| 书目名称 | Semigroups and Their Subsemigroup Lattices | | 编辑 | Lev N. Shevrin,Alexander J. Ovsyannikov | | 视频video | | | 丛书名称 | Mathematics and Its Applications | | 图书封面 |  | | 描述 | 0.1. General remarks. For any algebraic system A, the set SubA of all subsystems of A partially ordered by inclusion forms a lattice. This is the subsystem lattice of A. (In certain cases, such as that of semigroups, in order to have the right always to say that SubA is a lattice, we have to treat the empty set as a subsystem.) The study of various inter-relationships between systems and their subsystem lattices is a rather large field of investigation developed over many years. This trend was formed first in group theory; basic relevant information up to the early seventies is contained in the book [Suz] and the surveys [K Pek St], [Sad 2], [Ar Sad], there is also a quite recent book [Schm 2]. As another inspiring source, one should point out a branch of mathematics to which the book [Baer] was devoted. One of the key objects of examination in this branch is the subspace lattice of a vector space over a skew field. A more general approach deals with modules and their submodule lattices. Examining subsystem lattices for the case of modules as well as for rings and algebras (both associative and non-associative, in particular, Lie algebras) began more than thirty years ago; there ar | | 出版日期 | Book 1996 | | 关键词 | Algebraic structure; Group theory; Lattice; commutative property; mathematical logic | | 版次 | 1 | | doi | https://doi.org/10.1007/978-94-015-8751-8 | | isbn_softcover | 978-90-481-4749-6 | | isbn_ebook | 978-94-015-8751-8 | | copyright | Springer Science+Business Media Dordrecht 1996 |
The information of publication is updating
|
|
发表于 2025-3-21 19:20:23
