… As the main application, for May’s multiplicative infinite loop space machine from bipermutative
categories to either E∞-ring spaces or E∞-ring spectra, multiplicatively strong symmetric …

… With the new variants of the Segal machine, any multiplicative algebraic structure, such as
rings, modules, and algebras, that we see on the level of Image 1 –G-spaces is automatically …

… to undergraduate algebra, tend to be more detailed than some widely treated theories; the
… details about ideals of polynomial rings than for Galois theory; the theory of finite groups (at …

… basis construction of the standard module. Since it gives nice diagrammatical representations
of the aTL algebra, we call this approach the geometric algebra approach; the other …

… We describe the ring structure in terms of vertex operators and … ring with a structure of P/Q-graded
vertex operator algebra. We use the vertex algebra approach to derive semi-infinite …

We obtain geometric models for the infinite loop spaces of the motivic spectra $\mathrm{MGL}$,
$\mathrm{MSL}$, and $\mathbf{1}$ over a field. They are motivically equivalent to $\…

… Vir ⊗ B modules with an infinite-dimensional weight space is still open. … modules for Vir ⊗
B, for a commutative associative unital algebra B over C with infinite-dimensional weight spaces…

… Modules are to rings what vector spaces are to fields and this introductory chapter studies
them from the point of view of linear algebra. … definitions for vector spaces: modules and their …

… In parallel to Remark 4.4.1, we observe that, if we made this definition for a module M over
a general ring, then ϕP(M) would form a subgroup of the underlying abelian group structure of …

… BG/ QDQ, so a splitting may be given by the augmentation of the real representation ring
of G), and a spectral sequence argument in equivariant KO–theory shows that the analogous …