All subvarieties of a certain variety of semigroups

Mario Petrich

doi:10.1007/bf02315970

journal article Mar 01, 1974

All subvarieties of a certain variety of semigroups

Mario Petrich

Semigroup Forum Vol. 7 No. 1-4 pp. 104-152 · Springer Science and Business Media LLC

View at Publisher Save 10.1007/bf02315970

Topics

No keywords indexed for this article. Browse by subject →

References

18

[1]

Chrislock, J.L.,A certain class of identities on semigroups, Proc. Amer. Math. Soc. 21 (1969), 189–190. 10.1090/s0002-9939-1969-0237673-5

[2]

Evans, T.,The lattice of semigroup varieties Semigroup Forum 2 (1971), 1–43. 10.1007/bf02572269

[3]

Gerhard, J.A. and A. Shafaat,Semivarieties of idempotent semigroups, Proc. London Math.Soc.(3) 22 (1971), 667–680 10.1112/plms/s3-22.4.667

[4]

Grätzer, G.,Universal algebra, Van Nostrand, Princeton, 1968.

[5]

Mamikonjan, S.G.,Varieties of residually finite semigroups, Mat. Sbornik 88 (1972), 353–359 (in Russian).

[6]

Melnik, I.I.,On varieties and lattices of semigroup varieties, Research in Algebra, V.V. Vagner (editor), Izd. Saratov. Univ., issue 2(1970), 47–57 (in Russian).

[7]

Melnik,I.I.,On a family of semigroup varieties, Izv. Vyss. Učebn. Zav. Mat. 12 (115) (1971), 103–108 (in Russian).

[8]

Melnik, I.I.,Normal closures of perfect varieties of universal algebras, Ordered sets and lattices, V.N. Salii (editor), Izd. Saratov. Univ., issue 1(1971), 56–65 (in Russian).

[9]

Melnik, I.I.,A description of certain lattices of semigroup varieties, Izv. Vysš. Učebn. Zav. Mat. 7 (122) (1972), 65–74 (in Russian).

[10]

Neumann, H.,Varieties of groups, Erg. Math.u. i. Grenzg., Vol. 37, Springer, Berlin, 1967. 10.1007/978-3-642-88599-0

[11]

Petrich, M.,A construction and a classification of bands, Math. Nachr. 48 (1971), 263–271. 10.1002/mana.19710480119

[12]

Petrich, M.,Introduction to semigroups, Merrill, Columbus, 1973.

[13]

Petrich, M.,Normal bands of commutative cancellative semigroups, Duke Math. J. 40 (1973), 17–32. 10.1215/s0012-7094-73-04003-9

[14]

Petrich, M.,Varieties of orthodox bands of groups (to appear).

[15]

Salie, V.N.,Equationally normal varieties of semigroups, Izv. Vysš. Učbn. Zav. Mat. 5 (84) (1969), 61–68 (in Russian).

[16]

Saliî, V.N.,Lectures in lattice theory, Izd. Saratov. Univ., 1970 (in Russian).

[17]

Schwabauer, R.J.,The lattice of closed sets of commutative semigroup equations, Doctoral Dissertation, Univ. of Nebraska, 1965

[18]

Szász, G.,Introduction to lattice theory, Academic Press, New York, London, 1963.

Cited By

9

Dualities in lattices of semigroup varieties

B. M. Vernikov · 1990

Semigroup Forum

Metrics

9

Citations

18

References

Details

Published: Mar 01, 1974
Vol/Issue: 7(1-4)
Pages: 104-152
License: View

Authors

M

Mario Petrich

Cite This Article

Mario Petrich (1974). All subvarieties of a certain variety of semigroups. Semigroup Forum, 7(1-4), 104-152. https://doi.org/10.1007/bf02315970

All subvarieties of a certain variety of semigroups

You May Also Like