Results 21 to 30 of about 71,303 (219)
International Journal of Mathematical Analysis, 2014 Let G be an arbitrary group with identity e and let R be a G-graded commutative ring. In this paper, we introduce the concept of graded quasi-prime ideal and we give a number of results concerning such ideals. In fact, our objective is to investigate graded quasi-prime ideals and examine in particular when graded ideals of R are graded quasi-prime ...
Khaldoun Al-Zoubi, Rashid Abu-Dawwas
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Properties of ϕ-Primal Graded Ideals
Journal of Mathematics, 2017 Let R be a commutative graded ring with unity 1≠0. A proper graded ideal of R is a graded ideal I of R such that I≠R. Let ϕ:I(R)→I(R)∪{∅} be any function, where I(R) denotes the set of all proper graded ideals of R.
Ameer Jaber
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Graded prime ideals over graded Lie algebras
, 2023 In this work, we extend the definition of the graded prime ideals from those in commutative graded rings to the ideals over graded Lie algebras. We prove some facts about graded prime Lie ideals in arbitrary Lie algebras that are similar to those about graded prime ideals over a commutative or non-commutative ring.In addition, the ideas of graded ...
openaire +2 more sources
Control subgroups and birational extensions of graded rings
International Journal of Mathematics and Mathematical Sciences, 1999 In this paper, we establish the relation between the concept of control subgroups and the class of graded birational algebras. Actually, we prove that if R=⊕σ∈GRσ is a strongly G-graded ring and H⊲G, then the embedding i:R(H)↪R, where R(H)=⊕σ∈HRσ, is a ...
Salah El Din S. Hussein
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J. Sally's question and a conjecture of Y. Shimoda
, 2012 In 2007, Y. Shimoda, in connection with a long-standing question of J. Sally, asked whether a Noetherian local ring, such that all its prime ideals different from the maximal ideal are complete intersections, has Krull dimension at most two.
Bruns +10 more
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On the existence of $F$-thresholds and related limits
, 2017 The $F$-thresholds are important numerical invariants in prime characteristic, whose existence had been established only under certain assumptions. We show the existence of $F$-thresholds in full generality.
De Stefani, Alessandro +2 more
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Stratifying derived categories of cochains on certain spaces
, 2011 In recent years, Benson, Iyengar and Krause have developed a theory of stratification for compactly generated triangulated categories with an action of a graded commutative Noetherian ring.
A. Lazarev +16 more
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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
The stable set of associated prime ideals of a squarefree principal Borel ideal [PDF]
, 2013 It is shown that a squarefree principal Borel ideal satisfies the persistence property for the associated prime ideals. For the graded maximal ideal we compute the index of stability with respect to squarefree principal Borel ideals and determine their ...
Aslam, Adnan
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
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