham, Thang
Lee, Sujin
Koh, Doowon
CHUN-YEN SHEN
https://scholars.lib.ntu.edu.tw/handle/123456789/430738
2019-11-26T01:42:07Z
2019-10-01T00:00:00Z
Title: Distance sets over arbitrary finite fields
Authors: Pham, Thang; Lee, Sujin; Koh, Doowon; CHUN-YEN SHEN
Abstract: © 2019 by the University of Illinois at Urbana-Champaign. 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 sum-product type problems.
2019-10-01T00:00:00Z
A note on inner and reflexive inverses in semiprime rings
TSIU-KWEN LEE
https://scholars.lib.ntu.edu.tw/handle/123456789/430737
2019-11-26T01:42:07Z
2019-01-01T00:00:00Z
Title: A note on inner and reflexive inverses in semiprime rings
Authors: TSIU-KWEN 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.
2019-01-01T00:00:00Z
A correction to “the deformation of lagrangian minimal surfaces in kähler-einstein surfaces”
LEE, Y.-I.
YNG-ING LEE
https://scholars.lib.ntu.edu.tw/handle/123456789/428730
2019-10-28T03:31:29Z
1999-01-01T00:00:00Z
Title: A correction to “the deformation of lagrangian minimal surfaces in kähler-einstein surfaces”
Authors: LEE, Y.-I.; YNG-ING LEE
1999-01-01T00:00:00Z
Self-similar solutions and translating solutions
Lee, Y.-I.
YNG-ING LEE
https://scholars.lib.ntu.edu.tw/handle/123456789/428729
2019-10-28T03:21:49Z
2011-01-01T00:00:00Z
Title: Self-similar solutions and translating solutions
Authors: Lee, Y.-I.; YNG-ING LEE
2011-01-01T00:00:00Z