Results 1 to 10 of about 194 (186)
On the distributivity of the lattice of radical submodules [PDF]
Journal of Mahani Mathematical Research, 2023 Let $R$ be a commutative ring with identity and $\mathcal{R}(_{R}M)$ denotes the bounded lattice of radical submodules of an $R$-module $M$. We say that $M$ is a radical distributive module, if $\mathcal{R}(_{R}M)$ is a distributive lattice.
Hossein Fazaeli Moghimi +1 more
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The distributive hull of a ring
Journal of Algebra, 1990 In [2], Davison has shown that every R-module M which is locally nonzero at every maximal ideal of R has a maximal distributive extension and has raised the question: Is this unique up to M-isomorphism, in which case one can denote it by D(M) and call it the distributive hull of M [l, 51.
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On Rings of Weak Global Dimension at Most One
Mathematics, 2021 A ring R is of weak global dimension at most one if all submodules of flat R-modules are flat. A ring R is said to be arithmetical (resp., right distributive or left distributive) if the lattice of two-sided ideals (resp., right ideals or left ideals) of
Askar Tuganbaev
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Lifting Elements in Coherent Quantales [PDF]
Transactions on Fuzzy Sets and Systems, 2022 An ideal I of a ring R is a lifting ideal if the idempotents of R can be lifted modulo I. A rich literature has been dedicated to lifting ideals. Recently, new algebraic and topological results on lifting ideals have been discovered.
George Georgescu
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L-Fuzzy Prime Spectrums of ADLs
Advances in Fuzzy Systems, 2021 The notion of an Almost Distributive Lattice (ADL) is a common abstraction of several lattice theoretic and ring theoretic generalizations of Boolean algebra and Boolean rings.
Natnael Teshale Amare +2 more
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Semidegenerate Congruence-modular Algebras Admitting a Reticulation
Scientific Annals of Computer Science, 2023 The reticulation L(R) of a commutative ring R was introduced by Joyal in 1975, then the theory was developed by Simmons in a remarkable paper published in 1980. L(R) is a bounded distributive algebra whose main property is that the Zariski prime
George Georgescu
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A Generalized Definition of Fuzzy Subrings
Journal of Mathematics, 2022 In this study, under the condition that L is a completely distributive lattice, a generalized definition of fuzzy subrings is introduced. By means of four kinds of cut sets of fuzzy subset, the equivalent characterization of L-fuzzy subring measures are ...
Ying-Ying An, Fu-Gui Shi, Lan Wang
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On waists of right distributive rings [PDF]
Forum Mathematicum, 1995 Let \(R\) be a right distributive ring (\(D\)-ring) with the condition: (MP) There exists a completely prime ideal contained in the Jacobson radical \(J(R)\). A right ideal \(I\) is called a waist of \(R\) if for every right ideal \(K\) of \(R\) we have either \(K\subseteq I\) or \(I\subseteq K\).
Törner, Günter, Ferrero, Miguel
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HYPERIDEALS IN M-POLYSYMMETRICAL HYPERRINGS [PDF]
Journal of Algebraic Systems, 2019 An M-polysymmetrical hyperring $(R,+,cdot )$ is an algebraic system, where $(R,+)$ is an M-polysymmetrical hypergroup, $(R,cdot )$ is a semigroup and $cdot$ is bilaterally distributive over $+$.
M. A. Madani, S. Mirvakili, B. Davvaz
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Chemical Engineering Journal Advances, 2021 The mixing characteristics of a Dulmage-type screw, a kind of distributive mixing element, in single-screw extrusion were investigated. To evaluate the mixing ability, a melt-mixing extrusion experiment diluting a masterbatch with its base polymer and a ...
Koichi Kimura +2 more
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