Graph algebras possess the capacity to relate fundamental concepts of computer science,
combinatorics, graph theory, operations research, and universal algebra. They are used to …

A lattice-ordered ring is a ring that is also a lattice in which each additive translation is order
preserving and the product of two positive elements is positive. Many ring constructions …

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 …

This book exposes the internal structure of non-self-adjoint operators acting on complex
separable infinite dimensional Hilbert space, by analyzing and studying the commutant of …

给出了根类的判别的2 组等价条件, 定义了点态化完备代数正规类中的λ-代数与正则代数2
类代数, 并证明了λ-代数类λ 与正则代数类ν 都是根类. Abstract: Two equivalent conditions of …

UJ-rings are studied, ie ring in which all units can be presented in a form 1+ x, for some x\in
J (R). The behavior of UJ-rings under various algebraic construction is investigated. In …

Let R be a ring graded by a finite cancellative partial groupoid S, and let E (S) denote the set
of all idempotent elements of S. The Jacobson radical of a ring A is denoted by J (A), and P …

The concept prime ideals and corresponding radicals play an important role in the study of
nearrings. In this paper, we define different prime strong ideals of a seminearring S and …

定义了点态化完备代数正规类中的周期代数, Jacobson 代数与Boolean 代数, 讨论了周期代数,
Jacobson 代数与Boolean 代数的一些性质, 证明了Jacobson 代数类κ 与Boolean 代数类β …

This is the first in a series of papers highlighting the applications of reduced and coreduced
modules. Let R be a commutative unital ring and I be an ideal of R. We show that I-reduced …