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dc.contributor.author Chakrabarti, S.
dc.date.accessioned 2019-06-18T17:56:34Z
dc.date.available 2019-06-18T17:56:34Z
dc.date.issued 2005
dc.identifier.citation Steiner P-algebras / S. Chakrabarti // Algebra and Discrete Mathematics. — 2005. — Vol. 4, № 2. — С. 36–45. — Бібліогр.: 4 назв. — англ. uk_UA
dc.identifier.issn 1726-3255
dc.identifier.other 2000 Mathematics Subject Classification: 08A62.
dc.identifier.uri http://dspace.nbuv.gov.ua/handle/123456789/156624
dc.description.abstract General algebraic systems are able to formalize problems of different branches of mathematics from the algebraic point of view by establishing the connectivity between them. It has lots of applications in theoretical computer science, secure communications etc. Combinatorial designs play significant role in these areas. Steiner Triple Systems (STS) which are particular case of Balanced Incomplete Block Designs (BIBD) from combinatorics can be regarded as algebraic systems. Steiner quasigroups (Squags) and Steiner loops (Sloops) are two well known algebraic systems which are connected to STS. There is a one-to-one correspondence between STS and finite Squags and finite Sloops. A new algebraic system w.r.to a ternary operation P based on a Steiner Triple System introduced in [3]. In this paper the abstraction and the generalization of the properties of the ternary operation defined in [3] has been made. A new class of algebraic systems Steiner P-algebras has been introduced. The one-to-one correspondence between STS on a linearly ordered set and finite Steiner P-algebras has been established. Some identities have been proved. uk_UA
dc.description.sponsorship Author is grateful to Dr.P.K.Saxena; Director, SAG, DRDO for his permission and constant encouragement for the research. My heartiest thanks to Dr.R.K.Khanna; Scientist ’E’, SAG for valuable discussions and constant inspiration throughout this research work. Author also expressed her heartiest gratitude to Prof V.A.Artamonov for his valuable comments for the improvements of the paper. uk_UA
dc.language.iso en uk_UA
dc.publisher Інститут прикладної математики і механіки НАН України uk_UA
dc.relation.ispartof Algebra and Discrete Mathematics
dc.title Steiner P-algebras uk_UA
dc.type Article uk_UA
dc.status published earlier uk_UA


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