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 …

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 …

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 …

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 …

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 …

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 …

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 …

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 …

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 …

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 …