### Groups of simple algebras

Moss E. Sweedler (1974)

Publications Mathématiques de l'IHÉS

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Moss E. Sweedler (1974)

Publications Mathématiques de l'IHÉS

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Antonio G. Rodicio (1989)

Publicacions Matemàtiques

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We give a short proof of the Jacobian criterion of formal smoothness using the Lichtenbaum-Schlessinger cotangent complex.

Amnon Yekutieli (1995)

Compositio Mathematica

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Crivei, Iuliu (2005)

International Journal of Mathematics and Mathematical Sciences

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Sangwon Park (2001)

Czechoslovak Mathematical Journal

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In this paper we compute injective, projective and flat dimensions of inverse polynomial modules as $R\left[x\right]$-modules. We also generalize Hom and Ext functors of inverse polynomial modules to any submonoid but we show Tor functor of inverse polynomial modules can be generalized only for a symmetric submonoid.

Simion Breaz (2003)

Czechoslovak Mathematical Journal

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We present general properties for almost-flat modules and we prove that a self-small right module is almost flat as a left module over its endomorphism ring if and only if the class of $g$-static modules is closed under the kernels.