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