Zobrazeno 1 - 10
of 45
pro vyhledávání: '"KIYOICHI OSHIRO"'
Autor:
Yoshitomo Baba, Kiyoichi Oshiro
Quasi-Frobenius rings and Nakayama rings were introduced by T Nakayama in 1939. Since then, these classical artinian rings have continued to fascinate ring theorists with their abundance of properties and structural depth. In 1978, M Harada introduce
Ring theory has been developing through the interaction between the investigation of its own algebraic structure and its application to many areas of mathematics, computer science, and physics among others.This volume consists of a collection of surv
Autor:
KIYOICHI OSHIRO1 oshiro@yamaguchi-u.ac.jp
Publikováno v:
Contemporary Ring Theory 2011 - Proceedings of the Sixth China-Japan-Korea International Conference on Ring Theory. 2012, p155-164. 10p.
Autor:
Isao Kikumasa, Kiyoichi Oshiro
Publikováno v:
Journal of Algebra and Its Applications. 21
In 1843, Hamilton (1805–1865) discovered the 4-dimensional division algebra [Formula: see text] over the field [Formula: see text] of real numbers. Hamilton’s big discovery is the following beautiful multiplications for the basis [Formula: see te
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d8b53aa822e7c48e9cf5f28b1330811d
https://doi.org/10.1142/s021949882250219x
https://doi.org/10.1142/s021949882250219x
Autor:
Kiyoichi Oshiro, Gangyong Lee
Publikováno v:
Frontiers of Mathematics in China. 12:143-155
In this paper, for rings R, we introduce complex rings ℂ(R), quaternion rings ℍ(R), and octonion rings O(R), which are extension rings of R; R ⊂ ℂ(R) ⊂ ℍ(R) ⊂ O(R). Our main purpose of this paper is to show that if R is a Frobenius alge
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4a81e38cd47e60290853d3121fff9ad7
https://doi.org/10.1007/s11464-016-0571-6
https://doi.org/10.1007/s11464-016-0571-6
Autor:
Kiyoichi Oshiro, Kazutoshi Koike
Publikováno v:
Frontiers of Mathematics in China. 11:933-947
Is a semiprimary right self-injective ring a quasi-Frobenius ring? Almost half century has passed since Faith raised this problem. He first conjectured “No” in his book Algebra II. Ring Theory in 1976, but changing his mind, he conjectured “Yes
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7d6f6d96ec607f582c80786485a370ca
https://doi.org/10.1007/s11464-016-0549-4
https://doi.org/10.1007/s11464-016-0549-4
Publikováno v:
Communications in Algebra. 40:4639-4660
We study local artinian (not necessarily commutative) rings of split type and give a construction of those rings. Using our construction, we present various examples of local QF rings of split type and of graded or non-graded type.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::84b46460f5952fb6258b4b5fd33a3c53
https://doi.org/10.1080/00927872.2011.614667
https://doi.org/10.1080/00927872.2011.614667
Publikováno v:
Communications in Algebra. 26:3497-3510
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b44fb7b56ccd12d9b1d18df128172c71
https://doi.org/10.1080/00927879808826355
https://doi.org/10.1080/00927879808826355
Autor:
Kiyoichi Oshiro, Yoshitomo Baba
Publikováno v:
Journal of Algebra. 154:86-94
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f8b3226088bf97e8cc7a15310049de28
https://doi.org/10.1006/jabr.1993.1005
https://doi.org/10.1006/jabr.1993.1005
Autor:
Yoshitomo Baba, Kiyoichi Oshiro
Publikováno v:
Classical Artinian Rings and Related Topics
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bf65af9e7a4c1be629049cb9c687a4f4
https://doi.org/10.1142/9789814287258_0004
https://doi.org/10.1142/9789814287258_0004