Results 1 to 10 of about 5,998 (58)

Colimits in the category Seg of Segal topological algebras [PDF]

Proceedings of the Estonian Academy of Sciences, 2022
In this paper we find sufficient conditions for a direct system of Segal topological algebras to have a colimit in the category Seg of Segal topological algebras.
Mart Abel
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Coproducts in the category Seg of Segal topological algebras [PDF]

Proceedings of the Estonian Academy of Sciences, 2021
In this paper we find a sufficient condition for a family of Segal topological algebras to have a coproduct in the category Seg.
Mart Abel
doaj   +2 more sources

Coequalizers and pullbacks in the category Seg of Segal topological algebras [PDF]

Proceedings of the Estonian Academy of Sciences, 2021
In this paper we describe the coequalizers in the category Seg of Segal topological algebras and present some sufficient conditions for the existence of pullbacks in Seg.
Mart Abel
doaj   +2 more sources

About the cocompleteness of the category S(B) of Segal topological algebras [PDF]

Proceedings of the Estonian Academy of Sciences, 2020
In this paper, we show that the category S(B) of Segal topological algebras is cocomplete, i.e., that the colimits of all direct systems in the category S(B) exist.
Mart Abel
doaj   +3 more sources

Initial objects, terminal objects, zero objects, and equalizers in the category Seg of Segal topological algebras [PDF]

Proceedings of the Estonian Academy of Sciences, 2020
In this paper the initial, terminal, and zero objects in the category Seg of Segal topological algebras are described and some sufficient conditions under which the equalizers in Seg exist are found.
Mart Abel
doaj   +2 more sources

About the limits of inverse systems in the category S(B) of Segal topological algebras [PDF]

Proceedings of the Estonian Academy of Sciences, 2020
In this paper, we give a necessary condition for the existence of limits of all inverse systems and a sufficient condition for the existence of limits for all countable inverse systems in the category S(B) of Segal topological algebras.
Mart Abel
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About pushouts in the category φ(B) of Segal topological algebras; pp. 319–323 [PDF]

Proceedings of the Estonian Academy of Sciences, 2019
In this paper, we answer positively the open question, posed in [2], about the existence of pushouts in the category φ(B) of Segal topological algebras.
Mart Abel
doaj   +2 more sources

Constructing new Segal topological algebras from existing ones [PDF]

Proceedings of the Estonian Academy of Sciences
In this paper, we examine the properties of Segal topological algebras, looking at ways to construct new objects from existing ones. Equipped with the example of algebras (in the sense of vector spaces equipped with multiplication), we consider two ...
René Piik, Mart Abel
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Products and coproducts in the category S(B) of Segal topological algebras; pp. 89–99 [PDF]

Proceedings of the Estonian Academy of Sciences, 2019
Let B be a topological algebra and S(B) the category of Segal topological algebras. In the present paper we show that all coproducts of two objects of the category S(B) always exist.
Mart Abel
doaj   +2 more sources

Limits in the category Seg of Segal topological algebras [PDF]

Proceedings of the Estonian Academy of Sciences, 2022
In this paper we find several sufficient conditions for a family of Segal topological algebras to have a limit in the category Seg of Segal topological algebras.
Mart Abel
doaj   +1 more source