Communications in Algebra, ISSN 0092-7872, 01/2020, Volume 48, Issue 1, pp. 105 - 118

Let n be a positive integer with Let X be a locally finite preordered set, R a commutative ring with unity and I(X, R) the incidence algebra of X over R. We...

Derivation | Primary 16W25, Secondary 06A11, 16G20, 47L35 | Lie n-derivation | incidence algebra

Derivation | Primary 16W25, Secondary 06A11, 16G20, 47L35 | Lie n-derivation | incidence algebra

Journal Article

Communications in Algebra, ISSN 0092-7872, 03/2014, Volume 42, Issue 3, pp. 1200 - 1230

We prove that if R is a left Noetherian and left regular ring then the same is true for any bijective skew PBW extension A of R. From this we get Serre's...

Quantum algebras | Krull and goldie dimensions | Graded rings | Algebraic K-theory | Noetherian regular noncommutative rings | Primary 16S80, 16W25, 16S36, 16U20, 18F25 | PBW extensions | Global | Serre's theorem | Secondary 16W50, 16E65 | DOWN-UP ALGEBRAS | 16U20 | KRULL DIMENSION | IDENTITIES | Primary 16S80 | GENERALIZED WEYL ALGEBRAS | 18F25 | MATHEMATICS | 16E65 | ENVELOPING-ALGEBRAS | COEFFICIENTS | 16W25 | Secondary 16W50 | GROBNER BASES | 16S36 | POLYNOMIAL-RINGS | Algebra

Quantum algebras | Krull and goldie dimensions | Graded rings | Algebraic K-theory | Noetherian regular noncommutative rings | Primary 16S80, 16W25, 16S36, 16U20, 18F25 | PBW extensions | Global | Serre's theorem | Secondary 16W50, 16E65 | DOWN-UP ALGEBRAS | 16U20 | KRULL DIMENSION | IDENTITIES | Primary 16S80 | GENERALIZED WEYL ALGEBRAS | 18F25 | MATHEMATICS | 16E65 | ENVELOPING-ALGEBRAS | COEFFICIENTS | 16W25 | Secondary 16W50 | GROBNER BASES | 16S36 | POLYNOMIAL-RINGS | Algebra

Journal Article

Communications in Algebra, ISSN 0092-7872, 05/2019, Volume 47, Issue 5, pp. 1841 - 1852

Let be a 2-torsion free commutative ring with unity, X a locally finite preordered set and the incidence algebra of X over . If X consists of a finite number...

Lie triple derivation | 06A11 | Derivation | Primary 16W25 | Secondary 16W10 | 47L35 | incidence algebra | Incidence

Lie triple derivation | 06A11 | Derivation | Primary 16W25 | Secondary 16W10 | 47L35 | incidence algebra | Incidence

Journal Article

Communications in Algebra, ISSN 0092-7872, 07/2018, Volume 46, Issue 7, pp. 3014 - 3032

We show that if A is a finite-dimensional associative H-module algebra for an arbitrary Hopf algebra H, then the proof of the analog of Amitsur's conjecture...

skew-derivation | Ore extension | H-simple algebra | polynomial identity | Primary 16R10 | Associative algebra | Secondary 16R50, 16T05, 16W25 | Taft algebra | H-module algebra | codimension | POINTED HOPF-ALGEBRAS | SEMIGROUP GRADED ALGEBRAS | MATHEMATICS | ASSOCIATIVE ALGEBRAS | CODIMENSION GROWTH | RADICALS | Algebra | Mathematics - Rings and Algebras

skew-derivation | Ore extension | H-simple algebra | polynomial identity | Primary 16R10 | Associative algebra | Secondary 16R50, 16T05, 16W25 | Taft algebra | H-module algebra | codimension | POINTED HOPF-ALGEBRAS | SEMIGROUP GRADED ALGEBRAS | MATHEMATICS | ASSOCIATIVE ALGEBRAS | CODIMENSION GROWTH | RADICALS | Algebra | Mathematics - Rings and Algebras

Journal Article

Mathematica Slovaca, ISSN 0139-9918, 10/2019, Volume 69, Issue 5, pp. 1023 - 1032

Our purpose in this paper is to investigate some particular classes of generalized derivations and their relationship with commutativity of prime rings with...

