[PDF][PDF] ON THE FINITE GOLDIE DIMENSION OF SUM OF TWO 4 IDEALS OF AN R-GROUP 5

T Sahoo, BS Kedukodi, P Harikrishnan… - … -General Algebra and …, 2023 - academia.edu
… -dimension of sum of two ideals of G, as a natu- 33 ral generalization of sum of two subspaces
of a finite dimensional … a proper ideal Ω of G with Ω-finite Goldie dimension (Ω- 37 F GD), if …

On essential elements in a lattice and Goldie analogue theorem

T Sahoo, BS Kedukodi, KP Shum… - … -European Journal of …, 2022 - World Scientific
… Further, dimension of quotient modules over rings has been studied by [5, 14]. We refer to …
Goldie dimension and its dualization aspects in modules over rings. In [8, 9], Goldie dimension

[PDF][PDF] A Note on dimensions in N-groups

S Bhavanari, SP Kuncham, VR Paruchuri… - Italian Journal of Pure …, 2020 - academia.edu
… Then H is said to have Finite Goldie dimension (FGD, in short) if H do not … Note 2.2. Every
module M over a ring R with finite Goldie dimension is an N-group G with finite dimension, by …

[PDF][PDF] SUPPLEMENTS IN A SEMIRING

D Patwari, HK Saikia - research-publication.com
dualizing the concept of Goldie Dimension Patrick Fleury [2] introduced the modules with finite
spanning dimension… role in study of dual Goldie dimension In recent times many concepts …

[PDF][PDF] On modules with chain condition on non-small submodules

AK Chaturvedi, N Kumar - International Electronic Journal of …, 2023 - dergipark.org.tr
… ” from [5], a module M is said to have finite Goldie dimension if for any strictly … to dualize
the concept of Goldie dimension. According to [3], a module M has finite spanning dimension if …

E-SUPPLEMENT IN A RING.

PK Bhagawati, D Patwari… - South East Asian Journal …, 2023 - search.ebscohost.com
… Introduction The dualization concept of Goldie dimension was first coined by Patrick Fleury
… with finite spanning dimension in [4]. A module M is said to have finite spanning dimension if …

[PDF][PDF] Graph with respect to superfluous elements in a lattice

T Sahoo, H Panackal, KB Srinivas… - … Mathematical Notes, 2022 - real.mtak.hu
… The notion of the essential submodule and its dualizing concept … The dualizing submodules
notions such as superfluous … The complete bipartite (that is, 2-partite) graph with part size m …

Semilocal Rings

A Facchini, A Facchini - Semilocal Categories and Modules with Semilocal …, 2019 - Springer
… property that there are no monomorphisms from a direct sum of infinitely many nonzero
modules into M , then M has finite Goldie dimension, but this result cannot be dualized to the dual …

The Noetherian dimension of modules versus their -small shortness

N Shirali - Algebraic Structures and Their Applications, 2023 - as.yazd.ac.ir
… We briefly study this dimension and observe that if A has Noethrian dimension, then sn-dimA
≤ n… dimension. But A does not have Krull dimension(note, Goldie dimension of A is infinite). …

On AB5* modules with Noetherian dimension

SM Javdannezhad, M Maschizadeh… - arXiv preprint arXiv …, 2022 - arxiv.org
… the Krull dimension and the Noetherian dimension of M. The existence of these two dimensions
are equiv… For this, note that it has no finite Goldie dimension, see [7, Proposition 1.4]. …