منابع مشابه
Operadic Tensor Products and Smash Products
Let k be a commutative ring. E∞ k-algebras are associative and commutative k-algebras up to homotopy, as codified in the action of an E∞ operad; A∞ k-algebras are obtained by ignoring permutations. Using a particularly well-behaved E∞ algebra, we explain an associative and commutative operadic tensor product that effectively hides the operad: an A∞ algebra or E∞ algebra A is defined in terms of...
متن کاملPolynomial Identities in Smash Products
Suppose that a group G acts by automorphisms on a (restricted) Lie algebra L over a field K of positive characteristic. This gives rise to smash products U(L)#K[G] and u(L)#K[G] . We find necessary and sufficient conditions for these smash products to satisfy a nontrivial polynomial identity.
متن کاملSmash Products of Quasi-hereditary Graded Algebras
The Smash product of a finite dimensional quasi-hereditary algebra graded by a finite group with the group is proved to be a quasihereditary algebra. Some elementary relations between the good modules of the two quasi-hereditary algebras are given.
متن کاملSmash Products for Secondary Homotopy Groups
We construct a smash product operation on secondary homotopy groups yielding the structure of a lax symmetric monoidal functor. Applications on cup-one products, Toda brackets and Whitehead products are considered.
متن کاملCommuting Homotopy Limits and Smash Products
In general the processes of taking a homotopy inverse limit of a diagram of spectra and smashing spectra with a fixed space do not commute. In this paper we investigate under what additional assumptions these two processes do commute. In fact we deal with an equivariant generalization that involves spectra and smash products over the orbit category of a discrete group. Such a situation naturall...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2012
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2012.03.002