Results 11 to 20 of about 19,149 (335)
GRÖBNER–SHIRSHOV BASES FOR L-ALGEBRAS [PDF]
International Journal of Algebra and Computation, 2013 In this paper, we first establish Composition-Diamond lemma for Ω-algebras. We give a Gröbner–Shirshov basis of the free L-algebra as a quotient algebra of a free Ω-algebra, and then the normal form of the free L-algebra is obtained. Second we establish Composition-Diamond lemma for L-algebras.
Bokut, L. A. +2 more
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Journal of Mathematics, 2021 Set L≔H4⊗ℂR, R≔ℂt±1, and S≔ℂt±1/mm∈ℤ+. Then, L is called the loop Nappi–Witten Lie algebra. R-isomorphism classes of S/R forms of L are classified. The automorphism group and the derivation algebra of L are also characterized.
Xue Chen
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Ideals and Congruences in L-algebras and Pre-L-algebras
, 2023 We link the recent theory of $L$-algebras to previous notions of Universal Algebra and Categorical Algebra concerning subtractive varieties, commutators, multiplicative lattices, and their spectra. We show that the category of $L$-algebras is subtractive and normal in the sense of Zurab Janelidze, but neither the category of $L$-algebras nor that of ...
Facchini, Alberto +2 more
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Bulletin of the Section of Logic, 2023 The main goal of this paper is to introduce the notion of stabilizers in \(L\)-algebras and develop stabilizer theory in \(L\)-algebras. In this paper, we introduced the notions of left and right stabilizers and investigated some related properties of them. Then, we discussed the relations among stabilizers, ideal and co-annihilators. Also, we obtained
Gholam Reza Rezaei, Mona Aaly Kologani
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On RM-algebras with an additional condition [PDF]
Journal of Mahani Mathematical ResearchIn this paper, we apply a new condition to RM-algebras. We obtain some relations among this condition with another axioms in some algebras of logic and some examples are given to illustrate them. %It is proved We prove that the relation derived from this
Akbar Rezaei
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Heterotic string field theory with cyclic L-infinity structure [PDF]
, 2019 We construct a complete heterotic string field theory that includes both the Neveu-Schwarz and Ramond sectors. We give a construction of general string products, which realizes a cyclic L-infinity structure and thus provides with a gauge-invariant action
Kunitomo, Hiroshi, Sugimoto, Tatsuya
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Homotopy algebra of open-closed strings [PDF]
, 2006 This paper is a survey of our previous works on open-closed homotopy algebras, together with geometrical background, especially in terms of compactifications of configuration spaces (one of Fred's specialities) of Riemann surfaces, structures on loop ...
Kajiura, Hiroshige, Stasheff, Jim
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Unimodular homotopy algebras and Chern-Simons theory [PDF]
, 2015 Quantum Chern-Simons invariants of differentiable manifolds are analyzed from the point of view of homological algebra. Given a manifold M and a Lie (or, more generally, an L-infinity) algebra g, the vector space H^*(M) \otimes g has the structure of an ...
Braun, Christopher, Lazarev, Andrey
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Quasilocal angular momentum of gravitational fields in (2+2) formalism
EPJ Web of Conferences, 2018 Recently the Poisson algebra of a quasilocal angular momentum of gravitational fields L(ξ) in (2+2) formalism of Einstein’s theory was studied in detail [1].
Oh Seung Hun, Yoon Jong Hyuk
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L∞-algebras and the perturbiner expansion [PDF]
Journal of High Energy Physics, 2019 Abstract Certain classical field theories admit a formal multi-particle solution, known as the perturbiner expansion, that serves as a generating function for all the tree-level scattering amplitudes and the Berends-Giele recursion relations they satisfy.
Cristhiam Lopez-Arcos +1 more
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