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**Completions of cellular algebras.** / Green, R. M; Fan, C. K.

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

Green, RM & Fan, CK 1999, 'Completions of cellular algebras.', *Communications in Algebra*, vol. 27, no. 11, pp. 5349-5366. https://doi.org/10.1080/00927879908826759

Green, R. M., & Fan, C. K. (1999). Completions of cellular algebras. *Communications in Algebra*, *27*(11), 5349-5366. https://doi.org/10.1080/00927879908826759

Green RM, Fan CK. Completions of cellular algebras. Communications in Algebra. 1999;27(11):5349-5366. doi: 10.1080/00927879908826759

@article{333c7ec4697846ac865d244350d75981,

title = "Completions of cellular algebras.",

abstract = "We introduce procellular algebras, so called because they are inverse limits of finite dimensional cellular algebras as defined by Graham and Lehrer. A procellular algebra is defined as a certain completion of an infinite dimensional cellular algebra whose cell datum is of “proflnite type”. We show how these notions overcome some known obstructions to the theory of cellular agebras in infinite dimensions.",

author = "Green, {R. M} and Fan, {C. K.}",

year = "1999",

doi = "10.1080/00927879908826759",

language = "English",

volume = "27",

pages = "5349--5366",

journal = "Communications in Algebra",

issn = "0092-7872",

publisher = "Taylor and Francis Ltd.",

number = "11",

}

TY - JOUR

T1 - Completions of cellular algebras.

AU - Green, R. M

AU - Fan, C. K.

PY - 1999

Y1 - 1999

N2 - We introduce procellular algebras, so called because they are inverse limits of finite dimensional cellular algebras as defined by Graham and Lehrer. A procellular algebra is defined as a certain completion of an infinite dimensional cellular algebra whose cell datum is of “proflnite type”. We show how these notions overcome some known obstructions to the theory of cellular agebras in infinite dimensions.

AB - We introduce procellular algebras, so called because they are inverse limits of finite dimensional cellular algebras as defined by Graham and Lehrer. A procellular algebra is defined as a certain completion of an infinite dimensional cellular algebra whose cell datum is of “proflnite type”. We show how these notions overcome some known obstructions to the theory of cellular agebras in infinite dimensions.

U2 - 10.1080/00927879908826759

DO - 10.1080/00927879908826759

M3 - Journal article

VL - 27

SP - 5349

EP - 5366

JO - Communications in Algebra

JF - Communications in Algebra

SN - 0092-7872

IS - 11

ER -