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Published Papers 【 display / non-display 】

• A Mock School with Children in a Teacher Training Couse -The "Kokku-San Gakko" initiative -

  Yasukazu Yamashiro, Atsuko Hagino

  Transactions of Mathematical Education for Colleges and Universities ( Japan Society of Mathematical Education Divission of Colleges and Universities )  29 ( 1 ) 57 - 64   2023.03 [ Peer Review Accepted ]

  Type of publication: Research paper (scientific journal)

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  The "Kokku-San Gakko" is a mock school run by university students acting as "teachers" for 30 to 40 elementary school children living near the university. It is a very vigorous activity and has produced great results for the participating students and children. Here we report on 13 years of activities in which students interacted with the children.

• HIRATA SEPARABLE EXTENSION OVER THE DESCENDING CHAIN OF SUBRINGS

  その他の著者

  Vol.24 (2011) ( Department of Mathematical Science, Faculty of Science, University of the Ryukyus )  24   117 - 121   2012.03

  Type of publication: Research paper (bulletin of university, research institution)

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  In [5], we considered the equivalent class of desending chains of subrings. In this note, we consider Hirata separable extension (H-separable extension) over the desending chain of subrings. Let Λ be a ring, Γ a subring of Λ, C the center of Λ and Δ the commutater of Γ in Λ. Λ is a Hirata separabale extension over Γ if and only if Δ is C-finitely generated projective and Λ ?_γ Λ ? Hom_c(Δ , Λ) by the map a ? b → [d → adb], where a ? b ∈ Λ ?_γ Λ and d ∈ Δ (Theorem 1.1 in [3]). （管理者追加）リポジトリ登録情報を移行しました。確認のうえ、加除修正をしてください。

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• On equivalent class of descending chains of subrings

  その他の著者

  Vol.23 (2010) ( Department of Mathematical Science, Faculty of Science, University of the Ryukyus )  23   117 - 120   2011.02

  Type of publication: Research paper (bulletin of university, research institution)

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  In this note we consider the generalization of vertex of finite groups to noncommutative rings. Let K be a field with characteristic p, and G a finite group. For an indecomposable KG-module V, a p-subgroup P of G is vertex of V if P satisfies the following conditions:(a) V is P-projective (b) For any subgroup H of G, if V is H -projective then there exist t ∈ G such that P^t ∈ H. （管理者追加）リポジトリ登録情報を移行しました。確認のうえ、加除修正をしてください。

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• A note on endomorphism rings of H-separable extensions

  その他の著者

  Vol.6 (1993) ( Department of Mathematical Sciences, College of Science, University of the Ryukyus )  6   79 - 85   2010.01

  Type of publication: Research paper (bulletin of university, research institution)

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  （管理者追加）リポジトリ登録情報を移行しました。確認のうえ、加除修正をしてください。

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• Ring extensions and endomorphism rings of module

  Kazuhiko HIRATA, Yasukazu YAMASHIRO

  Tsukuba Journal of Mathematics   17 ( 1 ) 77 - 84   1993 [ Peer Review Accepted ]

  Type of publication: Research paper (scientific journal)