Primary 16N60 | 16W25 | 16W10 | generalized derivation | rings with involution | commutativity | MATHEMATICS | HOMOMORPHISMS | RINGS | IDEALS

Primary 16N60 | 16W25 | 16W10 | generalized derivation | rings with involution | commutativity | MATHEMATICS | HOMOMORPHISMS | RINGS | IDEALS

Journal Article

Communications in Algebra, ISSN 0092-7872, 04/2019, Volume 47, Issue 4, pp. 1662 - 1670

Triangular matrix rings are examples of trivial extensions. In this article, we describe the superderivations of the trivial extensions and upper triangular...

Primary: 16S50 | triangular matrix ring | trivial extension | Super-biderivation | superderivation | Secondary: 16W25 | superring | 16W55 | MATHEMATICS | DERIVATIONS | Questions | Rings (mathematics)

Primary: 16S50 | triangular matrix ring | trivial extension | Super-biderivation | superderivation | Secondary: 16W25 | superring | 16W55 | MATHEMATICS | DERIVATIONS | Questions | Rings (mathematics)

Journal Article

Communications in Algebra, ISSN 0092-7872, 08/2019, Volume 47, Issue 8, pp. 3154 - 3169

Let R be a noncommutative prime ring of characteristic different from 2, Q r the right Martindale quotient ring of R, the extended centroid of R and a...

16R50 | Derivation | Primary: 16W25 | generalized skew derivation | generalized derivation | prime ring | Secondary: 16N60 | ANTI-HOMOMORPHISMS | POLYNOMIALS | MATHEMATICS | DIFFERENTIAL IDENTITIES | AUTOMORPHISMS | LIE IDEALS | JORDAN HOMOMORPHISMS | Homomorphisms | Quotients | Polynomials

16R50 | Derivation | Primary: 16W25 | generalized skew derivation | generalized derivation | prime ring | Secondary: 16N60 | ANTI-HOMOMORPHISMS | POLYNOMIALS | MATHEMATICS | DIFFERENTIAL IDENTITIES | AUTOMORPHISMS | LIE IDEALS | JORDAN HOMOMORPHISMS | Homomorphisms | Quotients | Polynomials

Journal Article

Bulletin of the Iranian Mathematical Society, ISSN 1017-060X, 12/2018, Volume 44, Issue 6, pp. 1543 - 1554

Let $$\mathcal {N}$$ N be a 3-prime near-ring with center $$Z(\mathcal {N})$$ Z(N) and $$\mathcal {J}$$ J a nonzero Jordan ideal of $$\mathcal {N}$$ N . The...

Left multipliers | Secondary 16W25 | 3-Prime near-rings | Jordan ideals | Primary 16N60 | Mathematics, general | Mathematics | 16Y30 | MATHEMATICS

Left multipliers | Secondary 16W25 | 3-Prime near-rings | Jordan ideals | Primary 16N60 | Mathematics, general | Mathematics | 16Y30 | MATHEMATICS

Journal Article

Linear and Multilinear Algebra, ISSN 0308-1087, 10/2016, Volume 64, Issue 10, pp. 2104 - 2118

Let P be a preordered set, R a ring and FI(P, R) the finitary incidence ring of P over R. We find a criterion for all the Jordan derivations of FI(P, R) to be...

Secondary: 16S60 | derivation | finitary incidence ring | Jordan derivation | Primary: 16W25 | 16S50 | MATHEMATICS | INCIDENCE ALGEBRAS | Derivation | Algebra | Criteria | Images | Incidence

Secondary: 16S60 | derivation | finitary incidence ring | Jordan derivation | Primary: 16W25 | 16S50 | MATHEMATICS | INCIDENCE ALGEBRAS | Derivation | Algebra | Criteria | Images | Incidence

Journal Article

Bulletin of the Iranian Mathematical Society, ISSN 1017-060X, 6/2018, Volume 44, Issue 3, pp. 749 - 762

In this paper, we will describe the general form of commuting mappings of Hochschild extension algebras and characterize the properness of commuting mappings...

