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Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 05/2020, Volume 485, Issue 2, p. 123861
Let X be a right Hilbert module over a C⁎-algebra A equipped with the canonical operator space structure. We define an elementary operator on X as a map ϕ:X→X... 
[formula omitted]-algebra | Hilbert [formula omitted]-module | Elementary operator | Prime | Completely bounded map | MATHEMATICS | MATHEMATICS, APPLIED | Hilbert C-module | BOUNDED MAPPINGS | MORITA EQUIVALENCE | C-algebra | Mathematics - Operator Algebras
Journal Article
Journal of Algebra, ISSN 0021-8693, 02/2015, Volume 423, pp. 54 - 86
It is proved that the prime degenerate (−1,1) algebra constructed in [12] (the (−1,1)-monster) generates the same variety of algebras as the Grassmann... 
[formula omitted]-algebra | Grassmann envelope | Prime degenerate algebra | Jordan algebra | Superalgebra of vector type | Secondary | (-1, 1)-algebra | Primary | MATHEMATICS | ONE ODD GENERATOR | ALGEBRAS | RIGHT ALTERNATIVE RINGS | (-1,1)-algebra | Algebra
Journal Article
Linear Algebra and Its Applications, ISSN 0024-3795, 2011, Volume 434, Issue 3, pp. 669 - 682
Let A be a unital prime algebra with a nontrivial idempotent over a field F . For any scalar ξ ∈ F , all additive maps L : A → A satisfying [ L ( A ) , B ] ξ +... 
[formula omitted]-Lie derivations | Derivations | Prime algebras | [formula omitted]-Lie product | ξ-Lie product | ξ-Lie derivations
Journal Article
Advances in Mathematics, ISSN 0001-8708, 12/2012, Volume 231, Issue 6, pp. 3232 - 3258
We generalize F-signature to pairs (R,D) where D is a Cartier subalgebra on R as defined by the first two authors. In particular, we show the existence and... 
[formula omitted]-signature | [formula omitted]-pure | [formula omitted]-splitting ratio | Cartier algebra | Splitting prime | [formula omitted]-regular | F-regular | F-splitting ratio | F-pure | F-signature | PURE RINGS | CHARACTERISTIC-P | LOCAL-RINGS | TEST IDEALS | MATHEMATICS | ELEMENTS | COHEN-MACAULAY | MAPS | PURITY | REGULAR RINGS | TIGHT CLOSURE
Journal Article
Linear Algebra and Its Applications, ISSN 0024-3795, 04/2012, Volume 436, Issue 7, pp. 2504 - 2512
Let A be an algebra and let f(x1,…,xd) be a multilinear polynomial in noncommuting indeterminates xi. We consider the problem of describing linear maps ϕ:A→A... 
[formula omitted]-algebra | Functional identity | Multilinear polynomial | Matrix algebra | Algebraic group | Polynomial identity | Free algebra | Linear preserver problem | Prime algebra | algebra | MATHEMATICS | MATHEMATICS, APPLIED | C-algebra | Universities and colleges | Algebra
Journal Article
Information Sciences, ISSN 0020-0255, 2008, Volume 178, Issue 17, pp. 3474 - 3481
The logical foundations of processes handling uncertainty in information use some classes of algebras as algebraic semantics. The sets of provable formulas in... 
Filter | Fuzzy prime filter | Pseudo MV-algebra | Pseudo BL-algebra | Fuzzy filter | [formula omitted]-monoid | Prime filter | R ℓ-monoid
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 07/2019, Volume 475, Issue 1, pp. 628 - 640
Let A be a prime unital C⁎-algebra, X a countably generated Hillbert A-module, B(X) the C⁎-algebra of adjointable operators on X and K(X) the C⁎-algebra of... 
Hilbert [formula omitted]-module | Elementary operator | Prime [formula omitted]-algebra | Multiplication operator | MATHEMATICS | WEAK COMPACTNESS | MATHEMATICS, APPLIED | Prime C-algebra | Hilbert C-module
Journal Article
Computers and Mathematics with Applications, ISSN 0898-1221, 2010, Volume 59, Issue 9, pp. 3167 - 3179
Journal Article
Linear Algebra and Its Applications, ISSN 0024-3795, 2011, Volume 434, Issue 12, pp. 2413 - 2429
Let A be a Banach algebra, let σ be an automorphism of A , and let d, δ be q-skew σ-derivations of A . We show that if d δ ( a ) is quasi-nilpotent for any a ∈... 
