Commutativity and ideals in category crossed products

Research output: Contribution to journal › Conference article › Research › peer-review

Standard

Commutativity and ideals in category crossed products. / Öinert, Per Johan; Lundström, Patrik.

In: Proceedings of the Estonian Academy of Sciences, Vol. 59, No. 4, 20.12.2010, p. 338-346.

Research output: Contribution to journal › Conference article › Research › peer-review

Harvard

Öinert, PJ & Lundström, P 2010, 'Commutativity and ideals in category crossed products', Proceedings of the Estonian Academy of Sciences, vol. 59, no. 4, pp. 338-346. https://doi.org/10.3176/proc.2010.4.13

APA

Öinert, P. J., & Lundström, P. (2010). Commutativity and ideals in category crossed products. Proceedings of the Estonian Academy of Sciences, 59(4), 338-346. https://doi.org/10.3176/proc.2010.4.13

Vancouver

Öinert PJ, Lundström P. Commutativity and ideals in category crossed products. Proceedings of the Estonian Academy of Sciences. 2010 Dec 20;59(4):338-346. https://doi.org/10.3176/proc.2010.4.13

Author

Öinert, Per Johan ; Lundström, Patrik. / Commutativity and ideals in category crossed products. In: Proceedings of the Estonian Academy of Sciences. 2010 ; Vol. 59, No. 4. pp. 338-346.

Bibtex

@inproceedings{ee7045319a1d450bb2b2858ec221078b,
title = "Commutativity and ideals in category crossed products",
abstract = "In order to simultaneously generalize matrix rings and group graded crossed products, we introduce category crossed products. For such algebras we describe the centre and the commutant of the coefficient ring. We also investigate the connection between on the one hand maximal commutativity of the coefficient ring and on the other hand nonemptiness of intersections of the coefficient ring by nonzero two-sided ideals.",
keywords = "Faculty of Science, category graded rings, crossed products, ideals",
author = "{\"O}inert, {Per Johan} and Patrik Lundstr{\"o}m",
year = "2010",
month = dec,
day = "20",
doi = "10.3176/proc.2010.4.13",
language = "English",
volume = "59",
pages = "338--346",
journal = "Proceedings of the Estonian Academy of Sciences: Engineering",
issn = "1736-6046",
publisher = "Teaduste Akadeemia Kirjastus",
number = "4",

}

RIS

TY - GEN

T1 - Commutativity and ideals in category crossed products

AU - Öinert, Per Johan

AU - Lundström, Patrik

PY - 2010/12/20

Y1 - 2010/12/20

N2 - In order to simultaneously generalize matrix rings and group graded crossed products, we introduce category crossed products. For such algebras we describe the centre and the commutant of the coefficient ring. We also investigate the connection between on the one hand maximal commutativity of the coefficient ring and on the other hand nonemptiness of intersections of the coefficient ring by nonzero two-sided ideals.

AB - In order to simultaneously generalize matrix rings and group graded crossed products, we introduce category crossed products. For such algebras we describe the centre and the commutant of the coefficient ring. We also investigate the connection between on the one hand maximal commutativity of the coefficient ring and on the other hand nonemptiness of intersections of the coefficient ring by nonzero two-sided ideals.

KW - Faculty of Science

KW - category graded rings

KW - crossed products

KW - ideals

U2 - 10.3176/proc.2010.4.13

DO - 10.3176/proc.2010.4.13

M3 - Conference article

VL - 59

SP - 338

EP - 346

JO - Proceedings of the Estonian Academy of Sciences: Engineering

JF - Proceedings of the Estonian Academy of Sciences: Engineering

SN - 1736-6046

IS - 4

ER -

ID: 32440682