Zobrazeno 1 - 10
of 14
pro vyhledávání: '"Shinya Kumashiro"'
Autor:
Shinya Kumashiro
Publikováno v:
Mathematische Nachrichten. 296:1983-1996
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4111f5e60633221363f05be30296750f
https://doi.org/10.1002/mana.202100329
https://doi.org/10.1002/mana.202100329
Autor:
Jürgen Herzog, Shinya Kumashiro
Publikováno v:
Archiv der Mathematik. 119:237-246
We study the upper bound of the colength of trace of the canonical module in one-dimensional Cohen-Macaulay rings. We answer the two questions posed by Herzog-Hibi-Stamate and Kobayashi.
9 pages
9 pages
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::19b1b336ff9bbc31926adb1adceb5330
https://doi.org/10.1007/s00013-022-01764-8
https://doi.org/10.1007/s00013-022-01764-8
We study one-dimensional Cohen-Macaulay rings whose trace ideal of the canonical module is as small as possible. In this paper we call such rings far-flung Gorenstein rings. We investigate far-flung Gorenstein rings in relation with the endomorphism
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::65bb23da57494baf1766c9ef48fe1835
https://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&origin=inward&scp=85146021987
https://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&origin=inward&scp=85146021987
Autor:
Reza Abdolmaleki, Shinya Kumashiro
Publikováno v:
Archiv der Mathematik. 116:637-645
This paper studies the numbers of minimal generators of powers of monomial ideals in polynomial rings. For a monomial ideal $I$ in two variables, Eliahou, Herzog, and Saem gave a sharp lower bound $��(I^2)\ge 9$ for the number of minimal generato
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::77387666de488727dbba29eb5d9f9322
https://doi.org/10.1007/s00013-021-01596-y
https://doi.org/10.1007/s00013-021-01596-y
Publikováno v:
Mathematische Zeitschrift. 299:1303-1330
In this paper we study graded Bourbaki ideals. It is a well-known fact that for torsionfree modules over Noetherian normal domains, Bourbaki sequences exist. We give criteria in terms of certain attached matrices for a homomorphism of modules to indu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0a7965a3650ada9db086d6f0c8e490c5
https://doi.org/10.1007/s00209-021-02724-8
https://doi.org/10.1007/s00209-021-02724-8
Let $R$ be a Noetherian ring. For a finitely generated $R$-module $M$, Northcott introduced the reducibility index of $M$, which is the number of submodules appearing in an irredundant irreducible decomposition of the submodule $0$ in $M$. On the oth
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::58000c8b94c400a2cdf17eb269a23bbf
http://arxiv.org/abs/2003.03953
http://arxiv.org/abs/2003.03953
Publikováno v:
J. Math. Soc. Japan 71, no. 4 (2019), 1269-1291
The Cohen–Macaulay type of idealizations of maximal Cohen–Macaulay modules over Cohen–Macaulay local rings is closely explored. There are two extremal cases, one of which is related to the theory of Ulrich modules, and the other one is related
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::32e6127fc9de08486f877efa0bc4905d
https://projecteuclid.org/euclid.jmsj/1560499223
https://projecteuclid.org/euclid.jmsj/1560499223
Autor:
Shinya Kumashiro
In a local Cohen-Macaulay ring $(A, \mathrm{m})$, we study the Hilbert function of an $\mathrm{m}$-primary ideal $I$ whose reduction number is two. It is a continuous work of the papers of Huneke, Ooishi, Sally, and Goto-Nishida-Ozeki. With some cond
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::44aebd3d1e6d3d696063d8bc64d24c73
This paper studies Ulrich ideals in one-dimensional Cohen-Macaulay local rings. A correspondence between Ulrich ideals and overrings is given. Using the correspondence, chains of Ulrich ideals are closely explored. The specific cases where the rings
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d4681284e3e354d8f25067ea5172ac6e
http://arxiv.org/abs/1804.06643
http://arxiv.org/abs/1804.06643
Over an arbitrary commutative ring , correspondences among three sets, the set of trace ideals, the set of stable ideals, and the set of birational extensions of the base ring, are studied. The correspondences are well-behaved, if the base ring is a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f43c089157e98a2dade1cce0ee34d058
http://arxiv.org/abs/1802.08409
http://arxiv.org/abs/1802.08409