Results 51 to 60 of about 486,078 (247)
Generalized stretched ideals and Sally Conjecture [PDF]
, 2014 We introduce the concept of $j$-stretched ideals in a Noetherian local ring. This notion generalizes to arbitrary ideals the classical notion of stretched $\mathfrak{m}$-primary ideals of Sally and Rossi-Valla, as well as the concept of ideals of minimal
Mantero, Paolo, Xie, Yu
core
Quasi-Gorensteinness of extended Rees algebras
, 2017 Let $R$ be a Noetherian local ring and $I$ an $R$-ideal. It is well-known that if the associated graded ring $\gr_I(R)$ is Cohen-Macaulay (Gorenstein), then so is $R$, but the converse is not true in general.
Kim, Youngsu
core +1 more source
The regularity of Tor and graded Betti Numbers [PDF]
, 2004 Let S = K[x1, . . . , xn], let A, B be finitely generated graded S-modules, and let m = (x1, . . . , xn) ⊂ S. We give bounds for the regularity of the local cohomology of Tork (A, B) in terms of the graded Betti numbers of A and B, under the assumption ...
D. Eisenbud, C. Huneke, B. Ulrich
semanticscholar +1 more source
Molecular Oncology, EarlyView.Aptamers are used both therapeutically and as targeting agents in cancer treatment. We developed an aptamer‐targeted PLGA–TRAIL nanosystem that exhibited superior therapeutic efficacy in NOD/SCID breast cancer models. This nanosystem represents a novel biotechnological drug candidate for suppressing resistance development in breast cancer.
Gulen Melike Demirbolat +8 more
wiley +1 more source
Z2-Graded Polynomial Identities for Superalgebras of Block-Triangular Matrices [PDF]
, 2004 000 Mathematics Subject Classification: Primary 16R50, Secondary 16W55.We present some results about the Z2-graded polynomial identities of block-triangular matrix superalgebras R[[A M],[0 B]].
Di Vincenzo, Onofrio
core
Multiplicity bounds in graded rings
, 2010 The $F$-threshold $c^J(\a)$ of an ideal $\a$ with respect to an ideal $J$ is a positive characteristic invariant obtained by comparing the powers of $\a$ with the Frobenius powers of $J$.
Huneke, Craig +2 more
core +1 more source
Regularity defect stabilization of powers of an ideal [PDF]
, 2011 When I is an ideal of a standard graded algebra S with homogeneous maximal ideal \mm, it is known by the work of several authors that the Castelnuovo-Mumford regularity of I^m ultimately becomes a linear function dm + e for m \gg 0.
David Berlekamp
semanticscholar +1 more source
Molecular Oncology, EarlyView.RNA profiling of circulating extracellular vesicles (EVs) from blood samples of men undergoing prostate biopsy identifies transcripts associated with clinically significant prostate cancer. Integrative analysis with public tumor datasets links EV‐derived gene signatures to tumor stage and progression‐free survival, highlighting CASP3, XRCC2, and RIT1 ...
Stefan Werner +14 more
wiley +1 more source
On a non-vanishing conjecture of Kawamata and the core of an ideal [PDF]
, 2003 We show, under suitable hypothesis which are sharp in a certain sense, that the core of an m-primary ideal in a regular local ring of dimension d is equal to the adjoint (or multiplier) ideal of its d-th power.
Eero Hyry, Karen E. Smith
semanticscholar +1 more source
Molecular cancer prevention: Intercepting disease
Molecular Oncology, EarlyView.Oncological practice must evolve, from treating established tumours to proactive cancer interception before clinical manifestation. This will require mechanistic insight into tumour initiation, validated biomarkers of early disease development and redesigned clinical trials, enabling cancer interception to become a core pillar of oncology with the ...
Charlotte Grieco +2 more
wiley +1 more source