[HTML][HTML] Attaching topological spaces to a module (I): Sobriety and spatiality
M Medina-Bárcenas, L Morales-Callejas… - Journal of Pure and …, 2018 - Elsevier
In this paper we study some frames associated to an R-module M. We define semiprimitive
submodules and we prove that they form an spatial frame canonically isomorphic to the …
submodules and we prove that they form an spatial frame canonically isomorphic to the …
On the hull-kernel and inverse topologies as frames
T Dube - Algebra universalis, 2013 - Springer
We consider some frame-theoretic properties of the hull-kernel and the inverse topologies
on the set of minimal prime ideals of an algebraic frame with the finite intersection property …
on the set of minimal prime ideals of an algebraic frame with the finite intersection property …
Further thoughts on the ring in frames
AA Estaji, M Robat Sarpoushi, M Elyasi - Algebra universalis, 2019 - Springer
Let C (X) denote the ring of all real-valued continuous functions on a topological space X
and R (L) R (L) be as the pointfree topology version of C (X), ie, the ring of real-valued …
and R (L) R (L) be as the pointfree topology version of C (X), ie, the ring of real-valued …
Pseudocompact frames L versus different topologies on R(L)
SK Acharyya, G Bhunia, PP Ghosh - Quaestiones Mathematicae, 2015 - Taylor & Francis
Pseudocompact frames L versus different topologies on R(L) Page 1 Quaestiones
Mathematicae 38(3) 2015: 423–430. c⃝ 2015 NISC (Pty) Ltd http://dx.doi.org/10.2989/16073606.2014.982343 …
Mathematicae 38(3) 2015: 423–430. c⃝ 2015 NISC (Pty) Ltd http://dx.doi.org/10.2989/16073606.2014.982343 …
[PDF][PDF] Pseudocompact supports in pointfree topology
T Dube - Houston Journal of Mathematics, 2014 - researchgate.net
Let RL denote the ring of real-valued continuous functions on the completely regular frame
L. The support of an element α∈ RL is the closed quotient↑(coz α)∗. We show that the set …
L. The support of an element α∈ RL is the closed quotient↑(coz α)∗. We show that the set …
On compactness of frames
T Dube - algebra universalis, 2004 - Springer
We define the notions of extension-closed and nearly closed sublocales of frames and
present, amongst other things, a pointfree and choice-free proof of a result of Harris …
present, amongst other things, a pointfree and choice-free proof of a result of Harris …
One-point compactifications and continuity for partial frames
J Frith, A Schauerte - Categories and General Algebraic Structures …, 2017 - cgasa.sbu.ac.ir
Locally compact Hausdorff spaces and their one-point compactifications are much used in
topology and analysis; in lattice and domain theory, the notion of continuity captures the idea …
topology and analysis; in lattice and domain theory, the notion of continuity captures the idea …
Concerning P-frames, essential P-frames, and strongly zero-dimensional frames
T Dube - Algebra universalis, 2009 - Springer
We give characterizations of P-frames, essential P-frames and strongly zero-dimensional
frames in terms of ring-theoretic properties of the ring of continuous real-valued functions on …
frames in terms of ring-theoretic properties of the ring of continuous real-valued functions on …
Some aspects of Zariski topology for multiplication modules and their attached frames and quantales
JC Perez, GT Sanchez - 대한수학회지, 2019 - dbpia.co.kr
For a multiplication $ R $-module $ M $ we consider the Zariski topology in the set $
Spec\left (M\right) $ of prime submodules of $ M $. We investigate the relationship between …
Spec\left (M\right) $ of prime submodules of $ M $. We investigate the relationship between …
On the relation between subspaces and sublocales
AL Suarez - Journal of Pure and Applied Algebra, 2022 - Elsevier
We present a new approach for investigating the relation between subspaces and
sublocales, and use it to find new results as well as new proofs of known results. The …
sublocales, and use it to find new results as well as new proofs of known results. The …