Arguesian
lattices: in Encycopedia of Math.
Arguesian
lattices: in Encycopedia of Math.
On modular latices with 4 generators ,
with A.Day and R.Wille (AU 1972)
Modulare Verbaende von Laenge hoestens 6 , Houston
Confercence 1973
On the equational theory of submodule lattices , Houston
Confercence 1973
S-verklebte Summen von Verbaenden , Math.Z.
1973
Weak (projective) radius and finite equational bases for classes of
lattices
, AU
1973
The class of sublattices of normal subgroup lattices is not
elementary,
with W.Poguntke (AU 1974)
,
Erratum: On quadruples of normal subgroups /a> (Ulm 1975)
On modular lattices generated by 1+2+2, with M.Kindermann and
R.Wille, (AU 1975)
,
Concerning M.M-Gluhov`s paper on the word problem for free modular
lattices
(AU 1975)
,
Zum Wortproblem fuer freie Untermodulverbaende
, mit A.Huhn
(Arch. Math, 1975)
Zum Begriff der Charakeristik modularer Verbaende
mit A.Huhn ,
(Math.Z. 1975)
On modular lattices generated by two complemented pairs (Houston
J. 1976)
,
Affine algebra in congruence modular varieties ,
(Acta Sci. Math 1978)
A concrete ideal multiplication for algebraic systems and its
relation to congruence distributivity. ,
with J.Hagemann
(Arch. Math 1979)
A condition sufficient for distributivity of lattices
linear of subspaces
,
(Arch. Math. 1979)
Algebras in modular varieties: Baer refinements,
cancellation and isotopy
, with H.P.Gumm
(Houston J. . Math. 1979)
Applications 0f Model Theory to Representations of
finite-dimesnional algebras with Ch.U. Jensem and H.Lenzing
(Math.Z. 1981)
Projective geometry on partially ordered sets
, with U.Faigle
(TAMS 1981 )
On some identities valid
in modular congruence varieties,
with R.Freese and A.Huhn ,
(AU 1981)
A parameter for subdirectly irreducible modular lattices with four
generators
(Acta Sci. Math 1981)
,
On the arithmetic of projective coordinate systems ,
(TAMS 1984)
On the word problem for the modular lattice with four free
generators
(Annalen Math 1984)
,
On elementary arguesian lattices with 4 generators (AU 1984)
Frames of permuting equivalences (Acta Sci.Math 1987)
The Classification od subspaces in Hermitean vector spaces, with
Herbert Gross and Remo Moresi (J. Algebra 105, 1987)
Gluings of modular lattices, with Alan Day (Order 5 1988)
Acyclic modular lattices and their representations
with M.Wild, (J-Algebra 136 1991)
Galois
lattices (27) Note di Mat. e Fis., CERFIM, (1992)
A geometric description of modular lattices, 2. version (26),
with Doug Pickering and Michael Roddy, AU 31 (1994)
Small
Arguesian lattices (24) with Alan Day, Bjarni Jonsson,
J.B.Nation and Doug Pickering, AU 31 (1994)
Alan
Day's work on modular and Arguesian lattices (23), AU 34 (1995)
On the undecidability of implications between embedded
multivalued
database dependencies (22), Inform. and Comp. 122 (1995)
Corrigendum: On the undecidability of implications between embedded
multivalued
database dependencies (22), Inform. and Comp. 204 (2006)
Classification of subspaces (19),
with Remo Moresi, Reto Scuppli, and Marcel Wild,
In: Orthogonal Geometry in infinite Dimensional Vector Spaces,
H.A.Keller, U.-M.Kuenzi, and M. Wild eds., Bayreuther Math. Schriften
55 (1998)
On automprphism groups of arguesian lattices ,
Acta Math Hungar. 79 (1998)
Proatomic modular ortholattices: Representation and equational theory (18),
with M.S.Roddy, Note di Mat. e Fis. CERFIM (1999)
A note on the equational theory of modular ortholattices (16),
with M.S. Roddy, AU 44 (2000)
On the size of Boolean combinations of subgroups of finite abelian
groups (14),
ORDER 17 (2001)
Erratum: On the contraction of vectorial lattice representations (28),
ORDER 22 (2005)
On n-distributive modular ortholattices (11). with Florence Micol and M.S.Roddy,
AU 53 (2005)
A characterization of subgroup lattices of
finite abelian groups, with G.Takach (12), Beitraege Algebra
Geometrie 46 (2005)
Corrigendum:
Gluings of modular lattices (30) ORDER 23 (2006)
Errors in publication on primary lattices (2005)
Corrigendum: On the undecidability of implications between embedded
multivalued
database dependencies (22), Inform. and Comp. 204 (2006)
On
locally finite modular lattice varieties of finite height (9),
with Anvar Nurakunov, ORDER 24 (2007)
Existence varieties of regular rings and complemented modular
lattices (10),
with Marina Semenova, J. Algebra 314 (2007)
A second note on the equational theory of modular ortholattices (16),
with M.S. Roddy, AU 57 (2007)
Complemented modular lattices with involution and orthogonal geometry
(5),
AU 61 (2009)
On perpfert pairs for quadruples in complemented
modular lattices and concepts of perfect elements (35) (6), AU 61 (2009)
On the equational theory of projection lattices of finite von Neumann
