Results 81 to 90 of about 12,793,786 (229)
Structure of factor algebras and clifford algebra
Linear Algebra and its Applications, 1996 This paper is concerned with the generalized spectral decomposition or eigenprojector form of a linear operator over any field that is a splitting field of its minimal polynomial. A number system is constructed which is isomorphic to the factor ring \(\mathbb{C} [\lambda]/ \langle\psi \rangle\) for an arbitrary polynomial \(\psi\).
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On the structure of algebraic cobordism [PDF]
Advances in Mathematics, 2018 In this paper we investigate the structure of algebraic cobordism of Levine-Morel as a module over the Lazard ring with the action of Landweber-Novikov and symmetric operations on it. We show that the associated graded groups of algebraic cobordism with respect to the topological filtration $ ^*_{(r)}(X)$ are unions of finitely presented $\mathbb{L ...
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N-Algebraic Structures and S-N-Algebraic Structures
, 2006 For the first time, we have introduced the concept of N-groups, N-semigroups, N-loops, and N-groupoids. We also define a mixed N-algebraic structure. The main aim of this book is to attract young mathematicians to this interesting field. It contains more than 200 new definitions.
Kandasamy, W. B. Vasantha +1 more
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The Structure of Galois Algebras
Journal of Algebra, 2001 The authors show that if \(B\) is a Galois algebra with Galois group \(G\), then \(B\) is either a direct sum of central Galois algebras or a direct sum of central Galois algebras and a commutative Galois algebra. If \(G\) is inner, then \(B\) is either a direct sum of Azumaya projective group algebras or a direct sum of Azumaya projective group ...
George Szeto, Lianyong Xue
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On the algebraic structure of Pythagorean triples
Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e NaturaliA Pythagorean triple is an ordered triple of integers (a,b,c) ≠ (0, 0, 0) such that a^2 + b^2 = c^2. It is well known that the set ℘ of all Pythagorean triples has an intrinsic structure of commutative monoid with respect to a suitable binary operation (℘
Giuseppina Anatriello, Giovanni Vincenzi
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Pairing Optimization via Statistics: Algebraic Structure in Pairing Problems and Its Application to Performance Enhancement. [PDF]
Entropy (Basel), 2023 Fujita N +6 more
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Free algebra structure: categorical algebras [PDF]
Bulletin of the Australian Mathematical Society, 1970 One of the more important concepts in the study of universal algebras is that of a free algebra. It is our purpose in this communication to describe the structure of the free algebra Kk() of k generators (k a positive integer) determined by a categorical algebra, and to indicate how this information encompasses results in such diverse areas as the ...
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Algebraic structure and basics of analysis of n-dimensional quaternionic space. [PDF]
Heliyon, 2021 Altun D, Yüce S.
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The structure of the polytope algebra
Tohoku Mathematical Journal, 1997 The polytope algebra \(\Pi\) is the universal group for translation-invariant valuations on convex polytopes in a finite-dimensional real vector space. This group is endowed with a multiplication, via Minkowski sum of polytopes, and the action of the group of dilations on \(\Pi\) can be diagonalized; this almost makes \(\Pi\) a graded algebra over ...
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Algebraic structure of genetic inheritance
, 1997 . In this paper we will explore the nonassociative algebraic structure that naturally occurs as genetic information gets passed down through the generations. While modern understanding of genetic inheritance initiated with the theories of Charles Darwin,
Mary Lynn Reed
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