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International Journal of Algebra and Computation, 2004
In this paper we answer a question posed by John Rhodes: "What are the aperiodic-idempotent-pointlike subsemigroups of S?" Answer: Precisely those aperiodic-pointlike subsemigroups that are idempotents, i.e. EPlA(S)={X|X≤E=E2∈PlA(S)}. In the proof we define, for a given variety V (closed under n-tuple expansion) and a given relation R:S-V∈V computing ...
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In this paper we answer a question posed by John Rhodes: "What are the aperiodic-idempotent-pointlike subsemigroups of S?" Answer: Precisely those aperiodic-pointlike subsemigroups that are idempotents, i.e. EPlA(S)={X|X≤E=E2∈PlA(S)}. In the proof we define, for a given variety V (closed under n-tuple expansion) and a given relation R:S-V∈V computing ...
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RADICALS AND IDEMPOTENTS III: q-CENTRAL IDEMPOTENTS
Bulletin of the Australian Mathematical SocietyAbstractPreviously [‘Radicals and idempotents I, II’, Comm. Alg.49(1) (2021), 73–84 and 50(11) (2022), 4791–4804], we have studied the interaction between radicals of rings and idempotents in general or those of particular types, for example, left semicentral.
E. P. COJUHARI, B. J. GARDNER
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The Review of Symbolic Logic, 2013
AbstractA 1-ary sentential context is aggregative (according to a consequence relation) if the result of putting the conjunction of two formulas into the context is a consequence (by that relation) of the results of putting first the one formula and then the other into that context.
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AbstractA 1-ary sentential context is aggregative (according to a consequence relation) if the result of putting the conjunction of two formulas into the context is a consequence (by that relation) of the results of putting first the one formula and then the other into that context.
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Nonorthogonal Idempotents Whose Sum Is Idempotent
The American Mathematical Monthly, 1964openaire +1 more source