ON SEMIGROUPS WHOSE IDEMPOTENT-GENERATED SUBSEMIGROUP IS APERIODIC

DELGADO MANUEL; H. FERNANDES VÍTOR; S. Margolis; STEINBERG BENJAMIN

ON SEMIGROUPS WHOSE IDEMPOTENT-GENERATED SUBSEMIGROUP IS APERIODIC

DELGADO MANUEL, H. FERNANDES VÍTOR, S. Margolis, STEINBERG BENJAMIN

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We show that if S is a finite semigroup with aperiodic idempotent-generated subsemigroup and H is a pseudovariety of groups, then the sequence of iterated H-kernels of S stops at the idempotent-generated subsemigroup if and only if each subgroup of S belongs to the wreath product closure of H. Applications are given to Mal'cev products. Read More: http://www.worldscientific.com/doi/abs/10.1142/S021819670400202X?journalCode=ijac

Original language	American English
Pages (from-to)	655-665
Journal	International Journal of Algebra and Computation
Volume	14
Issue number	5-6
State	Published - 2004

Cite this

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title = "ON SEMIGROUPS WHOSE IDEMPOTENT-GENERATED SUBSEMIGROUP IS APERIODIC",

abstract = "We show that if S is a finite semigroup with aperiodic idempotent-generated subsemigroup and H is a pseudovariety of groups, then the sequence of iterated H-kernels of S stops at the idempotent-generated subsemigroup if and only if each subgroup of S belongs to the wreath product closure of H. Applications are given to Mal'cev products. Read More: http://www.worldscientific.com/doi/abs/10.1142/S021819670400202X?journalCode=ijac",

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AU - MANUEL, DELGADO

AU - VÍTOR, H. FERNANDES

AU - Margolis, S.

AU - BENJAMIN, STEINBERG

PY - 2004

Y1 - 2004

N2 - We show that if S is a finite semigroup with aperiodic idempotent-generated subsemigroup and H is a pseudovariety of groups, then the sequence of iterated H-kernels of S stops at the idempotent-generated subsemigroup if and only if each subgroup of S belongs to the wreath product closure of H. Applications are given to Mal'cev products. Read More: http://www.worldscientific.com/doi/abs/10.1142/S021819670400202X?journalCode=ijac

AB - We show that if S is a finite semigroup with aperiodic idempotent-generated subsemigroup and H is a pseudovariety of groups, then the sequence of iterated H-kernels of S stops at the idempotent-generated subsemigroup if and only if each subgroup of S belongs to the wreath product closure of H. Applications are given to Mal'cev products. Read More: http://www.worldscientific.com/doi/abs/10.1142/S021819670400202X?journalCode=ijac

UR - http://www.worldscientific.com/doi/abs/10.1142/S021819670400202X?journalCode=ijac

M3 - Article

SN - 0218-1967

VL - 14

SP - 655

EP - 665

JO - International Journal of Algebra and Computation

JF - International Journal of Algebra and Computation

IS - 5-6

ER -

ON SEMIGROUPS WHOSE IDEMPOTENT-GENERATED SUBSEMIGROUP IS APERIODIC

Abstract

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