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Self-Injective algebras of stable Calabi-Yau dimension three. / Ivanov, S.O.

In: Journal of Mathematical Sciences, Vol. 188, No. 5, 2013, p. 601-620.

Research output: Contribution to journal › Article › peer-review

Harvard

Ivanov, SO 2013, 'Self-Injective algebras of stable Calabi-Yau dimension three.', Journal of Mathematical Sciences, vol. 188, no. 5, pp. 601-620. https://doi.org/10.1007/s10958-013-1152-9

APA

Ivanov, S. O. (2013). Self-Injective algebras of stable Calabi-Yau dimension three. Journal of Mathematical Sciences, 188(5), 601-620. https://doi.org/10.1007/s10958-013-1152-9

Vancouver

Ivanov SO. Self-Injective algebras of stable Calabi-Yau dimension three. Journal of Mathematical Sciences. 2013;188(5):601-620. https://doi.org/10.1007/s10958-013-1152-9

Author

Ivanov, S.O. / Self-Injective algebras of stable Calabi-Yau dimension three. In: Journal of Mathematical Sciences. 2013 ; Vol. 188, No. 5. pp. 601-620.

BibTeX

@article{a265c0312b0e4be2aaa7d421d24d9760,
title = "Self-Injective algebras of stable Calabi-Yau dimension three.",
abstract = "In the present paper, a class of algebras that allows the so-called DTI-family of relations is introduced. With few exceptions, the stable Calabi-Yau dimension of these algebras is equal to 3. We prove that all algebras of quaternion type are contained in this class, and we give some other examples of such algebras. Furthermore, minimal projective bimodule resolutions for algebras from this class are described. Bibliography: 12 titles.",
keywords = "self-injective algebra, stable module category, Calabi-Yau dimension, bimodule resolution",
author = "S.O. Ivanov",
year = "2013",
doi = "10.1007/s10958-013-1152-9",
language = "English",
volume = "188",
pages = "601--620",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "5",

}

RIS

TY - JOUR

T1 - Self-Injective algebras of stable Calabi-Yau dimension three.

AU - Ivanov, S.O.

PY - 2013

Y1 - 2013

N2 - In the present paper, a class of algebras that allows the so-called DTI-family of relations is introduced. With few exceptions, the stable Calabi-Yau dimension of these algebras is equal to 3. We prove that all algebras of quaternion type are contained in this class, and we give some other examples of such algebras. Furthermore, minimal projective bimodule resolutions for algebras from this class are described. Bibliography: 12 titles.

AB - In the present paper, a class of algebras that allows the so-called DTI-family of relations is introduced. With few exceptions, the stable Calabi-Yau dimension of these algebras is equal to 3. We prove that all algebras of quaternion type are contained in this class, and we give some other examples of such algebras. Furthermore, minimal projective bimodule resolutions for algebras from this class are described. Bibliography: 12 titles.

KW - self-injective algebra

KW - stable module category

KW - Calabi-Yau dimension

KW - bimodule resolution

U2 - 10.1007/s10958-013-1152-9

DO - 10.1007/s10958-013-1152-9

M3 - Article

VL - 188

SP - 601

EP - 620

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 5

ER -

ID: 7389837