Radicals of some semigroup algebras

Mathematics and Statistics

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Radicals of some semigroup algebras. / Dales, H.G.; Strauss, Dona E.; Zelenyuk, Yevhen et al.
In: Semigroup Forum, Vol. 87, No. 1, 08.2013, p. 80-96.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Dales, HG, Strauss, DE, Zelenyuk, Y & Zelenyuk, Y 2013, 'Radicals of some semigroup algebras', Semigroup Forum, vol. 87, no. 1, pp. 80-96. https://doi.org/10.1007/s00233-012-9459-2

APA

Dales, H. G., Strauss, D. E., Zelenyuk, Y., & Zelenyuk, Y. (2013). Radicals of some semigroup algebras. Semigroup Forum, 87(1), 80-96. https://doi.org/10.1007/s00233-012-9459-2

Vancouver

Dales HG, Strauss DE, Zelenyuk Y, Zelenyuk Y. Radicals of some semigroup algebras. Semigroup Forum. 2013 Aug;87(1):80-96. doi: 10.1007/s00233-012-9459-2

Author

Dales, H.G. ; Strauss, Dona E. ; Zelenyuk, Yevhen et al. / Radicals of some semigroup algebras. In: Semigroup Forum. 2013 ; Vol. 87, No. 1. pp. 80-96.

Bibtex

@article{50653741ce174751a5d549c973338c64,

title = "Radicals of some semigroup algebras",

abstract = "In this paper we seek to determine the Jacobson radical of certain algebras based on semigroups, and in particular on the semigroups (βS,□), where S is a cancellative, countable, abelian semigroup and βS is its Stone–{\v C}ech semigroup compactification. In particular, we wish to determine the radical of ℓ 1(βℕ).",

keywords = "Semigroup, Semigroup algebra , Jacobson radical , Semisimple , Stone–{\v C}ech semigroup compactification, βS",

author = "H.G. Dales and Strauss, {Dona E.} and Yevhen Zelenyuk and Yulia Zelenyuk",

year = "2013",

month = aug,

doi = "10.1007/s00233-012-9459-2",

language = "English",

volume = "87",

pages = "80--96",

journal = "Semigroup Forum",

issn = "1432-2137",

publisher = "Springer New York",

number = "1",

}

RIS

TY - JOUR

T1 - Radicals of some semigroup algebras

AU - Dales, H.G.

AU - Strauss, Dona E.

AU - Zelenyuk, Yevhen

AU - Zelenyuk, Yulia

PY - 2013/8

Y1 - 2013/8

N2 - In this paper we seek to determine the Jacobson radical of certain algebras based on semigroups, and in particular on the semigroups (βS,□), where S is a cancellative, countable, abelian semigroup and βS is its Stone–Čech semigroup compactification. In particular, we wish to determine the radical of ℓ 1(βℕ).

AB - In this paper we seek to determine the Jacobson radical of certain algebras based on semigroups, and in particular on the semigroups (βS,□), where S is a cancellative, countable, abelian semigroup and βS is its Stone–Čech semigroup compactification. In particular, we wish to determine the radical of ℓ 1(βℕ).

KW - Semigroup

KW - Semigroup algebra

KW - Jacobson radical

KW - Semisimple

KW - Stone–Čech semigroup compactification

KW - βS

U2 - 10.1007/s00233-012-9459-2

DO - 10.1007/s00233-012-9459-2

M3 - Journal article

VL - 87

SP - 80

EP - 96

JO - Semigroup Forum

JF - Semigroup Forum

SN - 1432-2137

IS - 1

ER -

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