2010, ISBN 9781616687878, xi, 296

Book

Topology and its Applications, ISSN 0166-8641, 06/2019, Volume 260, pp. 126 - 138

The article is devoted to microbundles over topological rings. Their structure, homomorphisms, automorphisms and extensions are studied. Moreover,...

Topological ring | Homomorphism | Microbundle | Inverse spectrum

Topological ring | Homomorphism | Microbundle | Inverse spectrum

Journal Article

01/2009, ISBN 1614707278

Book

Complex Variables and Elliptic Equations, ISSN 1747-6933, 07/2016, Volume 61, Issue 7, pp. 1014 - 1035

Vector mixed Sobolev-type partial differential equations (PDE) are studied. The technique of their integration over the octonion algebra is developed. Theorems...

octonion algebra | non-commutative | integration | 17A70 | 30G35 | partial differential equation | 17A05 | 35M10 | 35M20 | Integration | Non-commutative | Octonion algebra | Partial differential equation | MATHEMATICS | DIFFERENTIAL-EQUATIONS | Partial differential equations | Theorems | Complex variables | Algebra | Vectors (mathematics) | Mathematical analysis

octonion algebra | non-commutative | integration | 17A70 | 30G35 | partial differential equation | 17A05 | 35M10 | 35M20 | Integration | Non-commutative | Octonion algebra | Partial differential equation | MATHEMATICS | DIFFERENTIAL-EQUATIONS | Partial differential equations | Theorems | Complex variables | Algebra | Vectors (mathematics) | Mathematical analysis

Journal Article

JP Journal of Algebra, Number Theory and Applications, ISSN 0972-5555, 10/2015, Volume 37, Issue 2, pp. 185 - 208

Classes of non-associative algebroids and ringoids are investigated. The subclasses of directed non-associative algebroids and ringoids are studied as well....

Ringoid | Algebroid | Non-associative | Construction | Number theory | Algebra

Ringoid | Algebroid | Non-associative | Construction | Number theory | Algebra

Journal Article

Advances in Applied Clifford Algebras, ISSN 0188-7009, 6/2016, Volume 26, Issue 2, pp. 669 - 692

Dirac modules over the quaternion skew field on a compact domain are investigated. In particular this is true if such Dirac modules are equipped with the...

Quaternion module | Mathematical Methods in Physics | 46B15 | Theoretical, Mathematical and Computational Physics | 46B20 | Dirac kernel | 30G35 | Applications of Mathematics | Physics, general | Physics | Schauder basis | DIFFERENTIABLE FUNCTIONS | MATHEMATICS, APPLIED | BANACH-SPACES | REGULAR FUNCTIONS | VARIABLES | PHYSICS, MATHEMATICAL | OPERATORS | OCTONIONS

Quaternion module | Mathematical Methods in Physics | 46B15 | Theoretical, Mathematical and Computational Physics | 46B20 | Dirac kernel | 30G35 | Applications of Mathematics | Physics, general | Physics | Schauder basis | DIFFERENTIABLE FUNCTIONS | MATHEMATICS, APPLIED | BANACH-SPACES | REGULAR FUNCTIONS | VARIABLES | PHYSICS, MATHEMATICAL | OPERATORS | OCTONIONS

Journal Article

Journal of Function Spaces, ISSN 2314-8896, 2015, Volume 2015, pp. 1 - 7

Let Lambda = {lambda(k)}(k=1)(infinity) satisfy 0 < lambda(1) < lambda(2) < and ..., Sigma(infinity)(k=1)/lambda(k) < infinity and inf(k) (lambda(k+1) -...

MATHEMATICS | MATHEMATICS, APPLIED

MATHEMATICS | MATHEMATICS, APPLIED

Journal Article

Journal of Function Spaces, ISSN 2314-8896, 01/2015, Volume 2015

Let Lambda ={ sub( lambda k) super(}k=1 infinity ) satisfy 0< sub( lambda 1) < sub( l2) <... , super([summationoperator]k=1 infinity ) E1/ sub( lambda k) <...

Integers | Descriptions | Reproduction | Function space | Isomorphism | Subspaces | Filled plastics | Banach space

Integers | Descriptions | Reproduction | Function space | Isomorphism | Subspaces | Filled plastics | Banach space

Journal Article

Bulletin des sciences mathématiques, ISSN 0007-4497, 07/2014, Volume 138, Issue 5, pp. 585 - 601

This article is devoted to the investigation of structure of wrap groups of fiber bundles over ultra-normed infinite fields and more generally over...

Cayley–Dickson algebra | Fiber bundle | Infinite field | Non-archimedean norm | Wrap group | Cayley-Dickson algebra | MATHEMATICS, APPLIED | Fibers

Cayley–Dickson algebra | Fiber bundle | Infinite field | Non-archimedean norm | Wrap group | Cayley-Dickson algebra | MATHEMATICS, APPLIED | Fibers

Journal Article

Computational Methods and Function Theory, ISSN 1617-9447, 6/2012, Volume 12, Issue 1, pp. 279 - 306

Non-commutative line integration of Dirac operators over octonions and Cayley-Dickson algebras is investigated.

