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Autor:
SOYLU YILMAZ, Elis
Publikováno v:
Issue: 40 46-53
Journal of New Theory
Journal of New Theory
In this work, we defined a new category called 4-Dimensional 2-crossed modules. We identified the subobjects and ideals in this category. The notion of the subobject is a generalization of ideas like subsets from set theory, subspaces from topology,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e4e4c44b210ee3b4a1efa882310ad90f
https://doi.org/10.53570/jnt.1148482
https://doi.org/10.53570/jnt.1148482
Autor:
Posina, Venkata Rayudu
Theinterplay between spaces and their qualities (cf. theory,broad objective logic) has been very productive;it moves mathematics towards evermore proper reflections of space in particular and of reality in general.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2c61fba31d66ff34f82b8e705c1e7f06
Autor:
Kianpi Maurice
Publikováno v:
Demonstratio Mathematica, Vol 47, Iss 3, Pp 555-580 (2014)
We study the notion of weak homomorphisms between coalgebras of different types generalizing thereby that of homomorphisms for similarly typed coalgebras. This helps extend some results known so far in the theory of Universal coalgebra over Set. We f
Externí odkaz:
https://doaj.org/article/d84308c1cf6b4dc59e7d1ee584a665a7
Autor:
Josef Šlapal
Publikováno v:
Quaestiones Mathematicae; Vol. 45 No. 4 (2022); 513-522
In the paper, we introduce the concept of a preorder on a category and study its relation to categorical closure operators. In particular, employing a Galois connection, we show that there is a one-to-one correspondence between the idempotent closure
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::48bf73c235a9ac08303cca729148c253
https://doi.org/10.2989/16073606.2021.1884141
https://doi.org/10.2989/16073606.2021.1884141
Autor:
Mustafa Kemal Berktaş
Publikováno v:
Bulletin of the Iranian Mathematical Society. 48:187-192
It is shown that if A is an object in an exactly definable category $${\mathcal {C}}$$ such that A has finite pure Goldie dimension and that every pure monomorphism $$A\rightarrow A$$ is an isomorphism, then its endomorphism ring $$\hbox {End}_{{\mat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fc5cf192330a133d99f468d11c7c0a4d
https://doi.org/10.1007/s41980-020-00508-0
https://doi.org/10.1007/s41980-020-00508-0
Autor:
Josef Šlapal
Publikováno v:
Aequationes mathematicae. 96:129-136
Given a subobject-structured category $$\mathcal X$$ , we construct a new category whose objects are the pairs (X, c) where X is an $$\mathcal X$$ -object and c is an idempotent, monotonic and extensive endomap of the subobject lattice of X, and whos
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d26a2cf1cfa2086dad0bae29d52f63fb
https://doi.org/10.1007/s00010-020-00772-9
https://doi.org/10.1007/s00010-020-00772-9
Autor:
Ryo Nojima
Publikováno v:
Annales Henri Poincaré. 21:3217-3251
For a given finite index inclusion of strongly additive conformal nets $$\mathcal {B}\subset \mathcal {A}$$ and a compact group $$G < {{\,\mathrm{Aut}\,}}(\mathcal {A}, \mathcal {B})$$ , we consider the induction and the restriction procedures for tw
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::54cefa0068fc7eec432ff3cacdb996d5
https://doi.org/10.1007/s00023-020-00952-y
https://doi.org/10.1007/s00023-020-00952-y