We consider Γ‐graded commutative algebras, where Γ is an abelian group. Starting from a remarkable example of the classical algebra of quaternions and, more generally, an arbitrary Clifford algebra, we develop a general viewpoint on the subject. We then give a recent classification result and...
graded coalgebra 分次上代数 cocommutative coalgebra 上交换上代数 graded coating 级配喷涂层 coarse graded 粗级配的 graded coal 筛过煤 graded bed 序粒层,递变层,粒级层 graded crushing 分段破碎,分级破碎,分级压碎 graded distribution 梯度分布,渐变分布 graded filter 级配滤池,回水过滤器,分级...
1) commutative graded R-algebra 交换分次R代数2) differential form of degree r r次微分形式3) Commutative algebra 交换代数 1. Lifting of derivations over finite-dimensionally commutative algebras; 有限维交换代数上导子的提升 2. This paper puts forward the formula of root and the relationship ...
Tangent cohomology of a commutative algebra is known to have the structure of a graded Lie algebra; we account for this by exhibiting a differential graded Lie algebra (in fact, two of them) equivalent as cochain complex to Harrison's yi... M Schlessinger,J Stasheff - 《Journal of Pure ...
Multigraded and differential graded methods in commutative algebra (St. Mary's College) July 29, 2024 - August 09, 2024 课程地址:https://legacy.slmath.org/summer_schools/1115 Organizers Michael Brown (Auburn University), Claudia Miller (Syracuse University) ...
In I. Peeva (Ed) Commutative Algebra: Expository Papers Dedicated to David Eisenbud on the occasion of his 75th birthday, pages 317–341. Springer (2021) Green, M., Lazarsfeld, R.: The nonvanishing of certain Koszul cohomology groups. J. Differ. Geomeometry 19, 168–170 (1984) Google...
In fact, q(B)≅F(t¯)[y¯], a commutative polynomial ring in y¯ over the field F(t). (Hint: There is a Z×Z-grading on A given by degree in t and total degree in x and y. Since I is a homogeneous ideal of A with respect to this grading, there is an induced ...
Commutative Algebra, Vol. II, Van Nostrand, Princeton, N.J., (1960) Cited by (57) M-sequences, graph ideals, and ladder ideals of linear type 1999, Journal of Algebra On arithmetic Macaulayfication of Noetherian rings 2002, Transactions of the American Mathematical Society ...
The main objects of this thesis are graded Lie algebras associated with a Lie algebra or a Lie dgebroid such as the Fkolicher-Nijenhuis algebra, the Kodaira-Spencer algebra and the newly constructed Gelfand-Dorfman algebra and generalized Nijenhuis-Richardson dgebra. Main results are summarized as...
A graded algebra�is graded commutative(or simply commutative) if for any homoge-eous elements,,,∈�(we have),=(−1)|,| |,|,,.If�and,are graded algebras, then the product structure on the tensor product�⊗(is de)ned by (,⊗,)(,,⊗,,)=(−1)|,| |,, |,,,...