Secondary 16W25 | Commuting mapping | 46H40 | Hochschild extension | Mathematics, general | Mathematics | Primary 15A78 | Triangular algebra | MATHEMATICS | MAPS | TRACES | DERIVATIONS

Secondary 16W25 | Commuting mapping | 46H40 | Hochschild extension | Mathematics, general | Mathematics | Primary 15A78 | Triangular algebra | MATHEMATICS | MAPS | TRACES | DERIVATIONS

Journal Article

Acta Mathematica Hungarica, ISSN 0236-5294, 2/2018, Volume 154, Issue 1, pp. 48 - 55

Let P be a partially ordered set, R a commutative ring with identity and FI(P,R) the finitary incidence algebra of P over R. We prove that each R-linear local...

local derivation | secondary 16S50 | Mathematics, general | primary 16W25 | Mathematics | derivation | finitary incidence algebra | MATHEMATICS | TRIANGULAR MATRIX-RINGS | JORDAN DERIVATIONS | AUTOMORPHISMS | LIE DERIVATIONS | Algebra

local derivation | secondary 16S50 | Mathematics, general | primary 16W25 | Mathematics | derivation | finitary incidence algebra | MATHEMATICS | TRIANGULAR MATRIX-RINGS | JORDAN DERIVATIONS | AUTOMORPHISMS | LIE DERIVATIONS | Algebra

Journal Article

Bulletin of the Iranian Mathematical Society, ISSN 1017-060X, 8/2018, Volume 44, Issue 4, pp. 891 - 898

In this paper, we obtain several results on generalized derivations and partial generalized automorphisms in prime rings. Also, some examples are given to show...

Prime ring | Secondary 16W25 | 16U80 | Generalized derivation | Primary 16N60 | Mathematics, general | Mathematics | Partial generalized automorphism | MATHEMATICS | COMMUTATIVITY | VALUES | IDEALS

Prime ring | Secondary 16W25 | 16U80 | Generalized derivation | Primary 16N60 | Mathematics, general | Mathematics | Partial generalized automorphism | MATHEMATICS | COMMUTATIVITY | VALUES | IDEALS

Journal Article

Algebras and Representation Theory, ISSN 1386-923X, 12/2019, Volume 22, Issue 6, pp. 1331 - 1341

Let P be a partially ordered set, R a commutative unital ring and F I(P,R) the finitary incidence algebra of P over R. We prove that each R-linear higher...

Primary 16S50, 16W25 | Secondary 16G20, 06A11 | Associative Rings and Algebras | Higher derivation | Non-associative Rings and Algebras | Finitary incidence algebra | Commutative Rings and Algebras | Higher transitive map | Mathematics | Inner higher derivation | MATHEMATICS | INVOLUTIONS | JORDAN DERIVATIONS | AUTOMORPHISMS | LOCAL DERIVATIONS

Primary 16S50, 16W25 | Secondary 16G20, 06A11 | Associative Rings and Algebras | Higher derivation | Non-associative Rings and Algebras | Finitary incidence algebra | Commutative Rings and Algebras | Higher transitive map | Mathematics | Inner higher derivation | MATHEMATICS | INVOLUTIONS | JORDAN DERIVATIONS | AUTOMORPHISMS | LOCAL DERIVATIONS

Journal Article

Aequationes mathematicae, ISSN 0001-9054, 6/2018, Volume 92, Issue 3, pp. 581 - 597

We continue the study of additive functions $$f_k:R\rightarrow F \;(1\le k\le n)$$ fk:R→F(1≤k≤n) linked by an equation of the form $$\sum _{k=1}^n...

Functional equation | Mathematics | Integral domain | Characteristic zero | Ring derivation | Higher-order derivation | Secondary: 13N15 | Field | Analysis | Homogeneity | 16W25 | Combinatorics | 39B72 | Primary: 39B52

Functional equation | Mathematics | Integral domain | Characteristic zero | Ring derivation | Higher-order derivation | Secondary: 13N15 | Field | Analysis | Homogeneity | 16W25 | Combinatorics | 39B72 | Primary: 39B52

Journal Article

Linear Algebra and Its Applications, ISSN 0024-3795, 09/2013, Volume 439, Issue 5, pp. 1294 - 1311

The paper is devoted to 2-local derivations on matrix algebras over commutative regular algebras. We give necessary and sufficient conditions on a commutative...

