Results 21 to 30 of about 3,277 (246)
On the Computing of Symbolic 2-Plithogenic And 3-Plithogenic Complex Roots of Unity [PDF]
Neutrosophic Sets and Systems, 2023 The concept of unity roots plays a central role in the theory of field extensions and polynomials roots' computing. The objective of this paper is to find the algebraic formula for computing the symbolic 2-plithogenic and 3-plithogenic complex roots of ...
Nabil Khuder Salman
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Extension of Algebraic Theories [PDF]
Proceedings of the American Mathematical Society, 1972 The algebraic theories of Lawvere are extended in a natural way to small complete categories. These categories exhibit not only the operations and identities, but some of the homomorphisms, functions, objects and constructions which are encountered when working within the algebraic categories associated with the theories.
Peake, E. J., Peters, G. R.
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Explicitly solvable systems of two autonomous first-order Ordinary Differential Equations with homogeneous quadratic right-hand sides [PDF]
Open Communications in Nonlinear Mathematical Physics, 2021 After tersely reviewing the various meanings that can be given to the property of a system of nonlinear ODEs to be solvable, we identify a special case of the system of two first-order ODEs with homogeneous quadratic right-hand sides which is explicitly ...
Francesco Calogero, Farrin Payandeh
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Resonant superalgebras for supergravity
European Physical Journal C: Particles and Fields, 2022 Considering supergravity theory is a natural step in the development of gravity models. This paper follows the “algebraic“ path and constructs possible extensions of the Poincaré and Anti-de-Sitter algebras, which inherit their basic commutation ...
Remigiusz Durka, Krzysztof M. Graczyk
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Quasitilted extensions of algebras I [PDF]
Proceedings of the American Mathematical Society, 2000 The authors continue the investigations of part I [Proc. Am. Math. Soc. 129, No. 5, 1289-1297 (2001; Zbl 0970.16009)]. Main results: Theorem A. Let \(A\) be an indecomposable quasitilted algebra and let \(M\) be a nonzero decomposable \(A\)-module in \(\text{add}({\mathcal L}_A\cap{\mathcal R}_A)\). The following are equivalent: (a) \(A[M]\) is tilted,
Coelho, Flávio Ulhoa +2 more
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A topological interpretation of three Leibnizian principles within the functional extensions [PDF]
Logical Methods in Computer Science, 2018 Three philosophical principles are often quoted in connection with Leibniz: "objects sharing the same properties are the same object" (Identity of indiscernibles), "everything can possibly exist, unless it yields contradiction" (Possibility as ...
Marco Forti
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Extensions of uniform algebras [PDF]
Banach Journal of Mathematical Analysis, 2019 The theory of algebraic extensions of Banach algebras is well established, and there are many constructions which yield interesting extensions. In particular, Cole's method for extending uniform algebras by adding square roots of functions to a given uniform algebra has been used to solve many problems within uniform algebra theory.
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Projective varieties have countably many real forms
Comptes Rendus. Mathématique, 2023 In this note, we check that a complex projective algebraic variety has (at most) countably many real forms. We more generally prove it when the field of reals is replaced with a field that has only countably many finite extensions up to isomorphism.
Labinet, Timothée L.
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Extensions of algebraic systems [PDF]
Transactions of the American Mathematical Society, 1984 There are several generalizations to universal algebras of the notion "The groupA\mathfrak {A}is an extension of the groupB\mathfrak {B}by the groupC\mathfrak {C}". In this paper we study three such generalizations and the corresponding products of classes of algebraic systems. Various results are presented.
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Extensions of algebraic groups [PDF]
, 2006 Let $G$ be a connected complex algebraic group and $A$ a connected abelian algebraic group endowed with an algebraic action of $G$ by group automorphisms. In the present note we describe the abelian group $\Ext_{alg}(G,A)$ of algebraic group extensions of $G$ by $A$ in terms of a short exact sequence relating the ext-group to a relative second Lie ...
Kumar, S., Neeb, K. -H.
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