Two Value Graph Magma Algebras and Amenability

AYDOĞDU P., Boils J. D., López-Permouth S. R., Muhammad R. A.

International Conference on Algebra and Related Topics with Applications, ICARTA 2019, Aligarh, India, 17 - 19 December 2019, vol.392, pp.383-400, (Full Text) identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 392
  • Doi Number: 10.1007/978-981-19-3898-6_30
  • City: Aligarh
  • Country: India
  • Page Numbers: pp.383-400
  • Keywords: Amenable bases, Congeniality of bases, Infinite-dimensional algebras, Proper congeniality, Simple Bases
  • Hacettepe University Affiliated: Yes

Abstract

© 2022, The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.We introduce two value graph magma algebras and examine the amenability of their bases for the commutative case. We use these algebras to construct a commutative algebra which has a unique simple basis up to mutual congeniality and no projective bases.