A Natural Partial Order for Semigroups
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Publication:3728049
DOI10.2307/2046222zbMath0596.06015OpenAlexW4251099211MaRDI QIDQ3728049
Publication date: 1986
Full work available at URL: https://doi.org/10.2307/2046222
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On \((E,\widetilde{\mathcal {H}}_E)\)-abundant semigroups and their subclasses ⋮ The Mitsch order on a semigroup ⋮ A natural partial order on certain semigroups of transformations with restricted range. ⋮ \(F\)-regular semigroups. ⋮ On the \(T\)-partial order and properties ⋮ Space pre-order and minus partial order for operators on Banach spaces ⋮ Congruences on strong semilattices of regular simple semigroups ⋮ Unnamed Item ⋮ (b, c)-inverse, inverse along an element, and the Schützenberger category of a semigroup ⋮ Partial orders based on inverses along elements ⋮ Equivalence classes of uninorms ⋮ A note on naturally ordered semigroups of partial transformations preserving an equivalence ⋮ Weighted pre-orders in a Banach algebra ⋮ Mitsch's order and inclusion for binary relations and partitions. ⋮ On existence varieties of locally inverse semigroups ⋮ Unnamed Item ⋮ Nori diagrams and persistent homology ⋮ Order based on associative operations ⋮ On partial orders of operators ⋮ Noncommutative Pierce duality between Steinberg rings and ample ringoid bundles ⋮ On the pecking order between those of mitsch and Clifford ⋮ Equivalence relations based on \((b, c)\)-inverses in rings ⋮ A natural partial order on partition order-decreasing transformation semigroups ⋮ A class of outer generalized inverses ⋮ An order induced by nullnorms and its properties ⋮ A groupoid approach to regular \(\ast \)-semigroups ⋮ Minus partial order in regular modules ⋮ Domain theory and mirror properties in inverse semigroups ⋮ Congruences and group congruences on a semigroup. ⋮ Semi-t-operators on bounded lattices ⋮ NATURALLY ORDERED TRANSFORMATION SEMIGROUPS PRESERVING AN EQUIVALENCE ⋮ On the lemma of lallement ⋮ On Hartwig-Nambooripad orders ⋮ Compatibility on naturally ordered transformation semigroups preserving an equivalence ⋮ A natural partial order on certain semigroups of transformations restricted by an equivalence ⋮ PARTIAL ORDERS ON PARTIAL BAER–LEVI SEMIGROUPS ⋮ Extremal definitions of generalized inverses ⋮ A note on partial orders of Hartwig, Mitsch, and Šemrl ⋮ Magnifying elements in semigroups ⋮ On sets of elements in Rickart rings induced by partial orders ⋮ Orders in rings based on the core-nilpotent decomposition ⋮ EP-quasinilpotent decomposition and its generalizations ⋮ Weighted core–EP inverse of an operator between Hilbert spaces ⋮ ω♯-Algebras ⋮ Monotone linear transformations on matrices over semirings ⋮ Sandwich semigroups in locally small categories. I: Foundations ⋮ Natural partial orders on transformation semigroups with fixed sets ⋮ Inverse semigroup spectral analysis for partially ranked data ⋮ On binary relations induced from overlap and grouping functions ⋮ Order-equivalent triangular norms ⋮ A property of transformation semigroups. ⋮ Certain Partial Orders on Semigroups ⋮ On maximal subsemigroups of partial Baer-Levi semigroups. ⋮ Partial orders in rings based on generalized inverses -- unified theory. ⋮ Natural partial order and finiteness conditions on semigroups of linear transformations with invariant subspaces ⋮ Unnamed Item ⋮ Generalized inverses of elements and their polarities in rings ⋮ On the properties of the \(F\)-partial order and the equivalence of nullnorms ⋮ Naturally ordered strong endomorphisms on graphs ⋮ Structure of principal one-sided ideals ⋮ Sufficient conditions for a T-partial order obtained from triangular norms to be a lattice ⋮ Partial orders on the power sets of Baer rings ⋮ The Iséki-type characterization of certain regular ordered semigroups ⋮ On the question of embedding a semigroup into a semiband. ⋮ Natural partial order induced by a commutative, associative and idempotent function ⋮ Weighted (b,c)-inverses in categories and semigroups ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Natural partial order on rings with involution ⋮ Binary relations induced from quasi-overlap functions and quasi-grouping functions on a bounded lattice ⋮ WEIGHTED CORE–EP INVERSE AND WEIGHTED CORE–EP PRE-ORDERS IN A -ALGEBRA ⋮ On a question of Drazin ⋮ Group-regular rings ⋮ Ordering Orders and Quotient Rings ⋮ INJECTIVE LINEAR TRANSFORMATIONS WITH EQUAL GAP AND DEFECT ⋮ A partial order on transformation semigroups with restricted range that preserve double direction equivalence ⋮ Ordered abundant semigroups with adequate transversals ⋮ On some orders in ∗-rings based on the core-EP decomposition ⋮ The natural partial order on regular \(\Gamma\)-semigroups.
Cites Work
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- Naturally ordered transformation semigroups
- On Conrad's partial order relation on semiprime rings and on semigroups
- On left quasinormal orthodox semigroups
- Semigroups under a sandwich operation
- The natural partial order on an abundant semigroup
- The natural partial order on a regular semigroup
- On the compatibility of the natural order on a regular semigroup
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