Zobrazeno 1 - 10
of 28
pro vyhledávání: '"Martine Picavet-L'Hermitte"'
Publikováno v:
Arabian Journal of Mathematics, Vol 7, Iss 4, Pp 249-271 (2018)
Externí odkaz:
https://doaj.org/article/7f4d6eef5f844ea681defa21a15a5147
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 2014 (2014)
Let R⊂S be an extension of commutative rings, with X an indeterminate, such that the extension RX⊂SX of Nagata rings has FIP (i.e., SX has only finitely many RX-subalgebras). Then, the number of RX-subalgebras of SX equals the number of R-subalge
Externí odkaz:
https://doaj.org/article/7de03826e3414486baef63160ebb7632
Publikováno v:
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bb3b353badac6b3e77936a90421188af
https://doi.org/10.1007/s13366-022-00650-2
https://doi.org/10.1007/s13366-022-00650-2
Publikováno v:
Volume: 29, Issue: 29 15-49
International Electronic Journal of Algebra
International Electronic Journal of Algebra
If $R\subseteq S$ is an extension of commutative rings, we consider the lattice $([R,S],\subseteq)$ of all the $R$-subalgebras of $S$. We assume that the poset $[R,S]$ is both Artinian and Noetherian; that is, $R\subseteq S$ is an FCP extension. The
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1ed5b1e341ac113a040c09f947240d0f
https://doi.org/10.24330/ieja.851985
https://doi.org/10.24330/ieja.851985
Publikováno v:
Communications in Algebra
Communications in Algebra, Taylor & Francis, 2020, 48 (5), pp.1821-1852. ⟨10.1080/00927872.2019.1708088⟩
Communications in Algebra, 2020, 48 (5), pp.1821-1852. ⟨10.1080/00927872.2019.1708088⟩
Communications in Algebra, Taylor & Francis, 2020, 48 (5), pp.1821-1852. ⟨10.1080/00927872.2019.1708088⟩
Communications in Algebra, 2020, 48 (5), pp.1821-1852. ⟨10.1080/00927872.2019.1708088⟩
We characterize extensions of commutative rings $R \subseteq S$ whose sets of subextensions $[R,S]$ are finite ({\it i.e.} $R\subseteq S$ has the FIP property) and are Boolean lattices, that we call Boolean FIP extensions. Some characterizations invo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0d2cdd647519e0cc1c44eaed43ac95bf
https://hal.archives-ouvertes.fr/hal-02982795
https://hal.archives-ouvertes.fr/hal-02982795
Publikováno v:
Arabian Journal of Mathematics, Vol 7, Iss 4, Pp 249-271 (2018)
We characterize pointwise minimal extensions of rings, introduced by Cahen et al. (Rocky Mt J Math 41:1081–1125, 2011), in the special context of domains. We show that pointwise minimal extensions are either integral or integrally closed. In the cl
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a54e1c500168b173becb6c16e7c67d66
http://link.springer.com/article/10.1007/s40065-018-0202-z
http://link.springer.com/article/10.1007/s40065-018-0202-z
We consider ring extensions, whose set of all subextensions is stable under the formation of sums, the so-called $$\Delta $$ Δ -extensions. An integrally closed extension has the $$\Delta $$ Δ -property if and only it is a Prüfer extension. We the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::471701ba28d035cc9c7216010214fb1e
Publikováno v:
Bollettino dell'Unione Matematica Italiana. 10:549-573
We study etale extensions of rings that have FIP.
Comment: The paper entitled FIP and FCP products of ring morphisms (arXiv: 1312.1250 [math.AC]) is now split into three papers. The present paper contains the last section of the original paper a
Comment: The paper entitled FIP and FCP products of ring morphisms (arXiv: 1312.1250 [math.AC]) is now split into three papers. The present paper contains the last section of the original paper a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8335d2ea36c2334482f30dc3df719ded
https://doi.org/10.1007/s40574-016-0088-7
https://doi.org/10.1007/s40574-016-0088-7
Publikováno v:
Volume: 28, Issue: 28 229-229
International Electronic Journal of Algebra
International Electronic Journal of Algebra
of the paper: "G. Picavet and M. Picavet-L'Hermitte, Modules with finitely many submodules, Int. Electron. J. Algebra, 19 (2016), 119-131.":We characterize ring extensions $R \subset S$ having FCP (FIP), where $S$ is the idealization of some $R$-modu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5583e80e8ec030f314b3167c7a785d27
https://doi.org/10.24330/ieja.768272
https://doi.org/10.24330/ieja.768272
Publikováno v:
Communications in Algebra. 43:1279-1316
For an extension E: R ⊂ S of (commutative) rings and the induced extension F: R(X) ⊂ S(X) of Nagata rings, the transfer of the FCP and FIP properties between E and F is studied. Then F has FCP ⇔ E has FCP. The extensions E for which F has FIP a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bdea71f3397902c0af57149f5234f11f
https://doi.org/10.1080/00927872.2013.856440
https://doi.org/10.1080/00927872.2013.856440