Results 101 to 110 of about 70,846 (249)
International Journal of Mathematics and Mathematical Sciences, 2002 We develop some basic functorial techniques for the study of the categories of comodules over corings. In particular, we prove that the induction functor stemming from every morphism of corings has a left adjoint, called ad-induction functor.
J. Gómez-Torrecillas
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Sliding Functor and Polarization Functor for Multigraded Modules [PDF]
Communications in Algebra, 2012 We define "sliding functors", which are exact endofunctors of the category of multi-graded modules over a polynomial ring. They preserve several invariants of modules, especially the (usual) depth and Stanley depth. In a similar way, we can also define the "polarization functor".
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On the equvialence of colimits and 2-colimits
, 2019 We compare the colimit and 2-colimit of strict 2-functors in the 2-category of groupoids, over a certain type of posets. These posets are of special importance, as they correspond to coverings of a topological space.
Pirashvili, Ilia
core
On monomorphic topological functors with finite supports
Karpatsʹkì Matematičnì Publìkacìï, 2012 We prove that a monomorphic functor $F:CompoComp$ with finite supports isepimorphic, continuous,and its maximal $emptyset$-modification $F^circ$ preserves intersections.
Banakh T. O. +2 more
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Steenrod-Cech homology-cohomology theories associated with bivariant\n functors [PDF]
, 2011 Kohei Yoshida
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On the continuity of functors of the type C(X, Y)
, 2020 Hleb O. Kukrak, V. L. Timokhovich
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Communications in Algebra, 2003 We prove that the description of cubic functors is a wild problem in the sense of the representation theory. On the contrary, we describe several special classes of such functors (2-divisible, weakly alternative, vector spaces and torsion free ones). We also prove that cubic functors can be defined locally and obtain corollaries about their projective ...
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Regular L-fuzzy topological spaces and their topological modifications
International Journal of Mathematics and Mathematical Sciences, 2000 For L a continuous lattice with its Scott topology, the functor ιL makes every regular L-topological space into a regular space and so does the functor ωL the other way around.
T. Kubiak, M. A. de Prada Vicente
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The Szymczak Functor on the Category of Finite Sets and Finite Relations [PDF]
, 2022 Marian Mrożek +2 more
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Graded character rings, Mackey functors and Tambara functors [PDF]
, 2018 Let $G$ be a finite group and $\mathbb{K}$ a field of characteristic zero. the ring $R_\mathbb{K}(G)$ of virtual characters of $G$ over $\mathbb{K}$ is naturally endowed with a so-called Grothendieck filtration, with associated graded ring $R^*_\mathbb{K}(G)$. Restriction of representations to any $H\leq G$ induces a homomorphism $R^*_\mathbb{K}(G) \to
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