Results 11 to 20 of about 55 (51)

Zariski topology on the spectrum of fuzzy classical primary submodules [PDF]

, 2022
[EN] Let R be a commutative ring with identity and M a unitary R-module. The fuzzy classical primary spectrum F cp.spec(M) is the collection of all fuzzy classical primary submodules A of M, the recent generalization of fuzzy primary ideals and fuzzy ...
Panpho, Phakakorn, Yiarayong, Pairote
core   +1 more source

Zariski topology on the spectrum of graded classical prime submodules [PDF]

, 2013
[EN] Let R be a G-graded commutative ring with identity and let M be a graded R-module. A proper graded submodule N of M is called graded classical prime if for every a, b ¿ h(R), m ¿ h(M), whenever abm ¿ N, then either am ¿ N or bm ¿ N.
Shahram Motmaen, Yousefian Darani, Ahmad, Ahmad Yousefian Darani, Motmaen, Shahram   +3 more
core   +1 more source

Prime Submodules of Graded Modules [PDF]

, 2013
Let G be a group, R be a G-graded ring and M be a G-graded R-module. Suppose P is a prime ideal of Reand g G G. In this article, we defineMg (P) = {m G Mg : Am C PMg for some ideal A of Re satisfying A C P}that is an Re-submodule of Mg, and we ...
Bataineh, Malik, Abu-Dawwas, Rashid, Al-Zoubi, Khaldoun   +2 more
core   +1 more source

On graded n−absorbing submodules

Le Matematiche, 2015
Let G be a group with identity e. Let R be a G−graded commutative ring, M be a graded R−module and n be a positive integer. In this article, we introduce and study the concepts of graded n−absorbing submodules.
Mohammad Hamoda, Arwa Eid Ashour
doaj  

Phylogenetic constraints, conservatism, and convergence shape three‐dimensional variation in flower morphology of a tropical orchid radiation

The Plant Journal, Volume 126, Issue 3, May 2026.
SUMMARY Despite advances in phylogenetic comparative methods, challenges remain to distinguish between various macroevolutionary patterns of phenotypic variation (e.g., conservatism, convergence) and to infer their underlying proximate (genetic, developmental) or ultimate (selective versus neutral) causes.
Silvia Artuso, Alexander Gamisch, Yannick M. Staedler, Jürg Schönenberger, Hans Peter Comes   +4 more
wiley   +1 more source

Measuring birational derived splinters

Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.
Abstract This work is concerned with categorical methods for studying singularities. Our focus is on birational derived splinters, which is a notion that extends the definition of rational singularities beyond varieties over fields of characteristic zero. Particularly, we show that an invariant called ‘level’ in the associated derived category measures
Timothy De Deyn, Pat Lank, Kabeer Manali Rahul, Sridhar Venkatesh   +3 more
wiley   +1 more source

Lorentzian homogeneous structures with indecomposable holonomy

Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.
Abstract For a Lorentzian homogeneous space, we study how algebraic conditions on the isotropy group affect the geometry and curvature of the homogeneous space. More specifically, we prove that a Lorentzian locally homogeneous space is locally isometric to a plane wave if it admits an Ambrose–Singer connection with indecomposable, non‐irreducible ...
Steven Greenwood, Thomas Leistner
wiley   +1 more source

Traces of Hecke operators on Drinfeld modular forms for GL2(Fq[T])$\operatorname{GL}_2(\mathbb {F}_q[T])$

Mathematika, Volume 72, Issue 2, April 2026.
Abstract In this paper, we study traces of Hecke operators on Drinfeld modular forms of level 1 in the case A=Fq[T]$A = \mathbb {F}_q[T]$. We deduce closed‐form expressions for traces of Hecke operators corresponding to primes of degree at most 2 and provide algorithms for primes of higher degree.
Sjoerd de Vries
wiley   +1 more source

S3RL: Enhancing Spatial Single‐Cell Transcriptomics With Separable Representation Learning

Advanced Science, Volume 13, Issue 17, 23 March 2026.
Separable Spatial Representation Learning (S3RL) is introduced to enhance the reconstruction of spatial transcriptomic landscapes by disentangling spatial structure and gene expression semantics. By integrating multimodal inputs with graph‐based representation learning and hyperspherical prototype modeling, S3RL enables high‐fidelity spatial domain ...
Laiyi Fu, Penglei Wang, Gaoyuan Xu, Jitao Lu, Qinke Peng, Danyang Wu, Hequan Sun   +6 more
wiley   +1 more source

Equivariant toric geometry and Euler–Maclaurin formulae

Communications on Pure and Applied Mathematics, Volume 79, Issue 3, Page 451-557, March 2026.
Abstract We first investigate torus‐equivariant motivic characteristic classes of toric varieties, and then apply them via the equivariant Riemann–Roch formalism to prove very general Euler–Maclaurin‐type formulae for full‐dimensional simple lattice polytopes.
Sylvain E. Cappell, Laurenţiu Maxim, Jörg Schürmann, Julius L. Shaneson   +3 more
wiley   +1 more source