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Auslander‐reiten conjecture for gorenstein rings of krull dimension at least 2 [PDF]
ریاضی و جامعه, 2022 Auslander‐Reiten Conjecture is one of the most important and long‐standing conjectures in representation theory of finite dimensional algebras. It is known to be in close relationship with a string of homological conjectures on top of which lies the well‐
Hossein Eshraghi
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On multiplication $fs$-modules and dimension symmetry [PDF]
Journal of Mahani Mathematical Research, 2023 In this paper, we first study $fs$-modules, i.e., modules with finitely many small submodules. We show that every $fs$-module with finite hollow dimension is Noetherian.
Nasrin Shirali +2 more
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Entangled subspaces and generic local state discrimination with pre-shared entanglement [PDF]
Quantum, 2022 Walgate and Scott have determined the maximum number of generic pure quantum states that can be unambiguously discriminated by an LOCC measurement [Journal of Physics A: Mathematical and Theoretical, 41:375305, 08 2008].
Benjamin Lovitz, Nathaniel Johnston
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Mathematica Bohemica, 2023 Let $D$ be an integral domain with the quotient field $K$, $X$ an indeterminate over $K$ and $x$ an element of $D$. The Bhargava ring over $D$ at $x$ is defined to be $\mathbb{B}_x(D):=\{f\in\nobreak K[X] \text{for all} a\in D, f(xX+a)\in D[X]\}$.
Mohamed Mahmoud Chems-Eddin +2 more
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Global Warming and Mass Extinctions Associated With Large Igneous Province Volcanism
Geophysical Monograph Series, Page 83-102., 2021 Exploring the links between Large Igneous Provinces and dramatic environmental impact
An emerging consensus suggests that Large Igneous Provinces (LIPs) and Silicic LIPs (SLIPs) are a significant driver of dramatic global environmental and biological changes, including mass extinctions.
David P. G. Bond, Yadong Sun
wiley +1 more source
SOME RESULTS ON STRONGLY PRIME SUBMODULES [PDF]
Journal of Algebraic Systems, 2014 Let $R$ be a commutative ring with identity and let $M$ be an $R$-module. A proper submodule $P$ of $M$ is called strongly prime submodule if $(P + Rx : M)ysubseteq P$ for $x, yin M$, implies that $xin P$ or $yin P$.
Alireza Naghipour
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ON TYPE KRULL DIMENSION OF MODULES [PDF]
Journal of Algebraic SystemsIn this paper, the concept of type Krull dimension of a module is introduced and some related properties are investigated.Using this concept, we extend some basic results about modules with Krull dimension.
Nasrin Shirali +2 more
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NON-PARALLEL KRULL DIMENSION OF MODULES [PDF]
Journal of Algebraic SystemsIn this paper, the concept of non-parallel Krull (resp., Noetherian) dimension of an $ R $-module are introduced and some related properties are investigated.
Nasrin Shirali, Mohammad Maschizadeh
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Journal of Algebraic SystemsWe introduce and study the concept of $\alpha $-short type modules.Using this concept we extend some of the basic results of $\alpha $-short modules to $\alpha $-short type modules.
Maryam Davoudian
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Open Mathematics, 2016 In this article we introduce and study the concept of α-almost Artinian modules. We show that each α-almost Artinian module M is almost Artinian (i.e., every proper homomorphic image of M is Artinian), where α ∈ {0,1}.
Davoudian Maryam +2 more
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