The collection of hereditary classes of modules over an arbitrary ring R is a pseudocomplemented complete big lattice. The elements of its skeleton are precisely the natural classes of R-modules. In this paper we extend some results about hereditary classes in R-Mod to the category \(\mathcal {L}_\mathcal {M}\) of linear modular lattices, which has as objects all modular complete lattices and as morphisms all linear morphisms. We also define natural classes in the full subcategory \(\mathcal {L}_{{\mathcal {M}}_{c}}\) of upper semicontinuous modular complete lattices and show that the collection of these classes is the skeleton of the big lattice of hereditary classes in \(\mathcal {L}_{{\mathcal {M}}_{c}}\) and is a boolean big lattice.

任意环R 上的模块的遗传类集合是一个伪补全大格。其骨架的元素正是R模块的自然类。在本文中，我们将R - Mod 中关于遗传类的一些结果扩展到线性模格的范畴\(\mathcal {L}_\mathcal {M}\)，它具有作为对象的所有模完全格和作为所有线性的态射态射。我们还在上半连续模完全格的完整子范畴\(\mathcal {L}_{{\mathcal {M}}_{c}}\)中定义了自然类，并表明这些类的集合是世袭阶级的大格子\(\mathcal {L}_{{\mathcal {M}}_{c}}\)是一个布尔大格子。