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arXiv · 1706.00135

Quantales and their modules: projective objects, ideals, and congruences

Ciro Russo
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Abstract

In this paper we characterize the projective modules over an arbitrary quantale, and then we apply such a characterization in order to define the K_0 group of a quantale. Then we study congruences of quantales and quantale modules by means of their ideals and of saturated elements w.r.t. a binary relation.

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Ciro Russo. 2017-06-01. Quantales and their modules: projective objects, ideals, and congruences. https://arxiv.org/abs/1706.00135

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