Zobrazeno 1 - 10
of 18
pro vyhledávání: '"Yosuke Kuratomi"'
Publikováno v:
Journal of Algebra and Its Applications.
A module [Formula: see text] is called [Formula: see text]-almost-invariant for a module [Formula: see text] if, for any homomorphism [Formula: see text], either [Formula: see text], or there exist nonzero direct summands [Formula: see text] of [Form
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cf16caa02675bc11577adc54c9f3d236
https://doi.org/10.1142/s0219498824500270
https://doi.org/10.1142/s0219498824500270
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:
Yosuke Kuratomi
Publikováno v:
Journal of Algebra and Its Applications. 20
A module [Formula: see text] is said to be lifting if, for any submodule [Formula: see text] of [Formula: see text], there exists a decomposition [Formula: see text] such that [Formula: see text] and [Formula: see text] is a small submodule of [Formu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::44bee3f31d0fc84fc411c8d3ff6b70bb
https://doi.org/10.1142/s0219498821501899
https://doi.org/10.1142/s0219498821501899
Autor:
Yosuke Kuratomi
Publikováno v:
Sibirskii matematicheskii zhurnal. 60:630-639
A module M is called dual automorphism invariant if whenever X1 and X2 are small submodules of M, then each epimorphism f : M/X1 → M/X2 lifts to an endomorphism g of M. A module M is said to be d-square free (dual square free) if whenever some fact
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7261f4e8cf17269791a5364e02d5588f
https://doi.org/10.33048/smzh.2019.60.311
https://doi.org/10.33048/smzh.2019.60.311
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:
Volume: 43, Issue: 3 1456-1473
Turkish Journal of Mathematics
Turkish Journal of Mathematics
In this paper we introduce the concept of im-summand coinvariance and im-small coinvariance; that is, a module $M$ over a right perfect ring is said to be im-summand (im-small) coinvariant if, for any endomorphism $\varphi$ of $P$ such that ${\rm Im}
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bca49d1877c98af2aaacf304fa0cac97
https://dergipark.org.tr/tr/pub/tbtkmath/issue/45655/575360
https://dergipark.org.tr/tr/pub/tbtkmath/issue/45655/575360
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
Autor:
Yosuke Kuratomi
Publikováno v:
Communications in Algebra. 44:2747-2759
In this article, we introduce a generalization of quasi-discrete (a GQD-module) by using the notion of H-supplemented modules and investigate some properties of GQD-modules. First we consider some properties of a relative radical projectivity which i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fa34029bb64d27e3e63511a062e02511
https://doi.org/10.1080/00927872.2015.1065839
https://doi.org/10.1080/00927872.2015.1065839
Autor:
Yosuke Kuratomi
Publikováno v:
Vietnam Journal of Mathematics. 44:315-328
A module M is said to be ${\mathcal {G}}$ -extending (Goldie extending) if, for any submodule X of M, there exist an essential submodule Y of X and a direct summand $M^{\prime }$ of M such that Y is essential in $M^{\prime }$ . A ${\mathcal {G}}$ -ex
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::822f894aa39ed678e144bd2dfcf6d042
https://doi.org/10.1007/s10013-015-0155-x
https://doi.org/10.1007/s10013-015-0155-x