On minimal ideals in semigroups with respect to their subsets. I.
Mathematica Bohemica (1997)
- Volume: 122, Issue: 1, page 1-12
- ISSN: 0862-7959
Access Full Article
top
Abstract
topHow to cite
topAbrhan, Imrich. "On minimal ideals in semigroups with respect to their subsets. I.." Mathematica Bohemica 122.1 (1997): 1-12. <http://eudml.org/doc/248133>.
@article{Abrhan1997,
abstract = {In the paper, the following concept are defined: (i) a minimal left (right, two-sided) ideal with respect to a subset $B$ of a semigroup $S$, (ii) a kernel with respect to a subset $B$ of a semigroup $S$, and their basic properties are investigated.},
author = {Abrhan, Imrich},
journal = {Mathematica Bohemica},
keywords = {minimal left ideals with respect to subsets of semigroups; kernels with respect to subsets of semigroups; partial groups; minimal left ideals with respect to subsets of semigroups; kernels with respect to subsets of semigroups; partial groups},
language = {eng},
number = {1},
pages = {1-12},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On minimal ideals in semigroups with respect to their subsets. I.},
url = {http://eudml.org/doc/248133},
volume = {122},
year = {1997},
}
TY - JOUR
AU - Abrhan, Imrich
TI - On minimal ideals in semigroups with respect to their subsets. I.
JO - Mathematica Bohemica
PY - 1997
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 122
IS - 1
SP - 1
EP - 12
AB - In the paper, the following concept are defined: (i) a minimal left (right, two-sided) ideal with respect to a subset $B$ of a semigroup $S$, (ii) a kernel with respect to a subset $B$ of a semigroup $S$, and their basic properties are investigated.
LA - eng
KW - minimal left ideals with respect to subsets of semigroups; kernels with respect to subsets of semigroups; partial groups; minimal left ideals with respect to subsets of semigroups; kernels with respect to subsets of semigroups; partial groups
UR - http://eudml.org/doc/248133
ER -
References
top- A. H. Clifford G. B. Preston, The algebraic theory of semigroups I, II, Amer. Math Soc., Providence, 1961, 1967. (1961)
- E. S. Ljapin, Semigroups. FIZMATGIZ, Moskva, 1960. (In Russian.) (1960)
- A. H. Clifford, 10.2307/2372195, Amer. J. Math. 70 (1948) 521-526. (1948) Zbl0038.01103MR0025476DOI10.2307/2372195
- A. H. Clifford, 10.2307/2372367, Amer. J. Math. 71 (1949), 834-841 (1949) Zbl0045.30101MR0032661DOI10.2307/2372367
- L. Fuchs, On semigroups admitting relative inverses and having minimal ideals, Pbl Math. Debrecen 1 (1950), 227-231. (1950) Zbl0041.35802MR0038948
- G. B. Preston, 10.1112/jlms/s1-29.4.404, J. London Math. Soc. 2. (1954), 404-411. (1954) MR0064037DOI10.1112/jlms/s1-29.4.404
- D. Rees, Note on semigroups, Proc. Cambridge Philos. Soc. 57 (1941), 334-435. (1941) MR0005743
- Š. Schwarz, Theory of semigroups, Sborník prác Prír. fak. Slov. univerzity, IV. Bratislava, 1943. (In Slovak.) (1943)
- Š. Schwarz, On the structure of simple semigroups without zero, Czechoslovak Math. J. 1 (1951), 41-58. (In Russian.) (1951) Zbl0045.15608MR0048428
- Š. Schwarz, On semigroups having a kernel, Czechoslovak Math. J. 1 (1951), 259-301. (In Russian.) (1951) MR0051221
- A. Suschkiewitsch, 10.1007/BF01459084, Math. Ann. 99 (1928), 30-50. (1928) MR1512437DOI10.1007/BF01459084
- O. Steinfeld, Über die Quasiideale von Halbgruppen, Publ. Math. Debrecen 4 (1956), 262-275. (1956) Zbl0070.25301MR0083998
- I. Abrhan, On J-subalgebras in unary algebras, on simple ideals and J-ideals in grupoids and semigroups, Math. Slovaca 28 (1978), no. 1, 61-80. (In Russian.) (1978) MR0527775
Citations in EuDML Documents
topNotesEmbed ?
topYou must be logged in to post comments.
To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.