Banach algebra | Quasi-nilpotent | Radical | q-Skew [formula omitted]-derivations | q-Skew σ-derivations | MATHEMATICS | MATHEMATICS, APPLIED | CONSTANTS | RINGS | q-Skew sigma-derivations | PRIME IDEALS
Journal Article
Journal of Algebra, ISSN 0021-8693, 06/2018, Volume 504, pp. 217 - 290
Let ▪, be a reductive Lie algebra over an algebraically closed field F with charF=p>0. Suppose G satisfies Jantzen's standard assumptions. Then the structure... 
formula omitted | Enveloping algebra | Prime characteristic | psl | pgl
Journal Article
Journal of the Egyptian Mathematical Society, ISSN 1110-256X, 01/2016, Volume 24, Issue 1, pp. 15 - 19
Journal Article
Communications in Algebra, ISSN 0092-7872, 03/2019, Volume 47, Issue 3, pp. 1153 - 1196
The theory of generalized Weyl algebras is used to study the 2 × 2 reflection equation algebra in the case that q is not a root of unity, where the R-matrix... 
16D60 (Secondary) | prime spectrum | 16T20 (Primary) | quantum algebra | reflection equation algebra | Generalized Weyl algebra | Algebra | Computation | Modules | Reflection | Topology | Formulas (mathematics) | Weight
Journal Article
Journal of Algebra, ISSN 0021-8693, 2008, Volume 320, Issue 3, pp. 1275 - 1287
The membership of the local cohomology modules H a n ( M ) of a module M in certain Serre subcategories of the category of modules is studied from below ( i <... 
Serre subcategory | [formula omitted]-depth | [formula omitted]-regular sequences | Local cohomology | S-depth | S-regular sequences | local cohomology | MATHEMATICS | IDEAL | ALGEBRAIC-VARIETIES | MODULES | DIMENSION | PRIMES | TEKNIKVETENSKAP | Engineering and Technology | Teknik och teknologier | TECHNOLOGY
Journal Article
Journal of Algebra, ISSN 0021-8693, 2008, Volume 320, Issue 5, pp. 1963 - 1982
Journal Article
Journal of Algebra, ISSN 0021-8693, 2012, Volume 349, Issue 1, pp. 284 - 316
Journal Article
Compositio Mathematica, ISSN 0010-437X, 09/2014, Volume 150, Issue 9, pp. 1485 - 1548
Let g = Lie(G) be the Lie algebra of a simple algebraic group G over an algebraically closed field of characteristic 0. Let e be a nilpotent element of g and... 
simple Lie algebra | finite W-algebra | nilpotent element | primitive ideal | MATHEMATICS | ELEMENTS | SLICES | PRIMITIVE-IDEALS | ENVELOPING-ALGEBRAS | GOLDIE RANK | NILPOTENT ORBITS | PRIME IDEALS | SIMPLE LIE-ALGEBRAS | 1-DIMENSIONAL REPRESENTATIONS | CONJUGACY CLASSES | Finite volume method | Algebra
Journal Article
Ergodic Theory and Dynamical Systems, ISSN 0143-3857, 05/2018, Volume 38, Issue 3, pp. 832 - 862
We investigate the K-theory of unital UCT Kirchberg algebras Q(S) arising from families S of relatively prime numbers. It is shown that K-*(Q(S)) is the direct... 
MATHEMATICS | STAR-ALGEBRAS | FUNCTOR | MATHEMATICS, APPLIED | SYSTEMS | CROSSED-PRODUCTS | Prime numbers | Dynamic tests | Algebra | Torsion | Classification | Mathematics - Operator Algebras
Journal Article
Journal of Algebra, ISSN 0021-8693, 2011, Volume 330, Issue 1, pp. 206 - 220
We continue the work of Aschbacher, Kinyon and Phillips (2006) [AKP06] as well as of Glauberman (1964, 1968) [G64,G68] by describing the structure of the... 
Structure of Bruck loop | Lagrange's Theorem | Fermat prime | Conjugacy classes of involutions | Loop envelope | Hall's Theorem | Finite Bruck loop | [formula omitted]-loop | Transversal | Sylow's Theorem | Twisted subgroup | Loop folder | Finite Bol loop | Ar-loop | BOL LOOPS | A(r)-loop | MATHEMATICS
Journal Article
Journal of Symbolic Computation, ISSN 0747-7171, 2009, Volume 44, Issue 7, pp. 786 - 800
We give an algorithm for constructing a basis and a multiplication table of a finite-dimensional finitely-presented Lie ring. Secondly, we give relations that... 
Finitely-presented Lie rings | Non-associative Gröbner bases | The [formula omitted]-Engel condition | The n-Engel condition | ORDER | MATHEMATICS, APPLIED | ALGEBRAS | PRIME | Non-associative Grobner bases | COMPUTER SCIENCE, THEORY & METHODS | Algorithms
Journal Article
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