Methods of Graded Rings

By C. Nastasescu, F. van Oystaeyen. 2004

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Representations and Cocycle Twists of Color Lie Algebras (2004, methodology): “on FCR-algebras, from which Theorem 1.1 follows. 4.1. Let Ae be a K-algebra and G a group acting on Ae as algebra automorphisms, and let c : G × G −→ K× be a cocycle. Recall that the crossed product ([NV2], p.11) Ae ∗c G is just a free Ae-module with basis G¯, where G = {g|g ∈ G} is a copy of G as a”
Leavitt path algebras: the first decade (2014, unknown): “, [80].”
Graded Specht modules (2009, unknown): “By general theory (see [21], Theorem 9.”
Bimodules in bordered Heegaard Floer homology (2010, background): “While group-valued gradings have occurred before in the literature (see Năstăsescu and Van Oystaeyen [27] and Khovanov[15]), our perspective and goals seem somewhat different.”
The Stable Monomorphism Category of a Frobenius category (2009, background): “For graded modules M, N , we write HOMA(M, N) = ⊕i∈ZHommodZ A(M, N(i)) and set EXT n A(−,−) to be the n-th right derived functors ([28] and [12]).”