Derivation | Matrix algebra | 2-Local derivation | Regular algebra | MATHEMATICS | MATHEMATICS, APPLIED | LOCAL AUTOMORPHISMS | Mathematics - Operator Algebras

Derivation | Matrix algebra | 2-Local derivation | Regular algebra | MATHEMATICS | MATHEMATICS, APPLIED | LOCAL AUTOMORPHISMS | Mathematics - Operator Algebras

Journal Article

Communications in Algebra, ISSN 0092-7872, 09/2014, Volume 42, Issue 9, pp. 3699 - 3707

Let K be a commutative ring with unity, R a prime K-algebra of characteristic different from 2, U the right Utumi quotient ring of R, f(x 1 ,..., x n ) a...

Prime ring | Primary 16N60 | Secondary 16W25 | Generalized derivation | MATHEMATICS | IDEALS | PRIME-RINGS | Algebra | Unity | Quotients | Derivation | Polynomials | Standards | Rings (mathematics)

Prime ring | Primary 16N60 | Secondary 16W25 | Generalized derivation | MATHEMATICS | IDEALS | PRIME-RINGS | Algebra | Unity | Quotients | Derivation | Polynomials | Standards | Rings (mathematics)

Journal Article

Mathematical Research Letters, ISSN 1073-2780, 2017, Volume 24, Issue 5, pp. 1477 - 1496

We prove that any divisor as in the title must be normal crossing.

Normal crossing | Logarithmic derivation | Free divisor | Lie algebra | Quasihomogeneity | free divisor | MATHEMATICS | logarithmic derivation | normal crossing | quasihomogeneity | DERIVATIONS | Mathematics - Algebraic Geometry

Normal crossing | Logarithmic derivation | Free divisor | Lie algebra | Quasihomogeneity | free divisor | MATHEMATICS | logarithmic derivation | normal crossing | quasihomogeneity | DERIVATIONS | Mathematics - Algebraic Geometry

Journal Article

Linear and Multilinear Algebra, ISSN 0308-1087, 06/2016, Volume 64, Issue 6, pp. 1145 - 1162

Let be a ring with an involution and containing a non-trivial symmetric idempotent. Under some mild conditions on , several different characterizations of...

Primary: 16W10 | derivations | 16W25 | Jordan -derivations | 47B47 | prime rings | MATHEMATICS | ALGEBRAS | QUADRATIC FUNCTIONALS | Concretes | Algebra | Images | Symmetry | Rings (mathematics)

Primary: 16W10 | derivations | 16W25 | Jordan -derivations | 47B47 | prime rings | MATHEMATICS | ALGEBRAS | QUADRATIC FUNCTIONALS | Concretes | Algebra | Images | Symmetry | Rings (mathematics)

Journal Article

Linear and Multilinear Algebra, ISSN 0308-1087, 03/2016, Volume 64, Issue 3, pp. 383 - 392

Let be a nest in an arbitrary factor von Neumann algebra . In this paper, it is proved that a linear local left (right) centralizer from the nest subalgebra...

Secondary: 47B49 | centralizers | Primary: 16W25 | nest subalgebras | local action | MATHEMATICS | DERIVATIONS | Expected utility | Oil field equipment | Mapping | Algebra | Images

Secondary: 47B49 | centralizers | Primary: 16W25 | nest subalgebras | local action | MATHEMATICS | DERIVATIONS | Expected utility | Oil field equipment | Mapping | Algebra | Images

Journal Article

Bollettino dell'Unione Matematica Italiana, ISSN 1972-6724, 3/2019, Volume 12, Issue 1, pp. 197 - 219

In order to study the deformations of foliations of codimension 1 of a smooth manifold L, de Bartolomeis and Iordan defined the DGLA $$ \mathcal {Z}^{*}\left(...

32E99 | 53C12 | Differential graded Lie Algebras | Levi flat hypersurface | Mathematics, general | 16W25 | Mathematics | Foliations | Maurer–Cartan equation | Primary 32G10 | Graded derivations

32E99 | 53C12 | Differential graded Lie Algebras | Levi flat hypersurface | Mathematics, general | 16W25 | Mathematics | Foliations | Maurer–Cartan equation | Primary 32G10 | Graded derivations

Journal Article

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