Polylinear Shift Registers and Standard Bases

D. A. Mikhailov

A chapter in Formal Power Series and Algebraic Combinatorics, 2000, pp 518-527 from Springer

Abstract: Abstract The work is devoted to studying of the concept of a k-linear shift register (k-LSR) over a quasi-Frobenius module R M, where R is an Artinian commutative ring, introduced in [3]. Such register is determined by a monic ideal I ⊲ R k and Ferrer diagram F ⊂ N 0 k . A criterion for a pair 〈I, F〉 to be a k-LSR over quasi-Frobenius module is proved. One wide class of ideals I determining a k-LSR on a fixed Ferrer diagram is described. In the case when R = P is a field a close connection between polylinear shift registers and standard bases (Gröbner bases) of monic ideals in polynomial rings is established.

Date: 2000
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-662-04166-6_49

Ordering information: This item can be ordered from
http://www.springer.com/9783662041666

DOI: 10.1007/978-3-662-04166-6_49

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().