The Synthesis Theorem for finite regular semigroups, and its generalization

Jean Camille Birget

doi:10.1016/0022-4049(88)90040-0

The Synthesis Theorem for finite regular semigroups, and its generalization

Jean Camille Birget

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

10 Scopus citations

Abstract

The Synthesis Theorem describes the global structure of a semigroup and gives its multiplication in 'coordinate form'. Rees' theorem and the Krohn-Rhodes theorem are special cases. The theorem holds for all finite semigroups and also for a rather general class of infinite semigroups.

Original language	English (US)
Pages (from-to)	1-79
Number of pages	79
Journal	Journal of Pure and Applied Algebra
Volume	55
Issue number	1-2
DOIs	https://doi.org/10.1016/0022-4049(88)90040-0
State	Published - Nov 1988
Externally published	Yes

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

Access to Document

10.1016/0022-4049(88)90040-0

Cite this

@article{dd8e28ab79fb4747b465d664720bee6d,

title = "The Synthesis Theorem for finite regular semigroups, and its generalization",

abstract = "The Synthesis Theorem describes the global structure of a semigroup and gives its multiplication in 'coordinate form'. Rees' theorem and the Krohn-Rhodes theorem are special cases. The theorem holds for all finite semigroups and also for a rather general class of infinite semigroups.",

author = "Birget, \{Jean Camille\}",

note = "Funding Information: * This work was done in part at the Center for Mathematical System Theory, University of Florida, Gainesville, Florida 32611, and was supported in part by US Army Research Grant DAAG29-81-K-0136 and US Air Force Grant AFOSR81-0238 through the Center for Mathematical System Theory.",

year = "1988",

month = nov,

doi = "10.1016/0022-4049(88)90040-0",

language = "English (US)",

volume = "55",

pages = "1--79",

journal = "Journal of Pure and Applied Algebra",

issn = "0022-4049",

publisher = "Elsevier B.V.",

number = "1-2",

}

TY - JOUR

T1 - The Synthesis Theorem for finite regular semigroups, and its generalization

AU - Birget, Jean Camille

N1 - Funding Information: * This work was done in part at the Center for Mathematical System Theory, University of Florida, Gainesville, Florida 32611, and was supported in part by US Army Research Grant DAAG29-81-K-0136 and US Air Force Grant AFOSR81-0238 through the Center for Mathematical System Theory.

PY - 1988/11

Y1 - 1988/11

N2 - The Synthesis Theorem describes the global structure of a semigroup and gives its multiplication in 'coordinate form'. Rees' theorem and the Krohn-Rhodes theorem are special cases. The theorem holds for all finite semigroups and also for a rather general class of infinite semigroups.

AB - The Synthesis Theorem describes the global structure of a semigroup and gives its multiplication in 'coordinate form'. Rees' theorem and the Krohn-Rhodes theorem are special cases. The theorem holds for all finite semigroups and also for a rather general class of infinite semigroups.

UR - https://www.scopus.com/pages/publications/38249029379

UR - https://www.scopus.com/pages/publications/38249029379#tab=citedBy

U2 - 10.1016/0022-4049(88)90040-0

DO - 10.1016/0022-4049(88)90040-0

M3 - Article

AN - SCOPUS:38249029379

SN - 0022-4049

VL - 55

SP - 1

EP - 79

JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

IS - 1-2

ER -

The Synthesis Theorem for finite regular semigroups, and its generalization

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this