Results 21 to 30 of about 1,155 (65)
Intersections of essential minimal prime ideals [PDF]
, 2013 Let $\mathcal{Z(R)}$ be the set of zero divisor elements of a commutative ring $R$ with identity and $\mathcal{M}$ be the space of minimal prime ideals of $R$ with Zariski topology. An ideal $I$ of $R$ is called strongly dense ideal or briefly $sd$-ideal
Taherifar, A.
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On Krull′s intersection theorem of fuzzy ideals
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 4, Page 251-262, 2003., 2003 We deal with Krull′s intersection theorem on the ideals of a commutative Noetherian ring in the fuzzy setting. We first characterise products of finitely generated fuzzy ideals in terms of fuzzy points. Then, we study the question of uniqueness and existence of primary decompositions of fuzzy ideals.
V. Murali, B. B. Makamba
wiley +1 more source
On the Genus of the Co-Annihilating Graph of Commutative Rings
Discussiones Mathematicae - General Algebra and Applications, 2019 Let R be a commutative ring with identity and 𝒰R be the set of all nonzero non-units of R. The co-annihilating graph of R, denoted by 𝒞𝒜R, is a graph with vertex set 𝒰R and two vertices x and y are adjacent whenever ann(x) ∩ ann(y) = (0).
Selvakumar K., Karthik S.
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Nagata rings and directed unions of Artinian subrings
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 71, Page 4465-4471, 2003., 2003 We investigate when a Nagata ring R(X) can be written as a directed union of Artinian subrings. For a family of zero‐dimensional rings {Rα} α∈A, we show that ∏α∈ARα(Xα) is not a directed sum of Artinian subrings.
D. Karim
wiley +1 more source
The GCD property and irreduciable quadratic polynomials
International Journal of Mathematics and Mathematical Sciences, Volume 9, Issue 4, Page 749-752, 1986., 1986 The proof of the following theorem is presented: If D is, respectively, a Krull domain, a Dedekind domain, or a Prüfer domain, then D is correspondingly a UFD, a PID, or a Bezout domain if and only if every irreducible quadratic polynomial in D[X] is a prime element.
Saroj Malik +2 more
wiley +1 more source
The containment problem and a rational simplicial arrangement
, 2017 Since Dumnicki, Szemberg and Tutaj-Gasi\'nska gave in 2013 in [9] the first example of a set of points in the complex projective plane such that for its homogeneous ideal I the containment of the third symbolic power in the second ordinary power fails ...
Malara, G., Szpond, J.
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A short proof of a result of Katz and West
, 2019 We give a short proof of a result due to Katz and West: Let $R$ be a Noetherian ring and $I_1,\ldots,I_t$ ideals of $R$. Let $M$ and $N$ be finitely generated $R$-modules and $N' \subseteq N$ a submodule.
Ghosh, Dipankar, Puthenpurakal, Tony J.
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Fine‐scale reconstruction of pelagic fish migration by iso‐logging of eye lens
Methods in Ecology and Evolution, Volume 17, Issue 1, Page 77-84, January 2026.Abstract Understanding lifetime space use by pelagic animals is pivotal for ecology and fisheries management, but electronic tags are costly, labour‐intensive and rarely able to capture juvenile movement. We implemented an iso‐logging workflow that converts stable isotope chronologies in eye lenses into continuous migration tracks, and demonstrate its ...
Jun Matsubayashi +8 more
wiley +1 more source
Noetherian rings of composite generalized power series
Open MathematicsLet A⊆BA\subseteq B be an extension of commutative rings with identity, (S,≤)\left(S,\le ) a nonzero strictly ordered monoid, and S*=S\{0}{S}^{* }\left=S\backslash \left\{0\right\}.
Oh Dong Yeol
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Zero-Dimensionality and Serre Rings [PDF]
, 2004 2000 Mathematics Subject Classification: Primary 13A99; Secondary 13A15, 13B02, 13E05.This paper deals with zero-dimensionality. We investigate the problem of whether a Serre ring R is expressible as a directed union of Artinian ...
Karim, D.
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