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Amitsur's theorem, semicentral idempotents, and additively idempotent semirings
by
Rachev, Martin
, Trendafilov, Ivan
in
12H05
/ 13N15
/ 15A30
/ 15A80
/ 15B33
/ 16S32
/ 16S50
/ 16U40
/ 16W20
/ 16W25
/ 16Y60
/ additive basis
/ additively idempotent semirings
/ Derivation
/ derivations
/ differential algebra
/ endomorphism rings
/ endomorphism semirings
/ endomorphisms
/ idempotents
/ matrices
/ matrix rings
/ matrix semirings
/ polynomial semirings
/ Rings (mathematics)
/ semicentral idempotents
/ skew Ore polynomials
/ Theorems
2024
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Amitsur's theorem, semicentral idempotents, and additively idempotent semirings
by
Rachev, Martin
, Trendafilov, Ivan
in
12H05
/ 13N15
/ 15A30
/ 15A80
/ 15B33
/ 16S32
/ 16S50
/ 16U40
/ 16W20
/ 16W25
/ 16Y60
/ additive basis
/ additively idempotent semirings
/ Derivation
/ derivations
/ differential algebra
/ endomorphism rings
/ endomorphism semirings
/ endomorphisms
/ idempotents
/ matrices
/ matrix rings
/ matrix semirings
/ polynomial semirings
/ Rings (mathematics)
/ semicentral idempotents
/ skew Ore polynomials
/ Theorems
2024
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Amitsur's theorem, semicentral idempotents, and additively idempotent semirings
by
Rachev, Martin
, Trendafilov, Ivan
in
12H05
/ 13N15
/ 15A30
/ 15A80
/ 15B33
/ 16S32
/ 16S50
/ 16U40
/ 16W20
/ 16W25
/ 16Y60
/ additive basis
/ additively idempotent semirings
/ Derivation
/ derivations
/ differential algebra
/ endomorphism rings
/ endomorphism semirings
/ endomorphisms
/ idempotents
/ matrices
/ matrix rings
/ matrix semirings
/ polynomial semirings
/ Rings (mathematics)
/ semicentral idempotents
/ skew Ore polynomials
/ Theorems
2024
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Amitsur's theorem, semicentral idempotents, and additively idempotent semirings
Journal Article
Amitsur's theorem, semicentral idempotents, and additively idempotent semirings
2024
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Overview
The article explores research findings akin to Amitsur’s theorem, asserting that any derivation within a matrix ring can be expressed as the sum of an inner derivation and a hereditary derivation. In most results related to rings and semirings, Birkenmeier’s semicentral idempotents play a crucial role. This article is intended for PhD students, postdocs, and researchers.
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