algebra factors (7), Conference in memory of Herbert Gross,
Locarno 2009
On the equational theory of projection lattices of finite von Neumann
algebra factors (3), JSL 75 (2010)
Talk on Jardafest, Praha 2010
Generators of existence varieties of regular rings and complemented modular
lattices (2),
with Marina Semenova, Cent. Eur.J. Math. 8 (2010)
On
the number of join irreducivles and acyclicity in finite
modular lattices (1), AU 64 (2010)
Computational Complexity of Geometirc Quantum Logic, with Martin
Ziegler, Oxford 2010
Generators for complemented modular lattices and the von
Neumann-Jonsson
coordinatization theorems (4) AU 63 (2010)
Computational Complexity of Quantum Satisfiablity, with Martin
Ziegler,
LICS 2011
Three ultrafilters in a modular logic with M.Roddy
(I.J. Theoretical Physics 50, 2011)
A review of some of Bjarni Jonsson's work on representation of
Arguesian lattices (AU 2012)
On the coordinatization of primary arguesian lattices of low
geometric dimension (12), (2012)
On geometric representations of modular ortholattices,
with M.S.Roddy, (2012)
Expressiveness and Computational Complexity of Geometric Quantum Logic, with Martin
Ziegler, ArXive 2012
Satisfiability of cross product terms is complete for real
nondeterministic polytime Blum-Shub-Smale machines, with
Johanna Sokoli and Martin
Ziegler, MCU 2013
On varieties of modular ortholattices which are
generated by their finite-dimensional members
with M.S.Roddy (2013)
On the coordinatization of primary arguesian lattices of low
geometric dimension (Beitr. Algebra Geometrie 55 2014)
Rings of quotients of finite AW*-algebras: Representation and
algebraic
approximation, with Marina Semenova, (Algebra i Logika 2014)
Rings of quotients of finite AW*-algebras: Representation and
algebraic
approximation, with Marina Semenova, (Algebra i Logika 2014)
Linear representations of regular rings and complemented modular
lattices with involution , with Marina Semenova (Acta
Sci. Math 2015)
On the satisfiability problem for classes of structures
related to finite dimensional vector spaces, with Y. Tsukamoto, M. Ziegler IJAC 26 (2016)
On the consistency problem for modular lattices and related
structures, with Y. Tsukamoto and M. Ziegler, (2016)
Computational Complexity of Quantum Satisfiability, with Martin
Ziegler (JACM 2016)
Homogeneous modular lattices are distributive
, with Marina Semenova (Order
2017)
Definable relations in finite dimensional subspace lattices with
involution, with M.Ziegler
,
AU 79 (2018)
Definable relations in finite dimensional subspace lattices with
involution II, with M.Ziegler
,
AU 28 (2019)
Direct finiteness of representable regular rings with involution,
corrected (AU 2019
Unit-regulartity and representability for semiartinian *-regular
rings. corrected (Arch Math, Brno 2020),
Varieties of *-regular rings. corrected , Math, Slovaca 2ß2ß
Representations of *-regular rings and their ortholattices of
projections. with Niklas Niemann (Acta Sci Math 86 2020)
(Co)isotropic triples and poset representations. with J. Lorand and
A. Weinstein (Rend. Sem. Math Padua 2021)
Om the complexity of equational decision problems for finite height
complemented and orthocomplementesd modular lattices (AU 2022)
Perspectivity in complemented modular lattices and regular ings
AU 2025
On the equational theory of finite modular lattices
, ORDER 1ß26
On geometric representations of modular ortholattices, Introductory
survey (2012)
Problems
on modular lattices
On
forbidden minors of matroids representable in finite characteristic (25)
On
Frankl's conjecture (13), with R.Langsdorf
Notes on the ``Third Life of Quantum Logic''
A geometric description of modular lattices, 1. version,
with Doug Pickering and Michael Roddy
Rings of quotients of finite AW*-algebras: Faithfull representation and
equational theory, with M.S.Roddy, Marina Semenova,
and M.Ziegler
On the consistency problem for modular lattices and related
structures, with Y. Tsukamoto and M. Ziegler, (2016)
preliminary version 1
On the consistency problem for modular lattices and related
structures, with Y. Tsukamoto and M. Ziegler, (2016)
preliminary version
hkw''
hrs''
herbert (25)
Lansky'
St.K. Berberian's book on Baer *-rings,
Florence Micol: On representability of *-regular rings and modular
ortholattices, Ph.D. Thesis 2003
Niklas Niemann: A short version of the Ph.D.thesis: On representability
of $*$-regular rings in endomorphism rings of inner product spaces (2007)
Achim Blumensath's book on Model Theory, and much more
St.N. Burris's and H.P.Sankappanavar's book on Universal Algebra,
J.B. Nation's book on Lattice Theory,
1972--1979
1980--1989
1990--1999
2000--2009
2010--2019
2020--
Notes
Preliminaries
Useful links
Christian Herrmann
Last modified: Fri Apr 1 23:12:50 CEST 2022