Some Periodicity Properties of Modules over the Ring of Polynomials with Coefficients in a Residue Class Rring
Dorothy Bollman · SIAM Journal on Applied Mathematics · 1966
Previous article Next article Some Periodicity Properties of Modules over the Ring of Polynomials with Coefficients in a Residue Class RringD. BollmanD. Bollmanhttps://doi.org/10.1137/0114022PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] D. Bollman, Masters Thesis, On the periodicity of states in a linear sequential machine having a composite modulus, Doctoral dissertation, University of Illinois, Urbana, 1963 Google Scholar[2] Dorothy A. Bollman, Some periodicity properties of transformations on vector spaces over residue class rings, J. Soc. Indust. Appl. Math., 13 (1965), 902–912 10.1137/0113058 MR0183724 0178.35402 LinkISIGoogle Scholar[3] B. Elspas, The theory of autonomous linear sequential machines, IRE Trans. Circuit Theory, CT-6 (1959), 45–60 CrossrefGoogle Scholar[4] Seymour Ginsburg, An introduction to mathematical machine theory, Addison-Wesley Publishing Co., Inc., Reading, Mass.-Palo Alto, Calif.-London, 1962ix+147 MR0145693 0102.33804 Google Scholar[5] S. W. Golomb, Sequences with randomness properties, Final Report on Contract, SC-54-33611, Glenn L. Martin Company, Baltimore, 1955 Google Scholar[6] Th. V. Griffiths, The decomposition of finite state machines, AFCRL-63-543, Air Force Cambridge Research Laboratory, 1963 Google Scholar[7] Helmut Hasse, Zahlentheorie, Akademie-Verlag, Berlin, 1949xii+468 MR0034400 0035.02002 Google Scholar[8] Irving Kaplansky, Infinite abelian groups, University of Michigan Press, Ann Arbor, 1954v+91 MR0065561 0057.01901 Google Scholar[9] M. O. Rabin and , D. Scott, Finite automata and their decision problems, IBM J. Res. Develop., 3 (1959), 114–125 MR0103795 0158.25404 CrossrefISIGoogle Scholar[10] N. Zierler, Several binary sequence generators, Tech. Report, 95, Lincoln Laboratory, Massachusetts Institute of Technology, 1955 Google Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Linear recurring sequences over modulesActa Applicandae Mathematicae, Vol. 42, No. 2 Cross Ref Linear recurring sequences over rings and modulesJournal of Mathematical Sciences, Vol. 76, No. 6 Cross Ref State Diagrams of T-Cyclic Autonomous Nonsingular LSC’s over $J_m $ with Multiply Irreducible Elementary DivisorsH. L. Althaus12 July 2006 | SIAM Journal on Applied Mathematics, Vol. 23, No. 2AbstractPDF (979 KB) Volume 14, Issue 2| 1966SIAM Journal on Applied Mathematics History Submitted:23 December 1964Published online:13 July 2006 InformationCopyright © 1966 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0114022Article page range:pp. 237-241ISSN (print):0036-1399ISSN (online):1095-712XPublisher:Society for Industrial and Applied Mathematics