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JP Journal of Algebra, Number Theory and Applications

JP Journal of Algebra, Number Theory and Applications
Volume 37, Issue 2, Pages 185 - 208 (October 2015)
http://dx.doi.org/10.17654/JPANTAOct2015_185_208

ON TRANSFINITE CONSTRUCTION OF A CLASS OF DIRECTED RINGOIDS

Sergey V. Ludkovsky

Abstract:

Classes of non-associative algebroids and ringoids are investigated. The subclasses of directed non-associative algebroids and ringoids are studied as well. Their extensions and embeddings are investigated. A procedure for transfinite construction of a class of directed ringoids is studied. Examples are given.

Keywords and phrases:

non-associative, algebroid, ringoid.

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