On Hartwig–Nambooripad orders

Alexander Guterman; Xavier Mary; Pavel Shteyner

doi:10.1007/s00233-018-9940-7

On Hartwig–Nambooripad orders

Alexander Guterman
, Xavier Mary
, Pavel Shteyner

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

Abstract

We obtain several equivalent characterizations for the Hartwig–Nambooripad order based on outer inverses. We also introduce new partial orders on arbitrary semigroups extending these regular semigroup orders. On epigroups these new partial orders admit characterizations in terms of outer inverses.

Original language	English
Pages (from-to)	64-74
Number of pages	11
Journal	Semigroup Forum
Volume	98
Issue number	1
DOIs	https://doi.org/10.1007/s00233-018-9940-7
State	Published - 15 Feb 2019
Externally published	Yes

Keywords

Generalized inverses
Hartwig–Nambooripad order
Ordered semigroups

ASJC Scopus subject areas

Algebra and Number Theory

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10.1007/s00233-018-9940-7

Cite this

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title = "On Hartwig–Nambooripad orders",

abstract = "We obtain several equivalent characterizations for the Hartwig–Nambooripad order based on outer inverses. We also introduce new partial orders on arbitrary semigroups extending these regular semigroup orders. On epigroups these new partial orders admit characterizations in terms of outer inverses.",

keywords = "Generalized inverses, Hartwig–Nambooripad order, Ordered semigroups",

author = "Alexander Guterman and Xavier Mary and Pavel Shteyner",

note = "Publisher Copyright: {\textcopyright} 2018, Springer Science+Business Media, LLC, part of Springer Nature.",

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T1 - On Hartwig–Nambooripad orders

AU - Guterman, Alexander

AU - Mary, Xavier

AU - Shteyner, Pavel

PY - 2019/2/15

Y1 - 2019/2/15

N2 - We obtain several equivalent characterizations for the Hartwig–Nambooripad order based on outer inverses. We also introduce new partial orders on arbitrary semigroups extending these regular semigroup orders. On epigroups these new partial orders admit characterizations in terms of outer inverses.

AB - We obtain several equivalent characterizations for the Hartwig–Nambooripad order based on outer inverses. We also introduce new partial orders on arbitrary semigroups extending these regular semigroup orders. On epigroups these new partial orders admit characterizations in terms of outer inverses.

KW - Generalized inverses

KW - Hartwig–Nambooripad order

KW - Ordered semigroups

UR - https://www.scopus.com/pages/publications/85045766622

U2 - 10.1007/s00233-018-9940-7

DO - 10.1007/s00233-018-9940-7

M3 - Article

SN - 0037-1912

VL - 98

SP - 64

EP - 74

JO - Semigroup Forum

JF - Semigroup Forum

IS - 1

ER -

On Hartwig–Nambooripad orders

Abstract

Keywords

ASJC Scopus subject areas

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