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Title: Subtraction semigroups (English)
Author: Zelinka, Bohdan
Language: English
Journal: Mathematica Bohemica
ISSN: 0862-7959 (print)
ISSN: 2464-7136 (online)
Volume: 120
Issue: 4
Year: 1995
Pages: 445-447
Summary lang: English
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Category: math
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Summary: A subtraction semigroup is a semigroup $(A,\ldotp,-)$ with a further operation "$-$" added, called subtraction and satisfying certain axioms. The paper concerns a problem by B. M. Schein concerning the structure of multiplication in a subtraction semigroup. (English)
Keyword: difference semigroups
Keyword: identities
Keyword: semigroup reducts
Keyword: subtraction semigroups
Keyword: subtraction algebra
Keyword: Boolean algebra
MSC: 06E05
MSC: 06F05
MSC: 08A02
MSC: 20M10
MSC: 20M20
idZBL: Zbl 0851.20057
idMR: MR1415091
DOI: 10.21136/MB.1995.126093
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Date available: 2009-09-24T21:14:00Z
Last updated: 2020-07-29
Stable URL: http://hdl.handle.net/10338.dmlcz/126093
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Reference: [1] Abbott J. C.: Sets, lattices and Boolean algebras.Allyn and Bacon, Boston, 1969. Zbl 0222.06001, MR 0242723
Reference: [2] Schein B. M.: Difference semigroups.Communications in Algebra 20 (1992), 2153-2169. Zbl 0798.20058, MR 1172654, 10.1080/00927879208824453
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