Temat: subalgebras - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Free probability on Hecke algebras and certain group C*-algebras induced by Hecke algebras
Autorzy:: Cho, I.
Powiązania:: https://bibliotekanauki.pl/articles/255166.pdf
Data publikacji:: 2016
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: free probability
free moments
free cumulants
Hecke algebras
normal Hecke subalgebras
representations
groups
group C*-algebras
Opis:: In this paper, by establishing free-probabilistic models on the Hecke algebras [formula] induced by p-adic number fields Qp, we construct free probability spaces for all primes p. Hilbert-space representations are induced by such free-probabilistic structures. We study C*-algebras induced by certain partial isometries realized under the representations.
Źródło:: Opuscula Mathematica; 2016, 36, 2; 153-187
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: On the structure and zero divisors of the Cayley-Dickson sedenion algebra
Autorzy:: Cawagas, Raoul
Powiązania:: https://bibliotekanauki.pl/articles/729117.pdf
Data publikacji:: 2004
Wydawca:: Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:: sedenions
subalgebras
zero divisors
octonions
quasi-octonions
quaternions
Cayley-Dickson process
Fenyves identities
Opis:: The algebras ℂ (complex numbers), ℍ (quaternions), and (octonions) are real division algebras obtained from the real numbers ℝ by a doubling procedure called the Cayley-Dickson Process. By doubling ℝ (dim 1), we obtain ℂ (dim 2), then ℂ produces ℍ (dim 4), and ℍ yields (dim 8). The next doubling process applied to then yields an algebra (dim 16) called the sedenions. This study deals with the subalgebra structure of the sedenion algebra and its zero divisors. In particular, it shows that has subalgebras isomorphic to ℝ, ℂ, ℍ, , and a newly identified algebra ̃ called the quasi-octonions that contains the zero-divisors of .
Źródło:: Discussiones Mathematicae - General Algebra and Applications; 2004, 24, 2; 251-265
1509-9415
Pojawia się w:: Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: New type of fuzzy ideals in BCK/BCI algebras
Autorzy:: Subha, V. S.
Dhanalakshmi, P.
Powiązania:: https://bibliotekanauki.pl/articles/1193304.pdf
Data publikacji:: 2021
Wydawca:: Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
Tematy:: BCK-algebras
BCK-ideals
Homomorphism
Pythagorean fuzzy ideal
Pythagorean fuzzy sets
Pythagorean fuzzy subalgebras
Rough Fuzzy sets
Rough Pythagorean fuzzy ideals
Rough Pythagorean fuzzy sets
Rough sets
Sub algebras
Opis:: In this paper, we expose pythagorean fuzzy sets in BCK-algebras. Also we define pythagorean fuzzy subalgebra, pythagorean fuzzy ideal in BCK-algebra and investigate some properties of these ideals. Some interesting examples are given. Homomorphism of pythagorean fuzzy set in BCK-algebras are introduce. Moreover we combine the pythagorean fuzzy set and rough sets in BCK-algebras. The concept of rough pythagorean fuzzy ideals in BCK-algebras are introduce.
Źródło:: World Scientific News; 2021, 153, 2; 80-92
2392-2192
Pojawia się w:: World Scientific News
Dostawca treści:: Biblioteka Nauki

Artykuł

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