Results 11 to 20 of about 4,395,218 (46)

Complements of intervals and prefrattini subalgebras of solvable Lie algebras. [PDF]

open access: yes, 2013
In this paper we study a Lie-theoretic analogue of a generalisation of the prefrattini subgroups introduced by W. Gasch¨utz. The approach follows that of P. Hauck and H.
Towers, David A.
core   +4 more sources

On semi-modular subalgebras of Lie algebras over fields of arbitrary characteristic. [PDF]

open access: yes, 2008
This paper is a further contribution to the extensive study by a number of authors of the subalgebra lattice of a Lie algebra. It is shown that, in certain circumstances, including for all solvable algebras, for all restricted Lie algebras over ...
Towers, David A.
core   +4 more sources

On Lie algebras all of whose minimal subalgebras are lower modular. [PDF]

open access: yes, 2004
The main purpose of this paper is to study Lie algebras L such that if a subalgebra U of L has a maximal subalgebra of dimension one then every maximal subalgebra of U has dimension one. Such an L is called lm(0)-algebra.
Kevin Bowman   +5 more
core   +4 more sources

Almost nilpotent Lie algebras [PDF]

open access: yes, 1987
Throughout we shall consider only finite-dimensional Lie algebras over a field of characteristic zero. In [3] it was shown that the classes of solvable and of supersolvable Lie algebras of dimension greater than two are characterised by the structure of ...
Towers, David
core   +4 more sources

Pseudo-differential equations, and the Bethe ansatz for the classical Lie algebras [PDF]

open access: yes, 2007
The correspondence between ordinary differential equations and Bethe ansatz equations for integrable lattice models in their continuum limits is generalised to vertex models related to classical simple Lie algebras.
Dunning, Clare   +4 more
core   +1 more source

Implicative algebras and Heyting algebras can be residuated lattices [PDF]

open access: yes, 2017
The commutative residuated lattices were first introduced by M. Ward and R.P. Dilworth as generalization of ideal lattices of rings. Complete studies on residuated lattices were developed by H. Ono, T. Kowalski, P. Jipsen and C. Tsinakis.
Basim Samir   +3 more
core   +3 more sources

Topos-Theoretic Approaches to Quantum Theory [PDF]

open access: yes, 2012
Starting from a naive investigation into the nature of experiments on a physical system one can argue that states of the system should pair non-degenerately with physical observables. This duality is closely related to that between space and quantity, or,
Vákár, Matthijs, Matthijs Vakar
core  

The variety generated by order algebras [PDF]

open access: yes, 2002
Every ordered set can be considered as an algebra in a natural way. We investigate the variety generated by order algebras. We prove, among other things, that this variety is not finitely based and, although locally finite, it is not contained in any ...
Maróti, Miklós   +5 more
core   +1 more source

Etale algebras over finite Heyting algebras [PDF]

open access: yes
In this paper, we investigate the concept of local homeomorphism in Esakia spaces. We introduce the notion of etale Heyting H-algebra and establish category-theoretic duality for etale Heyting H-algebra in the case of finite Heyting algebra H ...
Evgeny, Kuznetsov
core   +1 more source

Dual intuitionistic logic and Co-Heyting algebras

open access: yes, 2009
Presentamos ejemplos de álgebras de Heyting, co-Heyting y bi-Heyting y relaciones con las lógicas intuicionista, dual-intuicionista y bi-intuicionista. Estudiamos los operadores modales descritos en Reyes and Zolfaghari, 1996. Finalmente, indicamos una
Gutiérrez Chaparro, Javier Alberto
core  

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