Results 11 to 20 of about 224 (25)
Chain conditions on composite Hurwitz series rings
Open Mathematics, 2017 In this paper, we study chain conditions on composite Hurwitz series rings and composite Hurwitz polynomial rings. More precisely, we characterize when composite Hurwitz series rings and composite Hurwitz polynomial rings are Noetherian, S-Noetherian or ...
Lim Jung Wook, Oh Dong Yeol
doaj +1 more source
A note on the countable union of prime submodules
International Journal of Mathematics and Mathematical Sciences, Volume 27, Issue 10, Page 641-643, 2001., 2001 Let M be a finitely‐generated module over a Noetherian ring R. Suppose 𝔞 is an ideal of R and let N = 𝔞M and 𝔟 = Ann(M/N). If 𝔟⫅J(R), M is complete with respect to the 𝔟‐adic topology, {Pi} i≥1 is a countable family of prime submodules of M, and x ∈ M, then x + N⫅∪i≥1Pi implies that x + N⫅Pj for some i ≥ 1.
M. R. Pournaki, M. Tousi
wiley +1 more source
Universally catenarian domains of D + M type, II
International Journal of Mathematics and Mathematical Sciences, Volume 14, Issue 2, Page 209-214, 1991., 1991 Let T be a domain of the form K + M, where K is a field and M is a maximal ideal of T. Let D be a subring of K such that R = D + M is universally catenarian. Then D is universally catenarian and K is algebraic over k, the quotient field of D. If [K : k] < ∞, then T is universally catenarian.
David E. Dobbs, Marco Fontana
wiley +1 more source
On the annihilators and attached primes of top local cohomology modules [PDF]
, 2014 Let \frak a be an ideal of a commutative Noetherian ring R and M a finitely generated R-module. It is shown that {\rm Ann}_R(H_{\frak a}^{{\dim M}({\frak a}, M)}(M))= {\rm Ann}_R(M/T_R({\frak a}, M)), where T_R({\frak a}, M) is the largest submodule of M
Atazadeh, Ali +2 more
core +2 more sources
Socle finiteness of local cohomology modules and Gorenstein ideals
, 2013 The purpose of this paper is to give some equivalent conditions to the socle and Bass numbers' conjectures which raised by C. Huneke in (Problems on local cohomology, Free resolutions in commutative algebra and algebraic geometry, Res. Notes Math.
Bahmanpour, Kamal +2 more
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Weak dimension of FP-injective modules over chain rings
, 2015 It is proven that the weak dimension of each FP-injective module over a chain ring which is either Archimedean or not semicoherent is less or equal to ...
Couchot, Francois
core +3 more sources
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
doaj +1 more source
Topological Noetherianity of the infinite half-spin representations
Forum of Mathematics, SigmaWe prove that the infinite half-spin representations are topologically Noetherian with respect to the infinite spin group. As a consequence, we obtain that half-spin varieties, which we introduce, are defined by the pullback of equations at a finite ...
Christopher Chiu +4 more
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Veterinary Dermatology, Volume 35, Issue 6, Page 595-604, December 2024.Background – Mycobacterium cell wall fraction (MCWF) is derived from nonpathogenic Mycobacterium phlei and is used as an immunomodulatory compound in clinical practice, yet its mode‐of‐action requires further research. Objective – To evaluate the host response to MCWF in canine peripheral blood mononuclear cells (PBMCs) by using enzyme‐linked ...
Robert Ward +9 more
wiley +1 more source
The space of finitely generated rings
, 2009 The space of marked commutative rings on n given generators is a compact metrizable space. We compute the Cantor-Bendixson rank of any member of this space.
Cornulier, Yves
core +3 more sources