Results 11 to 20 of about 57 (38)

Biordered sets of semigroups [PDF]

Bulletin of the Australian Mathematical Society, 1984
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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PERIODIC ELEMENTS OF THE FREE IDEMPOTENT GENERATED SEMIGROUP ON A BIORDERED SET [PDF]

International Journal of Algebra and Computation, 2010
We show that every periodic element of the free idempotent generated semigroup on an arbitrary biordered set belongs to a subgroup of the semigroup.
David Easdown, Mark V. Sapir, Mikhail V. Volkov 0001   +2 more
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Free idempotent generated semigroups over bands and biordered sets with trivial products [PDF]

International Journal of Algebra and Computation, 2016
For any biordered set of idempotents [Formula: see text] there is an initial object [Formula: see text], the free idempotent generated semigroup over[Formula: see text], in the category of semigroups generated by a set of idempotents biorder-isomorphic to [Formula: see text].
Yang, Dandan, Gould, Victoria Ann Rosalind   +1 more
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Biordered Sets of Regular Rings

, 2020
The set of idempotents of a regular semigroup is given an abstract characterization as a regular biordered set in [2], and in [4] it is shown how a biordered set can be associated with a complemented modular lattice. Von Neumann has shown earlier that any complemented modular lattice of order greater than 3 can be realized as the lattice of principal ...
Alexander, James, Krishnan, E.
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Biordered sets of lattices and homogeneous basis

, 2020
10 pages zero ...
Romeo, P. G., R, Akhila.
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Independence of axioms for biordered sets

Semigroup Forum, 1984
Biordered sets were introduced by \textit{K. S. S. Nambooripad} as an abstraction of the partial semigroup of idempotents of a semigroup [Mem. Am. Math. Soc. 224 (1979; Zbl 0457.20051]. Let X, Y be sets, \(\rho \subseteq X\times Y\) and put \(\rho(y)=\{x\in X:\quad x\rho y\}.\) A partial algebra is defined to be a set E equipped with a partial binary ...
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ON MAXIMAL SUBGROUPS OF IDEMPOTENT-GENERATED SEMIGROUPS ASSOCIATED WITH BIORDERED SETS [PDF]

Bulletin of the Australian Mathematical Society, 2022
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Tailored Carbon Nanocomposites for Efficient CO₂ Capture. [PDF]

Molecules
Kichukova D, Lazarova T, Atanasova G, Kovacheva D, Spassova I.   +4 more
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Biordered sets and fundamental semigroups

Semigroup Forum, 2010
For any abstract biordered set (boset) \(E\) is constructed a semigroup \(T_E\) such that \(T_E\) and its symmetric subsemigroups are fundamental and generated by regular elements; any full subsemigroup of \(T_E\) for any boset \(E\) generated by regular elements is also fundamental.
Easdown, David, Jordan, Patrick, Roberts, Brad   +2 more
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A Biordered Set Representation of Regular Semigroups

Acta Mathematica Sinica, English Series, 2005
Following the milestone works by \textit{W. D. Munn} [Q. J. Math., Oxf. II. Ser. 21, 157-170 (1970; Zbl 0219.20047)] and \textit{T. E. Hall} [Pac. J. Math. 39, 677-686 (1971; Zbl 0232.20124)] for any regular biordered set \(E\), by using biorder isomorphisms between the \(\omega\)-ideals on \(E\), the authors construct a fundamental regular semigroup \(
Yu, Bingjun, Xu, Mang
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