Results 41 to 50 of about 84 (84)

Hidden constructions in abstract algebra Krull Dimension of distributive lattices and commutative rings

, 2001
International audienceWe present constructive versions of Krull's dimension theory for commutative rings and distributive lattices. The foundations of these constructive versions are due to Joyal, Español and the authors. We show that the notion of Krull
Lombardi, Henri, Coquand, Thierry
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On the interior of a submodule with respect to a set of ideals

, 2019
In this paper, we investigate interior operations on submodules and introduce a new interior operation by using a certain submodule class. Let R be a commutative ring with identity and I be a set of ideals of R.
Çeken, Seçil
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On generalized morphic modules

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
Aim of the present article is to extend generalized morphic ring to modules. Let R be a commutative ring with a unity and M an R-module. M is said to be a generalized morphic module if for each m ∈ M, there exists a ∈ R such that annR (m) = (a) + annR (M
Çeken Seçil, Tekir Ünsal, Koç Suat
doaj   +1 more source

On the arithmetic of stable domains. [PDF]

Commun Algebra, 2021
Bashir A, Geroldinger A, Reinhart A.
europepmc   +1 more source

© Hindawi Publishing Corp. ON KRULL’S INTERSECTION THEOREM OF FUZZY IDEALS

, 2001
We deal with Krull’s intersection theorem on the ideals of a commutative Noether-ian ring in the fuzzy setting. We first characterise products of finitely generated fuzzy ideals in terms of fuzzy points.
B. B. Makamba, V. Murali
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On nonnil-S-Noetherian and nonnil-u-S-Noetherian rings

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
Let R be a commutative ring with identity, and let S be a multiplicative subset of R. Then R is called a nonnil-S-Noetherian ring if every nonnil ideal of R is S-finite.
Mahdou Najib, Oubouhou El Houssaine, Celikel Ece Yetkin   +2 more
doaj   +1 more source

On transfer homomorphisms of Krull monoids. [PDF]

Boll Unione Mat Ital (2008), 2021
Geroldinger A, Kainrath F.
europepmc   +1 more source

Note on non-D-rings

, 2019
Recall that an integral domain R is said to be a non-D-ring if there exists a non-constant polynomial f(X) in R[X] (called a uv-polynomial) such that f(a) is a unit of R for every a in R.
Mimouni, A
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Square-difference factor absorbing submodules of modules over commutative rings

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
Let R be a commutative ring with identity and M an unitary R-module. Recently, in [5], Anderson, Badawi and Coykendalla defined a proper ideal I of R to be a square-difference factor absorbing ideal (sdf-absorbing ideal) of R if whenever a2 − b2 ∈ I for ...
Khashan Hani A., Celikel Ece Yetkin
doaj   +1 more source

Arithmetically Related Ideal Topologies and the Infinitude of Primes

, 2004
The late J. Knopfmacher and the author [12] have studied some ties between arithmetic properties of the multiplicative structure of commutative rings with identity and the topologies induced by some coset classes. In the present communication it is
Porubský, Stefan
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