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Proceedings of the Estonian Academy of Sciences

ISSN 1736-7530 (electronic)   ISSN 1736-6046 (print)
Formerly: Proceedings of the Estonian Academy of Sciences, series Physics & Mathematics and  Chemistry
Published since 1952

Proceedings of the Estonian Academy of Sciences

ISSN 1736-7530 (electronic)   ISSN 1736-6046 (print)
Formerly: Proceedings of the Estonian Academy of Sciences, series Physics & Mathematics and  Chemistry
Published since 1952
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Products and coproducts in the category S(B) of Segal topological algebras; pp. 89–99

(Full article in PDF format) https://doi.org/10.3176/proc.2019.1.09


Authors

Mart Abel

Abstract

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. We also find necesssary and sufficient conditions under which the products of two objects of the category S(B) exist.

Keywords

Segal topological algebra, category, product, coproduct.

References

1. Abel , M. Generalisation of Segal algebras for arbitrary topological algebras. Period. Math. Hung. , 2018 , 77(1) , 58–68.
https://doi.org/10.1007/s10998-017-0222-z

2. Abel , M. About some categories of Segal topological algebras. Poincare J. Anal. Appl. , (submitted).

3. Abel , M. Initial , terminal and zero objects in the category S(B) of Segal topological algebras. In Proceedings of the ICTAA 2018; Math. Stud. (Tartu) , 2018 , 7 , 7–24.

4. Abel , M. About products in the category S(B) of Segal topological algebras. In Proceedings of the ICTAA 2018; Math. Stud. (Tartu) , 2018 , 7 , 25–32.

5. Beidar , K. I. , Martindale III , W. S. , and Mikhalev , A. V. Rings with Generalized Identities. Monographs and Textbooks in Pure and Applied Mathematics , 196. Marcel Dekker , Inc. , New York , 1996.

6. Rotman , J. J. An Introduction to Homological Algebra. Second Edition. Springer , New York , 2009.
https://doi.org/10.1007/b98977

 
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Current Issue: Vol. 68, Issue 1, 2019




Publishing schedule:
No. 1: 20 March
No. 2: 20 June
No. 3: 20 September
No. 4: 20 December