Results 11 to 20 of about 21,799 (256)

Model-theoretic properties of nilpotent groups and Lie algebras

open access: yesJournal of Algebra
45 ...
Christian d'Elbée   +3 more
openaire   +4 more sources

Algebraic and Model Theoretic Properties of O-minimal Exponential Fields [PDF]

open access: yesThe Bulletin of Symbolic Logic, 2021
AbstractAn exponential $\exp $ on an ordered field $(K,+,-,\cdot ,0,1,<)$ is an order-preserving isomorphism from the ordered additive group $(K,+,0,<)$ to the ordered multiplicative group of positive elements $(K^{>0},\cdot ,1,<)$ . The structure $(K,+,-,\cdot ,0,1,<,\exp )$ is then called an ordered exponential field (cf. [6]).
openaire   +1 more source

Linear Algebra and Smarandache Linear Algebra [PDF]

open access: yes, 2003
The present book, on Smarandache linear algebra, not only studies the Smarandache analogues of linear algebra and its applications, it also aims to bridge the need for new research topics pertaining to linear algebra, purely in the algebraic sense.
Vasantha, Kandasamy
core   +1 more source

Quantum cluster algebra structures on quantum Grassmannians and their quantum Schubert cells : the finite-type cases [PDF]

open access: yes, 2010
We exhibit quantum cluster algebra structures on quantum Grassmannians and their quantum Schubert cells, as well as on , and . These cases are precisely those where the quantum cluster algebra is of finite type, and the structures we describe quantize ...
Launois, Stéphane   +3 more
core   +1 more source

Lie 2-algebra models [PDF]

open access: yes, 2014
In this paper, we begin the study of zero-dimensional field theories with fields taking values in a semistrict Lie 2-algebra. These theories contain the IKKT matrix model and various M-brane related models as special cases.
Saemann, Christian; id_orcid   +3 more
core   +1 more source

The Weil algebra and the Van Est isomorphism [PDF]

open access: yes, 2011
This paper belongs to a series of papers devoted to the study of the cohomology of classifying spaces. Generalizing the Weil algebra of a Lie algebra and Kalkman’s BRST model, here we introduce the Weil algebra W(A) associated to any Lie algebroid A.
Marius Crainic   +9 more
core   +1 more source

Quantifier Elimination and Other Model-Theoretic Properties of BL-Algebras

open access: yesNotre Dame Journal of Formal Logic, 2011
This work presents a model-theoretic approach to the study of firstorder theories of classes of BL-chains. Among other facts, we present several classes of BL-algebras, generating the whole variety of BL-algebras whose firstorder theory has quantifier elimination. Model-completeness and decision problems are also investigated.
Tommaso Cortonesi   +2 more
openaire   +5 more sources

Ring-theoretic properties of augmented Iwasawa algebras

open access: yes, 2023
Let p be a prime, G be a p-adic Lie group and k be a field of characteristic p. The augmented Iwasawa algebra kG is a noncommutative algebra extending the construction of the Iwasawa algebra of a compact p-adic Lie group.
Timmins, James
core   +1 more source

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