Subring Depth, Frobenius Extensions, and Towers
The minimum depth d(B,A) of a subring B⊆A introduced in the work of Boltje, Danz and Külshammer (2011) is studied and compared with the tower depth of a Frobenius extension. We show that d(B,A) < ∞ if A is a finite-dimensional algebra and Be has finite representation type. Some conditions in term...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2012-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2012/254791 |