On Commutativity Theorems for Rings

H. A.S. Abujabal; M. S. Khan

doi:10.1155/S0161171290000126

On Commutativity Theorems for Rings

H. A.S. Abujabal, M. S. Khan

Mathematics & Statistics

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

Let R be an associative ring with unity. It is proved that if R satisfies the polynomial identity [xⁿ y – y^mxⁿ, x] = 0 (m > 1, n > 1), then R is commutative. Two or more related results are also obtained.

Original language	English
Pages (from-to)	87-92
Number of pages	6
Journal	International Journal of Mathematics and Mathematical Sciences
Volume	13
Issue number	1
DOIs	https://doi.org/10.1155/S0161171290000126
Publication status	Published - 1990

Keywords

Commutative rings
center of a ring
commutator ideal
torsion free rings

ASJC Scopus subject areas

Mathematics (miscellaneous)

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10.1155/S0161171290000126

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title = "On Commutativity Theorems for Rings",

abstract = "Let R be an associative ring with unity. It is proved that if R satisfies the polynomial identity [xn y – ymxn, x] = 0 (m > 1, n > 1), then R is commutative. Two or more related results are also obtained.",

keywords = "Commutative rings, center of a ring, commutator ideal, torsion free rings",

author = "Abujabal, {H. A.S.} and Khan, {M. S.}",

year = "1990",

doi = "10.1155/S0161171290000126",

language = "English",

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pages = "87--92",

journal = "International Journal of Mathematics and Mathematical Sciences",

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T1 - On Commutativity Theorems for Rings

AU - Abujabal, H. A.S.

AU - Khan, M. S.

PY - 1990

Y1 - 1990

N2 - Let R be an associative ring with unity. It is proved that if R satisfies the polynomial identity [xn y – ymxn, x] = 0 (m > 1, n > 1), then R is commutative. Two or more related results are also obtained.

AB - Let R be an associative ring with unity. It is proved that if R satisfies the polynomial identity [xn y – ymxn, x] = 0 (m > 1, n > 1), then R is commutative. Two or more related results are also obtained.

KW - Commutative rings

KW - center of a ring

KW - commutator ideal

KW - torsion free rings

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EP - 92

JO - International Journal of Mathematics and Mathematical Sciences

JF - International Journal of Mathematics and Mathematical Sciences

IS - 1

ER -

On Commutativity Theorems for Rings

Abstract

Keywords

ASJC Scopus subject areas

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