2014, Mathematical surveys and monographs, ISBN 9781470417109, Volume 200, vii, 240

Differential equations, Elliptic | Nonassociative rings and algebras -- Jordan algebras (algebras, triples and pairs) -- Jordan algebras (algebras, triples and pairs) | Nonassociative rings and algebras -- General nonassociative rings -- Division algebras | Differential geometry -- Global differential geometry -- Calibrations and calibrated geometries | Partial differential equations -- Elliptic equations and systems -- Nonlinear elliptic equations | Associative rings and algebras -- Algebras and orders -- Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) | Calculus of variations and optimal control; optimization -- Manifolds -- Minimal surfaces | Jordan algebras | Nonassociative rings

Book

2013, Mathematical surveys and monographs, ISBN 9780821898468, Volume 189, xiii, 336

Book

2014, Graduate studies in mathematics, ISBN 1470418495, Volume 159, xiv, 229 pages

Geometry -- Linear incidence geometry -- Non-Desarguesian affine and projective planes | Geometry -- Linear incidence geometry -- General theory and projective geometries | Geometry -- Linear incidence geometry -- Configuration theorems | Geometry -- Ring geometry (Hjelmslev, Barbilian, etc.) -- Ring geometry (Hjelmslev, Barbilian, etc.) | Nonassociative algebras | Nonassociative rings and algebras -- Other nonassociative rings and algebras -- Alternative rings | Geometry, Projective | Geometry -- Linear incidence geometry -- Algebraization | Nonassociative rings and algebras -- Jordan algebras (algebras, triples and pairs) -- Jordan structures associated with other structures

Book

2015, Volume 652.

Conference Proceeding

5.
Full Text
Piecewise ⁎-homomorphisms and Jordan maps on C⁎-algebras and factor von Neumann algebras

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 06/2018, Volume 462, Issue 1, pp. 1014 - 1031

We investigate maps between -algebras that are well behaved with respect to mutually commuting elements. We contribute to the Mackey–Gleason problem by showing...

Mackey–Gleason problem | Jordan type maps on [formula omitted]-algebras | Piecewise isomorphisms | algebras | Jordan type maps on C | MATHEMATICS | Mackey-Gleason problem | MATHEMATICS, APPLIED | UNITARY GROUPS | Jordan type maps on C-algebras | TRIPLE ENDOMORPHISMS | ISOMETRIES

Mackey–Gleason problem | Jordan type maps on [formula omitted]-algebras | Piecewise isomorphisms | algebras | Jordan type maps on C | MATHEMATICS | Mackey-Gleason problem | MATHEMATICS, APPLIED | UNITARY GROUPS | Jordan type maps on C-algebras | TRIPLE ENDOMORPHISMS | ISOMETRIES

Journal Article

2015, Volume 650.

Conference Proceeding

1984, ISBN 9780273086192, Volume 21., viii, 183

Book

1985, North-Holland mathematics studies, ISBN 0444876510, Volume 96, xii, 444

Book

2012, Cambridge tracts in mathematics, ISBN 1107016177, Volume 190, x, 261

Jordan theory has developed rapidly in the last three decades, but very few books describe its diverse applications. Here, the author discusses some recent...

Functional analysis | Jordan algebras | Geometry, Differential | Lie algebras

Functional analysis | Jordan algebras | Geometry, Differential | Lie algebras

Book

Communications in Algebra, ISSN 0092-7872, 03/2019, Volume 47, Issue 3, pp. 1057 - 1066

If V is a finite-dimensional unital commutative (maybe nonassociative) algebra carrying an associative positive definite bilinear form then there exist a...

Primary 17A99 | Jordan algebras of Clifford type | axial algebras | idempotents | Jordan algebras | Associative bilinear form | commutative nonassociative algebras | 17C27 | MATHEMATICS | SUBALGEBRAS | Algebra | Commutative nonassociative algebras; Associative bilinear form; Idempotents; Jordan algebras; Jordan algebras of Clifford type; Axial algebras | Naturvetenskap | Algebra and Logic | Algebra och logik | Mathematics | Natural Sciences | Matematik

Primary 17A99 | Jordan algebras of Clifford type | axial algebras | idempotents | Jordan algebras | Associative bilinear form | commutative nonassociative algebras | 17C27 | MATHEMATICS | SUBALGEBRAS | Algebra | Commutative nonassociative algebras; Associative bilinear form; Idempotents; Jordan algebras; Jordan algebras of Clifford type; Axial algebras | Naturvetenskap | Algebra and Logic | Algebra och logik | Mathematics | Natural Sciences | Matematik

Journal Article

2013, Mathematical surveys and monographs, ISBN 9780821849378, Volume no. 191., viii, 276

Book

2007, Pure and applied mathematics., ISBN 9781584886259, xix, 548

Book

Linear Algebra and Its Applications, ISSN 0024-3795, 12/2015, Volume 486, pp. 255 - 274

In 1990 Kantor introduced the conservative algebra of all algebras (i.e. bilinear maps) on the -dimensional vector space. In case the algebra does not belong...

Bilinear maps | Derivations | Lie algebra | Jordan algebra | Subalgebras | Conservative algebra | MATHEMATICS, APPLIED | CODIMENSION-ONE | DELTA-DERIVATIONS | LIE-ALGEBRAS | MATHEMATICS | JORDAN SUPERALGEBRAS | INVOLUTION | Algebra

Bilinear maps | Derivations | Lie algebra | Jordan algebra | Subalgebras | Conservative algebra | MATHEMATICS, APPLIED | CODIMENSION-ONE | DELTA-DERIVATIONS | LIE-ALGEBRAS | MATHEMATICS | JORDAN SUPERALGEBRAS | INVOLUTION | Algebra

Journal Article

1973, Ergebnisse der Mathematik und ihrer Grenzgebiete, Volume Bd. 75, 168

Book

1969, Tata Institute of Fundamental Research. Lectures on mathematics and physics., Volume 45, 1 v. (various pagings)

Book

Communications in Algebra, ISSN 0092-7872, 09/2016, Volume 44, Issue 9, pp. 3788 - 3795

In this article, we introduce the notion of algebra of quotients of a Jordan-Lie algebra. Properties such as semiprimeness or primeness can be lifted from a...

Partial derivation | Jordan-Lie algebras | Semiprime | 17B40 | Quotients | 17B10 | Jordan–Lie algebras | MATHEMATICS | RING | Construction | Algebra

Partial derivation | Jordan-Lie algebras | Semiprime | 17B40 | Quotients | 17B10 | Jordan–Lie algebras | MATHEMATICS | RING | Construction | Algebra

Journal Article

Soft Computing, ISSN 1432-7643, 9/2019, Volume 23, Issue 17, pp. 7513 - 7536

We define a state as a [0, 1]-valued, finitely additive function attaining the value 1 on an EMV-algebra, which is an algebraic structure close to MV-algebras,...

Artificial Intelligence | State-morphism | Jordan signed measure | Strong pre-state | Integral representation of states | MV-algebra | Engineering | The Horn–Tarski theorem | Computational Intelligence | Control, Robotics, Mechatronics | Pre-state | State | EMV-algebra | Mathematical Logic and Foundations | Krein–Mil’man representation | Algebra

Artificial Intelligence | State-morphism | Jordan signed measure | Strong pre-state | Integral representation of states | MV-algebra | Engineering | The Horn–Tarski theorem | Computational Intelligence | Control, Robotics, Mechatronics | Pre-state | State | EMV-algebra | Mathematical Logic and Foundations | Krein–Mil’man representation | Algebra

Journal Article

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