On graded Brown--McCoy radicals of graded rings
| Autor: | Emil Ilić-Georgijević |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
Pure mathematics
Ring (mathematics) Algebra and Number Theory Mathematics::Commutative Algebra Direct sum Applied Mathematics Radical 010102 general mathematics Mathematics::Rings and Algebras Graded ring 010103 numerical & computational mathematics Mathematics - Rings and Algebras 01 natural sciences Condensed Matter::Disordered Systems and Neural Networks Homogeneous Rings and Algebras (math.RA) Product (mathematics) FOS: Mathematics Astrophysics::Solar and Stellar Astrophysics Ideal (ring theory) Astrophysics::Earth and Planetary Astrophysics 0101 mathematics 16W50 16N80 16D25 Mathematics |
| Popis: | We investigate the graded Brown--McCoy and the classical Brown--McCoy radical of a graded ring, which is the direct sum of a family of its additive subgroups indexed by a nonempty set, under the assumption that the product of homogeneous elements is again homogeneous. There are two kinds of the graded Brown--McCoy radical, the graded Brown--McCoy and the large graded Brown--McCoy radical of a graded ring. Several characterizations of the graded Brown--McCoy radical are given, and it is proved that the large graded Brown--McCoy radical of a graded ring is the largest homogeneous ideal contained in the classical Brown--McCoy radical of that ring. Revised and with additional results |
| Databáze: | OpenAIRE |
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