Spectral spaces are a class of topological spaces. They are a tool linking algebraic
structures, in a very wide sense, with geometry. They were invented to give a functional …

The main purpose of this paper is a wide generalization of one of the results abstract
algebraic geometry begins with, namely of the fact that the prime spectrum Spec (R) Spec …

The aim of this paper is to investigate the behaviour of prime and semiprime subgroups of
groups, and their relation with the existence of abelian normal subgroups. In particular, we …

In this paper a bijection between the set of prime ideals of a Leavitt path algebra LK (E) and
a certain set which involves maximal tails in E and the prime spectrum of K [x, x–1] is …

The commutator operation in a congruence-modular variety $\mathcal {V} $ allows us to
define the prime congruences of any algebra $ A\in\mathcal {V} $ and the prime spectrum …

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 …

The reticulation of a unital ring R is a bounded distributive lattice L (A) whose main property
is that the Zariski prime spectrum of R is homeomorphic with the Stone prime spectrum of L …

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 …

R асоцiативне кiльце з 1= 0; M лiвий унiтальний R-модуль; A абелева група; IlR гратка
всiх лiвих iдеалiв кiльця R; IlM гратка всiх лiвих пiдмодулiв модуля M; P (A) множина всiх …

In this paper we introduce and study the left spectrum and the torsion-theoretic spectrum of
modules and establish some connections between them. In particular, the fact that for a …