Ideals in Deligne’s category $\underline{\mathrm{Rep}}(GL_{\delta})$

Ideals in the Temperley-lieb Category

This note will appear as an appendix to the paper of Michael Freedman, A magnetic model with a possible Chern-Simons phase [F]; it may, however, be read independently of [F]. The purpose of this paper is to prove the following result. Theorem 0.1. For a generic value of the parameter, the Temperley-Lieb category has no non-zero, proper tensor ideal. When the parameter d is equal to 2 cos(π/n) f...

V.Ostrik TENSOR IDEALS IN THE CATEGORY OF TILTING MODULES.

Tensor Ideals in the Category of Tilting Modules

Let g be a complex finite dimensional simple Lie algebra with the root datum (Y,X, . . . ), see [Lu2]. Let Wf denote the Weyl group, R denote the root system, R+ denote the set of positive roots. Let X+ denote the set of dominant integral weights. Let h denote the Coxeter number of g. Let us fix l ∈ N, l > h. We assume that l is odd (and not divisible by 3, if g is of type G2). Let W denote the...

Running-head: Theories, ideals, and property induction Theories, Ideals, and Category-Based Property Induction

One important property of human object categories is that they are the categories to which newly observed properties are likely to be generalized. Another is that such categories often exhibit theoretical coherence. This study examined the relationship between inductive generalization and theoretical coherence by manipulating the causal knowledge associated with novel categories and assessing t...

On ideals of ideals in $C(X)$

In this article‎, ‎we have characterized ideals in $C(X)$ in which‎ ‎every ideal is also an ideal (a $z$-ideal) of $C(X)$‎. ‎Motivated by‎ ‎this characterization‎, ‎we observe that $C_infty(X)$ is a regular‎ ‎ring if and only if every open locally compact $sigma$-compact‎ ‎subset of $X$ is finite‎. ‎Concerning prime ideals‎, ‎it is shown that‎ ‎the sum of every two prime (semiprime) ideals of e...