Biordered sets and complemented modular lattices
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In this paper we give a structure theorem for the biordered set of a strongly regular Baer semigroup. As a result we shall be able to construct the biordered set of the multiplicative semigroup of a regular ring in terms of the complemented modular lattice which is coordinatized by this regular ring.
- University of Nebraska System United States
- Ghent University Belgium
- DigiZeitschriften Germany
- University of Nebraska–Lincoln United States
Ideal theory for semigroups, Modular lattices, Desarguesian lattices, principal right ideals, Semigroup rings, multiplicative semigroups of rings, biordered set of a strongly regular Baer semigroup, Article, complemented modular lattice, bounded lattices, 510.mathematics, Complemented modular lattices, continuous geometries, multiplicative semigroup of a regular ring, von Neumann regular rings and generalizations (associative algebraic aspects), General structure theory for semigroups, Radical theory for semigroups
Ideal theory for semigroups, Modular lattices, Desarguesian lattices, principal right ideals, Semigroup rings, multiplicative semigroups of rings, biordered set of a strongly regular Baer semigroup, Article, complemented modular lattice, bounded lattices, 510.mathematics, Complemented modular lattices, continuous geometries, multiplicative semigroup of a regular ring, von Neumann regular rings and generalizations (associative algebraic aspects), General structure theory for semigroups, Radical theory for semigroups
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