Results 81 to 90 of about 23,078 (295)
On sM-Prime Ideals in Commutative Rings
AxiomsAll rings considered are commutative with identity, and all modules are assumed to be unital. In this paper, we study R-modules in which every quasi-primary submodule is also primary; we refer to such modules as satisfying condition (*).
Gülşen Ulucak +3 more
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On f - prime radical in ordered semigroups
Open Mathematics, 2018 In this paper, we introduce the concepts of f-prime ideals, f-semiprime ideals and f-prime radicals in ordered semigroups. Furthermore, some results on f-prime radicals and f-primary decomposition of an ideal in an ordered semigroup are obtained.
Gu Ze
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Primary Decomposition of Ideals of Lattice Homomorphisms
The Electronic Journal of Combinatorics, 2018 For two given finite lattices $L$ and $M$, we introduce the ideal of lattice homomorphism $J(L,M)$, whose minimal monomial generators correspond to lattice homomorphisms $\phi : L\to M$. We show that $L$ is a distributive lattice if and only if the equidimensinal part of $J(L,M)$ is the same as the equidimensional part of the ideal of poset ...
Leila Sharifan +2 more
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Primary Ideals and Primary Modules over Noncommutative Rings [PDF]
, 2010 The concepts of prime ideals and prime modules were introduced over noncommutative rings. In this article we generalize these concepts and introduce the concepts of primary ideals and primary modules over noncommutative rings.
Ashour, Arwa E.
core
FEBS Open Bio, EarlyView.Pharmacological inhibition of PERK in a DEN‐induced mouse model of liver cancer does not reduce tumor burden but alters cellular stress signaling. Despite blocking PERK activity, downstream stress responses, including CHOP expression, remain active, suggesting compensatory mechanisms within the unfolded protein response that may influence tumor ...
Ada Lerma‐Clavero +5 more
wiley +1 more source
Prime and primary ideals in semirings
Osaka Journal of Mathematics, 2015 We study zero divisors and minimal prime ideals in semirings of characteristic one. Thereafter we find a counterexample to the most obvious version of primary decomposition, but are able to establish a weaker version. Lastly, we study Evans'condition in this context.
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Localization and Primary Decomposition of Polynomial Ideals
Journal of Symbolic Computation, 1996 The authors give a new algorithm for primary decomposition of a polynomial ideal. Let \(I\) be an ideal of the polynomial ring \(R=\mathbb{Q}[x_1,\dots,x_n]\) over the rational numbers. An ideal is called pseudo-primary, if its radical is a prime ideal. The methods are described roughly as follows.
Takeshi Shimoyama, Kazuhiro Yokoyama
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Versatile vector tools for efficient protein screening across multiple expression systems
FEBS Open Bio, EarlyView.A unified vector toolkit enables rapid protein expression screening across E. coli, insect, and mammalian cells. A single primer pair amplifies the target gene, which is inserted into any vector via a standardized interface. This streamlined workflow eliminates repeated cloning steps, accelerating the identification of optimal expression conditions for
Zhimin Zhu +5 more
wiley +1 more source
Aquaporin‐3 and aquaporin‐5 impact the development of pancreatic ductal adenocarcinoma spheroids
FEBS Open Bio, EarlyView.Schematic representation of the role of aquaporin‐3 (AQP3) and aquaporin‐5 (AQP5) in pancreatic ductal adenocarcinoma (PDAC). Both proteins are upregulated in PDAC and are associated with tumor progression and metastatic potential. Silencing AQP3 or AQP5 in PDAC spheroids results in decreased diameter, area, and overall growth, underscoring their key ...
Catarina Pimpão +3 more
wiley +1 more source
FEBS Open Bio, EarlyView.TisIBP8, a fungal‐derived hyperactive ice‐binding protein, helps Caenorhabditis elegans survive dehydration. It localizes near cell membranes, reduces cell damage, and helps maintain membrane structure during drying. These results suggest that ice‐binding proteins can protect cells from dehydration stress as well as freezing stress.
Daiki Shimose +9 more
wiley +1 more source