Results 31 to 40 of about 443,027 (142)
On FI-mono-retractable modules [PDF]
, 2022 summary:We introduce the notion of FI-mono-retractable modules which is a generalization of compressible modules. We investigate the properties of such modules.
Talebi, Yahya, Atashkar, Marziyeh
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Results in Injective Envelope and Indecomposable Injective Modules
پژوهشهای ریاضی, 2021 Introduction Throughout this paper, is a commutative ring with non-zero identity and is an -module. The study of injective modules is very important in commutative algebra and homological Algebra.
Masoumeh Hasanzad +2 more
doaj
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2013 In this paper we provide various properties of Rad-⊕-supplemented modules. In particular, we prove that a projective module M is Rad- ⊕-supplemented if and only if M is ⊕-supplemented, and then we show that a commutative ring R is an artinian serial ring
Türkmen Ergül
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Proceedings of the Japan Academy, Series A, Mathematical Sciences, 1986 For an ideal I of a commutative Noetherian ring R and Artinian R-module A, the author defines the I-codepth of A to be the I-dimension of A, as defined by \textit{E. Matlis} [Trans. Am. Math. Soc. 97, 495-508 (1961; Zbl 0094.252)]. The author shows that it can be characterized by vanishing of certain Ext-groups and obtains some basic inequalities for ...
openaire +3 more sources
The Boolean spectrum of a Grothendieck category
Journal of the London Mathematical Society, Volume 114, Issue 4, October 2026.Abstract A notion of support for objects in any Grothendieck category is introduced. This is based on the spectral category of a Grothendieck category and uses its Boolean lattice of localising subcategories. The support provides a classification of all subcategories that are closed under arbitrary coproducts, subobjects, and essential extensions ...
Henning Krause
wiley +1 more source
NON-PARALLEL KRULL DIMENSION OF MODULES [PDF]
Journal of Algebraic SystemsIn this paper, the concept of non-parallel Krull (resp., Noetherian) dimension of an $ R $-module are introduced and some related properties are investigated.
Nasrin Shirali, Mohammad Maschizadeh
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Between Survival and Sacrifice: Marital Experiences of Patients Undergoing Hemodialysis
Nursing &Health Sciences, Volume 28, Issue 3, September 2026.ABSTRACT The study aimed to explore the lived experiences of married dialysis patients on the national organ waiting list, focusing on the interplay between illness, familial roles, and societal norms. This research is a qualitative study using semi‐structured interviews and participant observation.
Seher Çakmak, Hicran Karataş
wiley +1 more source
Remarks on subcategories of Artinian modules
Illinois Journal of Mathematics, 2012 We study two subcategories of the category of artinian modules, a wide subcategory and a Serre subcategory. We prove that all wide subcategories of artinian modules are Serre subcategories. We also provide the bijection between the set of Serre subcategories and the set of specialization closed subsets of the set of closed prime ideals of some ...
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h$h$‐Function, Hilbert–Kunz density function and Frobenius–Poincaré function
Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.Abstract Given ideals I,J$I,J$ of a noetherian local ring (R,m)$(R, \mathfrak {m})$ such that I+J$I+J$ is m$\mathfrak {m}$‐primary and a finitely generated R$R$‐module M$M$, we associate an invariant of (M,R,I,J)$(M,R,I,J)$ called the h$h$‐function.
Cheng Meng, Alapan Mukhopadhyay
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Localization sequences for logarithmic topological cyclic homology
Journal of Topology, Volume 19, Issue 3, September 2026.Abstract We introduce the notion of an Ek$\mathbb {E}_k$‐ring with prelogarithmic structure, define logarithmic topological Hochschild homology and logarithmic topological cyclic homology in this context, and establish localization sequences for these theories. Our approach is based on Thom R$R$‐algebras.
John Rognes +2 more
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