Zobrazeno 1 - 10
of 57
pro vyhledávání: '"Anastasios Mallios"'
Autor:
Anastasios Mallios, Elias Zafiris
Publikováno v:
Advances in Mathematical Physics, Vol 2011 (2011)
The mechanism of differential geometric calculus is based on the fundamental notion of a connection on a module over a commutative and unital algebra of scalars defined together with the associated de Rham complex. In this communication, we demonstra
Externí odkaz:
https://doaj.org/article/aecc70a9fdb9495cb8063cf5de5d25d8
Autor:
Anastasios Mallios, Elias Zafiris
Publikováno v:
Advances in Mathematical Physics, Vol 2011 (2011)
The homological Kähler-de Rham differential mechanism models the dynamical behavior of physical fields by purely algebraic means and independently of any background manifold substratum. This is of particular importance for the formulation of dynamic
Externí odkaz:
https://doaj.org/article/dc3746232a6143a1938161155aa313ff
Autor:
Anastasios Mallios, Elias Zafiris
This unique book provides a self-contained conceptual and technical introduction to the theory of differential sheaves. This serves both the newcomer and the experienced researcher in undertaking a background-independent, natural and relational appro
Autor:
Patrice P. Ntumba, Anastasios Mallios
Publikováno v:
Mediterranean Journal of Mathematics. 10:73-89
In classical linear algebra, extending the ring of scalars of a free module gives rise to a new free module containing an isomorphic copy of the former and satisfying a certain universal property. Also, given two free modules on the same ring of scal
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b79abe26ce0455612178a781efbfea44
https://doi.org/10.1007/s00009-011-0170-4
https://doi.org/10.1007/s00009-011-0170-4
Autor:
Anastasios Mallios
Publikováno v:
Complex Analysis and Operator Theory. 6:775-780
The term “\({\mathcal {A}}\) -invariance” refers to the invariance of our results, with respect to the “arithmetic” employed, viz. to an appropriate algebra sheaf\({\mathcal {A}}\) . This, combined with the categorical notion of “adjunction
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::659e9a92899081ffcc7ee5bf566dbf74
https://doi.org/10.1007/s11785-011-0156-z
https://doi.org/10.1007/s11785-011-0156-z
Autor:
Patrice P. Ntumba, Anastasios Mallios
Publikováno v:
Rendiconti del Circolo Matematico di Palermo. 58:169-198
In his [9–11], the first author shows that the sheaf-theoreti-cally based Abstract Differential Geometry incorporates and generalizes classical differential geometry. Here, we undertake to explore the implications of Abstract Differential Geometry
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::39d7c7d87637f40ef275280ddb7d6b56
https://doi.org/10.1007/s12215-009-0015-1
https://doi.org/10.1007/s12215-009-0015-1
Autor:
Anastasios Mallios, Patrice P. Ntumba
Publikováno v:
Rendiconti del Circolo Matematico di Palermo. 58:155-168
The approach to a counterpart, in Abstract Geometric Algebra, that is, Geometric Algebra via sheaves of modules, of the classical Witt’s decomposition theoremis based on the axiomatization of the classical context, which however leads to the formul
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::713f907f069cd47670a9523c16100e6f
https://doi.org/10.1007/s12215-009-0014-2
https://doi.org/10.1007/s12215-009-0014-2
Autor:
Anastasios Mallios, Patrice P. Ntumba
Publikováno v:
Quaestiones Mathematicae; Vol 31, No 4 (2008); 397-414
It is proved that for any free A-modules F and ∊ of finite rank on some C-algebraized space (X,A) a degenerate A-bilinear morphism Φ : F × ∊ → A induces a non-degenerate A-bilinear morphism Φ : F/∊ ⊥ × ∊/F ⊥ → A, where ∊ ⊥ and
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::207e99c0256353961570c2d5de6920ba
https://doi.org/10.2989/qm.2008.31.4.8.612
https://doi.org/10.2989/qm.2008.31.4.8.612
Autor:
Anastasios Mallios
Publikováno v:
International Journal of Theoretical Physics. 47:1929-1948
The sort of approach claimed by the title of this article is realizable, at least, within the framework of ADG where we do not assume any “spacetime” supplying the dynamics we employ. The latter classical type of argument can naturally be include
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3ad328fcbce21aedf8c219fe30171762
https://doi.org/10.1007/s10773-007-9637-2
https://doi.org/10.1007/s10773-007-9637-2
Autor:
Anastasios Mallios, Ali Oukhouya
Publikováno v:
Topological Algebras and Applications. :285-290
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f2286f9e3076bf86fc970ea0da0922f7
https://doi.org/10.1090/conm/427/08162
https://doi.org/10.1090/conm/427/08162