Accession Number:

AD0691257

Title:

SEMIGROUPS SATISFYING RING-LIKE CONDITIONS.

Descriptive Note:

Technical rept.,

Corporate Author:

IOWA UNIV IOWA CITY DEPT OF MATHEMATICS

Personal Author(s):

Report Date:

1969-05-01

Pagination or Media Count:

58.0

Abstract:

A subset RS of a semigroup S is introduced and examined under special conditions. Arising from the study is the following characterization RS S if and only if each element of S has finite order and each idempotent element is a left zero of S. But RS S is equivalent to the condition that S has no modular right congruences different from the universal congruence. Hence, in the setting of automaton theory, RS S if and only if every strictly cyclic automaton over S is isomorphic to Supsilon, the null automaton of cardinality one. Equivalently, every strictly cyclic automaton over S is the null automaton of cardinality one if and only if each element of S has finite order and each idempotent element is a left zero of S. Author

Subject Categories:

  • Theoretical Mathematics
  • Bionics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE