학술저널
SMASH PRODUCT ALGEBRAS AND INVARIANT ALGEBRAS
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 8, No. 1
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1995.06173 - 181 (9 pages)
- 0
Let H and G be finite dimensional semisimple Hopf algebras and let A and B be left H and G-module algebras respectively. We use smash product algebras to show that 1) if A is right Artinian then AH is right Artinian, 2) Soc VA ⊂ Soc VAH and rad VA ⊃ radVAH, 3) K dim BVA = K dim BGVAH.
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