Results 11 to 20 of about 71,081 (192)

Ideal theory on EQ-algebras

open access: yesAIMS Mathematics, 2021
In this article, we introduce ideals and other special ideals on EQ-algebras, such as implicative ideals, primary ideals, prime ideals and maximal ideals.
Jie Qiong Shi, Xiao Long Xin
doaj   +1 more source

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

open access: yesProceedings 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   +1 more source

Solutions of Yang–Baxter Equation of Mock-Lie Algebras and Related Rota Baxter Algebras

open access: yesComputer Sciences & Mathematics Forum, 2023
This paper discusses the relationship between Mock-Lie algebras, Lie algebras, and Jordan algebras. It highlights the importance of the Yang–Baxter equation and symplectic forms in the study of integrable systems, quantum groups, and topological quantum ...
Amir Baklouti
doaj   +1 more source

About pushouts in the category φ(B) of Segal topological algebras; pp. 319–323 [PDF]

open access: yesProceedings 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   +1 more source

Constructing new Segal topological algebras from existing ones [PDF]

open access: yesProceedings 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
doaj   +1 more source

Isomorphisms of some algebras of analytic functions of bounded type on Banach spaces

open access: yesМатематичні Студії, 2021
The theory of analytic functions is an important section of nonlinear functional analysis. In many modern investigations topological algebras of analytic functions and spectra of such algebras are studied.
S.I. Halushchak
doaj   +1 more source

Topological convolution algebras [PDF]

open access: yes, 2013
In this paper we introduce a new family of topological convolution algebras of the form $\bigcup_{p\in\mathbb N} L_2(S,\mu_p)$, where $S$ is a Borel semi-group in a locally compact group $G$, which carries an inequality of the type $\|f*g\|_p\le A_{p,q}\|
Alpay, Daniel, Salomon, Guy
core   +3 more sources

On the Wielandt and Bhatt-Dedania Theorems [PDF]

open access: yesAl-Rafidain Journal of Computer Sciences and Mathematics
In this paper, we generalize a norm topology in Wielandt’s theorem for unital normed algebras and in Bhatt-Dedania’s theorem for Banach algebras, with each element being a zero topological divisor, by using 2-normed algebra and 2-Banach ...
Ekram Abdullah   +2 more
doaj   +1 more source

Constructive algebraic topology

open access: yesBulletin des Sciences Mathématiques, 2002
The classical ``computation'' methods in Algebraic Topology most often work by means of highly infinite objects and in fact +are_not+ constructive. Typical examples are shown to describe the nature of the problem. The Rubio-Sergeraert solution for Constructive Algebraic Topology is recalled.
Rubio, J., Sergeraert, F.
openaire   +6 more sources

Unital associahedra [PDF]

open access: yes, 2011
We construct a topological cellular operad such that the algebras over its cellular chains are the homotopy unital A-infinity algebras of Fukaya-Oh-Ohta-Ono.Comment: 22 pages, EPS color ...
Muro, Fernando, Tonks, Andrew
core   +2 more sources

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