Cayley-Dickson algebras | Computational Mathematics and Numerical Analysis | 35G20 | Functions of a Complex Variable | hypercomplex numbers | 35G30 | 35F20 | 35F30 | non-commutative | 30G35 | Mathematics | 17A05 | line integration | 44A10 | 46F10 | Analysis | 17A70 | Dirac operator | partial differential operator | Partial differential operator | Non-commutative | Line integration | Hypercomplex numbers | MATHEMATICS | MATHEMATICS, APPLIED

Cayley-Dickson algebras | Computational Mathematics and Numerical Analysis | 35G20 | Functions of a Complex Variable | hypercomplex numbers | 35G30 | 35F20 | 35F30 | non-commutative | 30G35 | Mathematics | 17A05 | line integration | 44A10 | 46F10 | Analysis | 17A70 | Dirac operator | partial differential operator | Partial differential operator | Non-commutative | Line integration | Hypercomplex numbers | MATHEMATICS | MATHEMATICS, APPLIED

Journal Article

Advances in Applied Clifford Algebras, ISSN 0188-7009, 9/2013, Volume 23, Issue 3, pp. 701 - 739

Affiliated and normal operators in octonion Hilbert spaces are studied. Theorems about their properties and of related algebras are demonstrated. Spectra of...

spectra | octonion algebra | hypercomplex numbers | Theoretical, Mathematical and Computational Physics | non-commutative integration | Non-commutative functional analysis | operator algebra | Physics | operator | spectral measure | quaternion skew field | Mathematical Methods in Physics | Applications of Mathematics | Physics, general | MATHEMATICS, APPLIED | DIRAC OPERATORS | POTENTIALS | PHYSICS, MATHEMATICAL | QUATERNION | VARIABLES | Analysis | Algebra

spectra | octonion algebra | hypercomplex numbers | Theoretical, Mathematical and Computational Physics | non-commutative integration | Non-commutative functional analysis | operator algebra | Physics | operator | spectral measure | quaternion skew field | Mathematical Methods in Physics | Applications of Mathematics | Physics, general | MATHEMATICS, APPLIED | DIRAC OPERATORS | POTENTIALS | PHYSICS, MATHEMATICAL | QUATERNION | VARIABLES | Analysis | Algebra

Journal Article

Far East Journal of Mathematical Sciences, ISSN 0972-0871, 2009, Volume 32, Issue 2, pp. 169 - 180

Journal Article

03/2019

The article is devoted to microbundles over topological rings. Their structure, homomorphisms, automorphisms and extensions are studied. Moreover,...

Mathematics - General Topology

Mathematics - General Topology

Journal Article

Advances in Applied Clifford Algebras, ISSN 0188-7009, 12/2011, Volume 21, Issue 4, pp. 773 - 797

Differential equations with constant and variable coefficients over octonions are investigated. It is found that different types of differential equations over...

Cayley-Dickson algebras | Mathematical Methods in Physics | nonlinear partial differential equations | Systems of differential equations | Theoretical, Mathematical and Computational Physics | Applications of Mathematics | Physics, general | partial differential equations | noncommutative integration | Physics | MATHEMATICS, APPLIED | PHYSICS, MATHEMATICAL | Differential equations | Mathematics - Complex Variables

Cayley-Dickson algebras | Mathematical Methods in Physics | nonlinear partial differential equations | Systems of differential equations | Theoretical, Mathematical and Computational Physics | Applications of Mathematics | Physics, general | partial differential equations | noncommutative integration | Physics | MATHEMATICS, APPLIED | PHYSICS, MATHEMATICAL | Differential equations | Mathematics - Complex Variables

Journal Article

03/2013

2015, JP Journal of Algebra, Number Theory and Applications, V. 37: 2 Skew idempotent functionals of ordered semirings are studied. Different associative and...

Mathematics - Rings and Algebras

Mathematics - Rings and Algebras

Journal Article

03/2013

2014, Adv. Appl. in Mathem. Sciences, V. 13: 1 The article is devoted to topological homeomorphisms of Banach spaces over complete non-Archimedean normed...

Journal Article

01/2015, ISBN 1634827546

Book Chapter

06/2001

Quasi-invariant and pseudo-differentiable measures on a Banach space $X$ over a non-Archimedean locally compact infinite field with a non-trivial valuation are...

Mathematics - General Mathematics

Mathematics - General Mathematics

Journal Article

06/2001

Quasi-invariant and pseudo-differentiable measures on a Banach space $X$ over a non-Archimedean locally compact infinite field with a non-trivial valuation are...

Mathematics - General Mathematics

Mathematics - General Mathematics

Journal Article

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