Weak-pseudo-R0 Algebras

Yonglin Liu; Xiaobo Cai

doi:10.1109/cis.2011.84

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JOURNAL ARTICLE

Weak-pseudo-R0 Algebras

Yonglin Liu Xiaobo Cai

Year: 2011 Vol: 8 Pages: 348-352

DOI: 10.1109/cis.2011.84

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Abstract

A positive answer to the open problem of Iorgulescu on extend weak-R ₀ algebras and R ₀ algebras to the non-commutative forms is given. Some properties, the noncommutative forms of the properties in weak-R ₀ algebras and R ₀ algebras, are investigated. The simplified axiom systems of weak-pseudo-R ₀ algebras and pseudo-R ₀ algebras are obtained.

Keywords:

Commutative property Axiom Noncommutative geometry Discrete mathematics Mathematics Pure mathematics

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Advanced Algebra and Logic

Physical Sciences → Computer Science → Computational Theory and Mathematics

Fuzzy and Soft Set Theory

Social Sciences → Decision Sciences → Management Science and Operations Research

Rings, Modules, and Algebras

Physical Sciences → Mathematics → Algebra and Number Theory

Weak-pseudo-R0 Algebras

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