Zobrazeno 1 - 10
of 14
pro vyhledávání: '"Isao Kikumasa"'
Publikováno v:
Communications in Algebra. 49:2326-2336
In this paper, we first introduce the concept of “factor-square-full” modules defined as follows: For any proper submodule X of M, there exist a proper submodule Y of M with X⊆Y and an epimorphism ...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f6b1612a80f029c387792f7a86051b8d
https://doi.org/10.1080/00927872.2020.1870997
https://doi.org/10.1080/00927872.2020.1870997
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
Publikováno v:
Communications in Algebra. 46:3365-3376
A module M is said to be square free if whenever its submodule is isomorphic to N2 = N⊕N for some module N, then N = 0. Dually, a module M is said to be d-square free (dual square free) if whenever its factor module is isomorphic to N2 for some mod
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0b286e8cfcabf71fe01ffbc872840f35
https://doi.org/10.1080/00927872.2017.1412449
https://doi.org/10.1080/00927872.2017.1412449
Autor:
Isao Kikumasa, Yosuke Kuratomi
Publikováno v:
Communications in Algebra. 46:2063-2072
In 1971, Koehler [11] proved a structure theorem for quasi-projective modules over right perfect rings by using results of Wu–Jans [22]. Later Mohamed–Singh [17] studied discrete modules over right perfect rings and gave decomposition theorems fo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1faabf55551c7c4a09b2e3e646379e0f
https://doi.org/10.1080/00927872.2017.1372451
https://doi.org/10.1080/00927872.2017.1372451
Publikováno v:
Communications in Algebra. 44:5299-5308
In this paper, we consider a direct projective H-supplemented module which is a generalization of a discrete module (cf. [11, 16]). We prove that any direct projective H-supplemented module satisfies the exchange property and also shows that if M1 an
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7544bd526ae00a0a55132b9e550eee2c
https://doi.org/10.1080/00927872.2016.1172598
https://doi.org/10.1080/00927872.2016.1172598
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
Autor:
Isao Kikumasa, Hiroshi Yoshimura
Publikováno v:
Communications in Algebra. 31:1837-1858
We present “canonical forms” of finite dimensional (quasi-Frobenius) commutative algebras Λ over a field k such that the radical cubed is zero and Λ modulo the radical is a product of copies of k. We also determine the isomorphism classes of th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e08d4967f11f5a1a89834efe4fde4bbf
https://doi.org/10.1081/agb-120018511
https://doi.org/10.1081/agb-120018511
Autor:
Isao Kikumasa
Publikováno v:
Canadian Journal of Mathematics. 42:949-958
Throughout this paper, all rings have the identity 1 and ring homomorphisms are assumed to preserve 1. We use p to denote a prime integer and F to denote a field of characteristic p. For an element α in F, we setA = F[ϰ]/(ϰp - α)F[ϰ].Moreover, b
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::994adc964cc804749a44fd110f2ee0c8
https://doi.org/10.4153/cjm-1990-050-0
https://doi.org/10.4153/cjm-1990-050-0
Publikováno v:
Journal of Algebra and Its Applications. 12:1250166
We show that the local–global principle (Hasse principle) holds for isomorphisms between commutative local QF algebras over ℚ of dimension five with radical cubed zero, and obtain a criterion for them to be isomorphic by the Hilbert symbol or the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1500e44c50ff96a94a4099637d34c87c
https://doi.org/10.1142/s0219498812501666
https://doi.org/10.1142/s0219498812501666
Publikováno v:
Applied Categorical Structures; Apr2008, Vol. 16 Issue 1/2, p297-310, 14p