Affiliation:
1. Siedlce University of Natural Sciences and Humanities , Faculty of Exact and Natural Sciences , ul. 3 Maja 54, 08-110 Siedlce , Poland
Abstract
Abstract
This paper presents some generalizations of BCI algebras (the RM, tRM, *RM, RM**, *RM**, aRM**, *aRM**, BCH**, BZ, pre-BZ and pre-BCI algebras). We investigate the p-semisimple property for algebras mentioned above; give some examples and display various conditions equivalent to p-semisimplicity. Finally, we present a model of mereology without antisymmetry (NAM) which could represent a tRM algebra.
Reference21 articles.
1. [1] Aslam, Muhammad, and Allah-Bakhsh Thaheem. “A note on p-semisimple BCI-algebras.” Math. Japon. 36, no. 1 (1991): 39-45. Cited on 79.
2. [2] Clay, Robert Edward. “Relation of Leśniewski’s mereology to Boolean algebra.” J. Symbolic Logic 39 (1974): 638-648. Cited on 91.
3. [3] Hoo, Cheong Seng. “Closed ideals and p-semisimple BCI-algebras.” Math. Japon. 35, no. 6 (1990): 1103-1112. Cited on 79.
4. [4] Hu, Qing Ping, and Xin Li. “On BCH-algebras.” Math. Sem. Notes Kobe Univ. 11, no. 2 (1983): 313-320. Cited on 79.
5. [5] Imai, Yasuyuki, and Kiyoshi Iséki. “On axiom systems of propositional calculi. XIV.” Proc. Japan Acad. 42 (1966): 19-22. Cited on 79.
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献