Small idempotent clones. I

Józef Dudek

Czechoslovak Mathematical Journal (1998)

  • Volume: 48, Issue: 1, page 105-118
  • ISSN: 0011-4642

Abstract

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G. Grätzer and A. Kisielewicz devoted one section of their survey paper concerning p n -sequences and free spectra of algebras to the topic “Small idempotent clones” (see Section 6 of [18]). Many authors, e.g., [8], [14, 15], [22], [25] and [29, 30] were interested in p n -sequences of idempotent algebras with small rates of growth. In this paper we continue this topic and characterize all idempotent groupoids ( G , · ) with p 2 ( G , · ) ≤ 2 (see Section 7). Such groupoids appear in many papers see, e.g. [1], [4], [21], [26, 27], [25], [28, 30, 31, 32] and [34].

How to cite

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Dudek, Józef. "Small idempotent clones. I." Czechoslovak Mathematical Journal 48.1 (1998): 105-118. <http://eudml.org/doc/30406>.

@article{Dudek1998,
abstract = {G. Grätzer and A. Kisielewicz devoted one section of their survey paper concerning $p_n$-sequences and free spectra of algebras to the topic “Small idempotent clones” (see Section 6 of [18]). Many authors, e.g., [8], [14, 15], [22], [25] and [29, 30] were interested in $p_n$-sequences of idempotent algebras with small rates of growth. In this paper we continue this topic and characterize all idempotent groupoids $(G,\cdot )$ with $p_2(G,\cdot )\le 2$ (see Section 7). Such groupoids appear in many papers see, e.g. [1], [4], [21], [26, 27], [25], [28, 30, 31, 32] and [34].},
author = {Dudek, Józef},
journal = {Czechoslovak Mathematical Journal},
keywords = {varieties of idempotent groupoids; -ary polynomials},
language = {eng},
number = {1},
pages = {105-118},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Small idempotent clones. I},
url = {http://eudml.org/doc/30406},
volume = {48},
year = {1998},
}

TY - JOUR
AU - Dudek, Józef
TI - Small idempotent clones. I
JO - Czechoslovak Mathematical Journal
PY - 1998
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 48
IS - 1
SP - 105
EP - 118
AB - G. Grätzer and A. Kisielewicz devoted one section of their survey paper concerning $p_n$-sequences and free spectra of algebras to the topic “Small idempotent clones” (see Section 6 of [18]). Many authors, e.g., [8], [14, 15], [22], [25] and [29, 30] were interested in $p_n$-sequences of idempotent algebras with small rates of growth. In this paper we continue this topic and characterize all idempotent groupoids $(G,\cdot )$ with $p_2(G,\cdot )\le 2$ (see Section 7). Such groupoids appear in many papers see, e.g. [1], [4], [21], [26, 27], [25], [28, 30, 31, 32] and [34].
LA - eng
KW - varieties of idempotent groupoids; -ary polynomials
UR - http://eudml.org/doc/30406
ER -

References

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