TY - JOUR
T1 - Algebraic geometry over algebraic structures X
T2 - Ordinal dimension
AU - Daniyarova, Evelina Yur Evna
AU - Myasnikov, Alexei Georgievich
AU - Remeslennikov, Vladimir Nikanorovich
N1 - Publisher Copyright:
© 2018 World Scientific Publishing Company.
PY - 2018/12/1
Y1 - 2018/12/1
N2 - This work is devoted to interpretation of concepts of Zariski dimension of an algebraic variety over a field and of Krull dimension of a coordinate ring in algebraic geometry over algebraic structures of an arbitrary signature. Proposed dimensions are ordinal numbers (ordinals).
AB - This work is devoted to interpretation of concepts of Zariski dimension of an algebraic variety over a field and of Krull dimension of a coordinate ring in algebraic geometry over algebraic structures of an arbitrary signature. Proposed dimensions are ordinal numbers (ordinals).
KW - Krull dimension
KW - Partially ordered set
KW - Zariski dimension
KW - algebraic structure
KW - coordinate algebra
KW - irreducible algebraic set
KW - ordinal number
KW - projective dimension
KW - radical dimension
KW - universal algebraic geometry
UR - http://www.scopus.com/inward/record.url?scp=85052614620&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85052614620&partnerID=8YFLogxK
U2 - 10.1142/S0218196718400039
DO - 10.1142/S0218196718400039
M3 - Article
AN - SCOPUS:85052614620
SN - 0218-1967
VL - 28
SP - 1425
EP - 1448
JO - International Journal of Algebra and Computation
JF - International Journal of Algebra and Computation
IS - 8
ER -