Fanggui Wang
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View article: Spin‐Lattice Coupled Metamagnetism in Frustrated van der Waals Magnet CrOCl (Small 33/2023)
Spin‐Lattice Coupled Metamagnetism in Frustrated van der Waals Magnet CrOCl (Small 33/2023) Open
2D Antiferromagnetic Semiconductors Distinct from the established spin-flop type metamagnetism, in article number 2300964, Yi Zheng, Jinbo Yang, Yunhao Lu, Chenqiang Hua, and co-workers report the unconventional spin-lattice interlocked me…
View article: Uniformly $S$-Noetherian rings
Uniformly $S$-Noetherian rings Open
Let $R$ be a ring and $S$ a multiplicative subset of $R$. Then $R$ is called a uniformly $S$-Noetherian ($u$-$S$-Noetherian for abbreviation) ring provided there exists an element $s\in S$ such that for any ideal $I$ of $R$, $sI \subseteq …
View article: Metamagnetic Transitions in Few-Layer CrOCl Controlled by Magnetic Anisotropy Flipping
Metamagnetic Transitions in Few-Layer CrOCl Controlled by Magnetic Anisotropy Flipping Open
The pivotal role of magnetic anisotropy in stabilising two-dimensional (2D) magnetism has been widely accepted, however, direct correlation between magnetic anisotropy and long-range magnetic ordering in the 2D limit is yet to be explored.…
View article: The small finitistic dimensions over commutative rings
The small finitistic dimensions over commutative rings Open
Let $R$ be a commutative ring with identity. The small finitistic dimension $\fPD(R)$ of $R$ is defined to be the supremum of projective dimensions of $R$-modules with finite projective resolutions. In this paper, we characterize a ring $R…
View article: The small finitistic dimensions of commutative rings
The small finitistic dimensions of commutative rings Open
Let $R$ be a commutative ring with identity. The small finitistic dimension $\fPD(R)$ of $R$ is defined to be the supremum of projective dimensions of $R$-modules with finite projective resolutions. In this paper, we characterize a ring $R…
View article: A new version of a theorem of Kaplansky
A new version of a theorem of Kaplansky Open
A well-known theorem of Kaplansky states that any projective module is a direct sum of countably generated modules. In this paper, we prove the $w$-version of this theorem, where $w$ is a hereditary torsion theory for modules over a commut…
View article: A HALF-CENTERED STAR-OPERATION ON AN INTEGRAL DOMAIN
A HALF-CENTERED STAR-OPERATION ON AN INTEGRAL DOMAIN Open
In this paper, we study the natural star-operation defined by the set of associated primes of principal ideals of an integral domain, which is called the g-operation. We are mainly concerned with the ideal-theoretic properties of this star…
View article: Super Finitely Presented Modules and Gorenstein Projective Modules
Super Finitely Presented Modules and Gorenstein Projective Modules Open
Let $R$ be a commutative ring. An $R$-module $M$ is said to be super finitely\npresented if there is an exact sequence of $R$-modules $\\cdots\\rightarrow\nP_n\\rightarrow\\cdots \\rightarrow P_1\\rightarrow P_0\\rightarrow M\\rightarrow 0…
View article: ON PIECEWISE NOETHERIAN DOMAINS
ON PIECEWISE NOETHERIAN DOMAINS Open
In this paper, we study piecewise Noetherian (resp., piecewise w-Noetherian) properties in several settings including flat (resp., t-flat) overrings, Nagata rings, integral domains of finite character (resp., w-finite character), pullbacks…