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Pseudocomplements in sum-ordered partial semirings

Jānis Cīrulis (2007)

Discussiones Mathematicae - General Algebra and Applications

We study a particular way of introducing pseudocomplementation in ordered semigroups with zero, and characterise the class of those pseudocomplemented semigroups, termed g-semigroups here, that admit a Glivenko type theorem (the pseudocomplements form a Boolean algebra). Some further results are obtained for g-semirings - those sum-ordered partially additive semirings whose multiplicative part is a g-semigroup. In particular, we introduce the notion of a partial Stone semiring and show that several...

Pseudoringe

Stanislav Židek (1972)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica-Physica-Chemica

Pseudospectra and matrix behaviour

Thomas Ransford (2010)

Banach Center Publications

We study the extent to which the pseudospectra of a matrix determine other aspects of its behaviour, such as the growth of its powers and its unitary equivalence class.

QF-3 rings.

Claus Michael Ringel, H. Tachikawa (1975)

Journal für die reine und angewandte Mathematik

QTAG torsionfree modules

Ladislav Bican, Blas Torrecillas (1992)

Commentationes Mathematicae Universitatis Carolinae

The structure theory of abelian p -groups does not depend on the properties of the ring of integers, in general. The substantial portion of this theory is based on the fact that a finitely generated p -group is a direct sum of cyclics. Given a hereditary torsion theory on the category R -Mod of unitary left R -modules we can investigate torsionfree modules having the corresponding property for all torsionfree factor-modules (and a natural requirement concerning extensions of some homomorphisms). This...

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